{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Lecture 4: Programming a quantum algorithm with pyQuil\n", "\n", "This notebook is part of the course [CS 269Q: Quantum Computer Programming](https://cs269q.stanford.edu/), offered at Stanford in the Spring of 2019.\n", "\n", "It was created by [Peter Karalekas](https://github.com/karalekas), Quantum Software Engineer at [Rigetti Computing](https://rigetti.com/) and Guest Lecturer for the course.\n", "\n", "## Introduction\n", "\n", "In this lecture, we will build up the mathematical and software tools required to implement our very first quantum algorithm—[Deutsch's algorithm](https://en.wikipedia.org/wiki/Deutsch%E2%80%93Jozsa_algorithm)—using [pyQuil](https://github.com/rigetti/pyquil) and the [QVM](https://github.com/rigetti/qvm) to step through the protocol and inspect the wavefunction. The three things that we will need to understand before we get to the algorithm are:\n", "\n", "- [Part I: The wavefunction & quantum circuits](#wavefunction)\n", "- [Part II: Classical logic & function evaluation](#classical-logic)\n", "- [Part III: Quantum parallelism](#parallelism)\n", "\n", "Once we've worked through these concepts, we will then conclude with [Part IV: Deutsch's algorithm](#deutsch).\n", "\n", "## Setup\n", "\n", "If you are running this from [Binder](https://mybinder.org/v2/gh/karalekas/stanford-cs269q/master?urlpath=lab/tree/Lecture4.ipynb), then you don't need to worry about any setup, but I do recommend that you click on \"Kernel > Restart & Clear Output\" before running through the notebook.\n", "\n", "If you've cloned this notebook locally, you'll need to get a QVM server running and install all the notebook dependencies. To run a QVM server on the standard port (5000), the command is simply `qvm -S`. This assumes that you have a correctly configured `~/.forest_config` file with `qvm_address` equal to `http://localhost:5000`. As for dependencies, this notebook uses `python3.6` and requires `pyquil`, `matplotlib`, and `qutip` to run. The `qutip` package in turn requires preinstalled `cython`, `numpy`, and `scipy`.\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Part I: The wavefunction & quantum circuits\n", "\n", "We begin by doing our standard imports. We will explain below what each of these things means." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from pyquil import Program\n", "from pyquil.api import QVMConnection\n", "from pyquil.gates import I, H, X, CNOT, MEASURE" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Gross Plotting Code\n", "\n", "Understanding this code is not important at all for this lecture. I will eventually clean it up and add the useful bits to the mainline codebase for pyquil." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "from mpl_toolkits.mplot3d import Axes3D\n", "from pyquil.wavefunction import get_bitstring_from_index, Wavefunction\n", "from qutip import Bloch, basis\n", "\n", "def plot_bloch(wf: Wavefunction, axes=None, fig=None):\n", " if len(wf.amplitudes) > 2:\n", " raise ValueError('Bloch sphere plotting only works with 1Q')\n", " state = (wf.amplitudes[0] * basis(2,0) + wf.amplitudes[1] * basis(2,1))\n", " b = Bloch(fig=fig, axes=axes)\n", " b.add_states(state)\n", " b.render(fig=fig, axes=axes)\n", "\n", "def plot_probabilities(wf: Wavefunction, axes=None, qubit_subset=None):\n", " prob_dict = wf.get_outcome_probs()\n", " if qubit_subset:\n", " sub_dict = {}\n", " qubit_num = len(wf)\n", " for i in qubit_subset:\n", " if i > (2**qubit_num - 1):\n", " raise IndexError(\"Index {} too large for {} qubits.\".format(i, qubit_num))\n", " else:\n", " sub_dict[get_bitstring_from_index(i, qubit_num)] = prob_dict[get_bitstring_from_index(i, qubit_num)]\n", " prob_dict = sub_dict\n", " axes.set_ylim(0, 1)\n", " axes.set_ylabel('Outcome probability', fontsize=16)\n", " axes.set_xlabel('Bitstring outcome', fontsize=16)\n", " axes.bar(range(len(prob_dict)), prob_dict.values(), align='center', color='#6CAFB7')\n", " axes.set_xticks(range(len(prob_dict)))\n", " axes.set_xticklabels(prob_dict.keys(), fontsize=14)\n", " \n", "def plot_wf(wf: Wavefunction, wf0=None, wf1=None, bitstring_subset=None):\n", " if len(wf.amplitudes) == 2:\n", " fig = plt.figure(figsize=(12, 6))\n", " wf_ax = fig.add_subplot(121)\n", " plot_probabilities(wf, axes=wf_ax, qubit_subset=bitstring_subset)\n", " bloch_ax = fig.add_subplot(122, projection='3d')\n", " plot_bloch(wf, axes=bloch_ax, fig=fig)\n", " fig.suptitle(f'$|\\psi>$ = {wf}\\n', fontsize=16)\n", " elif len(wf.amplitudes) == 4 and wf0 is not None and wf1 is not None:\n", " fig = plt.figure(figsize=(18, 6))\n", " wf_ax = fig.add_subplot(131)\n", " plot_probabilities(wf, axes=wf_ax, qubit_subset=bitstring_subset)\n", " bloch1_ax = fig.add_subplot(132, projection='3d')\n", " plot_bloch(wf1, axes=bloch1_ax, fig=fig)\n", " bloch0_ax = fig.add_subplot(133, projection='3d')\n", " plot_bloch(wf0, axes=bloch0_ax, fig=fig)\n", " fig.suptitle(f'$|\\psi>$ = {wf}\\n', fontsize=18)\n", " else:\n", " fig = plt.figure(figsize=(6, 6))\n", " wf_ax = fig.add_subplot(111)\n", " plot_probabilities(wf, axes=wf_ax, qubit_subset=bitstring_subset)\n", " fig.suptitle(f'$|\\psi>$ = {wf}\\n', fontsize=16)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Initialize our `QVMConnection` object\n", "\n", "The `QVMConnection` object contains everything we need to communicate with the QVM server process. It also has two methods that we will be concerned with for today—`wavefunction` and `run`.\n", "\n", "The `wavefunction` method takes a `Program` object as input, uses it to evolve the state of the QVM, and then returns the wavefunction (quantum memory) to the user, in the form of a complex array (state vector). We'll mostly be using the `wavefunction` method today because it is incredibly convenient and instructive, but it is important to note that there is no way to inspect the wavefunction on a real quantum computer.\n", "\n", "The `run` method also takes `Program` object as input and uses it to evolve the state of the QVM, but instead of returning the wavefunction, it returns the block of classical memory named \"ro\". Thus, `Program`s supplied to `run` need to have readout memory declared, and measurement at the end, to return something to the user. We'll learn more about this is part 2." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "qvm = QVMConnection()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Create a `Program` and add gates\n", "\n", "The `Program` object in pyquil is what we use to write Quil programs, which can then be sent to the QVM or a quantum computer. After constructing the `Program`, we can add gates to it by doing something like `p += X(0)`, which adds the `X` gate on qubit 0 to the `Program` stored in variable `p`." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "p = Program()\n", "p += X(0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Wavefunction initial state is $|0\\rangle$\n", "\n", "Now that we understand the `QVMConnection` object, `Program` object, and gates, let's put the three of them together and run on the QVM. As we know, our QVM starts out entirely in the $|0\\rangle$ state, which we verify in the next cell.\n", "\n", "$$|\\psi\\rangle = |0\\rangle$$\n", "\n", "The plots you will see are (1) a bar plot of the probability distribution of the wavefunction, and (2) a Bloch sphere plot of the wavefunction. In addition, the full wavefunction is printed out at the top of the combined plot." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "p = Program()\n", "p += I(0)\n", "wf = qvm.wavefunction(p)\n", "plot_wf(wf)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Run an $X$ gate to flip to $|1\\rangle$\n", "\n", "$$X|0\\rangle = |1\\rangle$$" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "p = Program()\n", "p += X(0)\n", "wf = qvm.wavefunction(p)\n", "plot_wf(wf)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Create the 1Q superposition state $|+\\rangle$ using the $H$ (Hadamard) gate\n", "\n", "$$H|0\\rangle = \\dfrac{|0\\rangle + |1\\rangle}{\\sqrt{2}} = |+\\rangle$$" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "p = Program()\n", "p += H(0)\n", "wf = qvm.wavefunction(p)\n", "plot_wf(wf)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Create the 2Q computational basis state $|10\\rangle$\n", "\n", "$$(X \\otimes I)|00\\rangle = |10\\rangle$$" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "p = Program()\n", "p += I(0)\n", "p += X(1)\n", "wf = qvm.wavefunction(p)\n", "\n", "# this state is a product state\n", "p0 = Program()\n", "p0 += I(0)\n", "wf0 = qvm.wavefunction(p0)\n", "p1 = Program()\n", "p1 += X(1)\n", "wf1 = qvm.wavefunction(p1)\n", "\n", "plot_wf(wf, wf0, wf1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Create the 2Q superposition state $|+,+\\rangle$ using two Hadamard gates\n", "\n", "$$(H \\otimes H)|00\\rangle = \\left( \\dfrac{|0\\rangle + |1\\rangle}{\\sqrt{2}}\\right) \\otimes \\left( \\dfrac{|0\\rangle + |1\\rangle}{\\sqrt{2}}\\right) = |+,+\\rangle$$" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "p = Program()\n", "p += H(0)\n", "p += H(1)\n", "wf = qvm.wavefunction(p)\n", "\n", "# this state is a product state\n", "p0 = Program()\n", "p0 += H(0)\n", "wf0 = qvm.wavefunction(p0)\n", "p1 = Program()\n", "p1 += H(1)\n", "wf1 = qvm.wavefunction(p1)\n", "\n", "plot_wf(wf, wf0, wf1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Create the 2Q entangled (Bell) state $|\\Phi^+\\rangle$\n", "\n", "Note that, because we are in an entangled state, we can no longer factor our state into the tensor product of two individual qubit states (called a \"product state\"), and therefore cannot plot two independent Bloch spheres as we did above.\n", "\n", "$$\\text{CNOT}_{0,1}(I \\otimes H)|00\\rangle = \\text{CNOT}_{0,1}|0\\rangle \\otimes \\left( \\dfrac{|0\\rangle + |1\\rangle}{\\sqrt{2}}\\right) = \\dfrac{|00\\rangle + |11\\rangle}{\\sqrt{2}} = |\\Phi^+\\rangle$$" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "p = Program()\n", "p += H(0)\n", "p += CNOT(0, 1)\n", "wf = qvm.wavefunction(p)\n", "plot_wf(wf)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Part II: Classical logic & function evaluation\n", "\n", "In Computer Science, we learn about Boolean logic gates like `NOT`, `AND`, `OR`, and `XOR`. In quantum computing, we can implement these classical logic gates, but we must reimplement these gates in a way that respects the unitary requirements of quantum logic gates." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Function for calculating the truth table of some circuit\n", "\n", "The contents of the first half of this function are not particularly important to understand. However, the loop at the bottom introduces some new concepts that are important for running on the QVM. Because we are using the `run` method of the QVM now instead of the `wavefunction` method, we need to declare our readout memory \"ro\" and measure our output qubit into the readout register.\n", "\n", "In the following code block, we take an existing `Program` and add a `DECLARE` statement to it. The first argument is the name of the block of memory (\"ro\"), and the second argument is the data type (\"BIT\"). There is an optional third argument for specifying the length of the block, but it defaults to 1 (which is what we want). This line looks different than the typical `+= INSTRUCTION` format because the return value of the `declare` method is important to us. This variable `ro` is then passed to the `MEASURE` instruction in the following code block.\n", "\n", "```\n", "ro = p.declare('ro', 'BIT')\n", "```\n", "\n", "In this code block we add a `MEASURE` instruction to the end of our `Program`. The first argument of the instruction is the qubit that we want to measure (in our case this is whatever qubit we declare to represent the \"out\" bit of our Boolean function). The second argument is the memory reference variable that corresponds to a particular readout register. Our readout memory is of length 1, and so we select the first (zero-indexed) address to use.\n", "\n", "```\n", "p += MEASURE(out, ro[0])\n", "```" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "import itertools\n", "\n", "gate_map = {'0': I, '1': X}\n", "\n", "def calculate_truth_table(qvm: QVMConnection, circuit: Program, name: str, out: int, ancilla: int):\n", " if ancilla:\n", " qubits = circuit.get_qubits() - {ancilla}\n", " else:\n", " qubits = circuit.get_qubits()\n", " num_qubits_set = set(range(len(qubits)))\n", " if qubits != num_qubits_set:\n", " raise ValueError('Please index the qubits of your circuit starting at 0')\n", " \n", " bitstrings = itertools.product('01', repeat=len(qubits))\n", " print(f'\\n{name}\\n')\n", " print('in -> out\\n---------')\n", " \n", " for bitstring in bitstrings:\n", " p = Program()\n", " ro = p.declare('ro', 'BIT')\n", " for idx, bit in enumerate(reversed(list(bitstring))):\n", " p += gate_map[bit](idx)\n", " p += circuit\n", " p += MEASURE(out, ro[0])\n", " result = qvm.run(p)\n", " print(f\"{''.join(bitstring)} -> {result[0][0]}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Encoding Boolean functions of 1-bit domain in quantum circuits\n", "\n", "$$x \\in \\{0,1\\} \\hspace{1cm} f(x) \\rightarrow \\{0,1\\}$$\n", "\n", "One-bit boolean functions represent the simplest classical logic we can implement on a quantum computer. There are four possible one-bit functions $f(x)$, and we will work through all of them.\n", "\n", "### Balanced functions\n", "\n", "$$\\text{Balanced-}I : (0 \\rightarrow 0, 1 \\rightarrow 1)\n", "\\hspace{1 cm}\n", "\\text{Balanced-}X : (0 \\rightarrow 1, 1 \\rightarrow 0)$$\n", "\n", "For the balanced 1-bit functions, it’s pretty easy to come up with a quantum circuit that works. If we use just an $I$ gate for Balanced-$I$ and just an $X$ gate for Balanced-$X$, we can produce a quantum circuit $U_f$ that maps $|x\\rangle \\rightarrow |f(x)\\rangle$. Knowing the gate and the output, we can reproduce the input, which means our circuit satisfies the requirements of unitarity—it is length persevering and invertible.\n", "\n", "### Constant functions\n", "\n", "$$\\text{Constant-}0 : (0 \\rightarrow 0, 1 \\rightarrow 0)\n", "\\hspace{1 cm}\n", "\\text{Constant-}1 : (0 \\rightarrow 1, 1 \\rightarrow 1)$$\n", "\n", "However, coming up with the circuit for the constant functions seems less trivial. You can write down a matrix that maps the 0 state to the 0 state and the 1 state to the 0 state, but this matrix has some problems. It is not invertible (determinant 0) and it is not length preserving (superposition state changes length), and therefore it is not unitary. We can also see that it is not reversible simply from the truth table—knowing the output and the gate isn’t enough to get back to the input.\n", "\n", "### Ancilla qubits\n", "\n", "$$|0, x\\rangle \\rightarrow |f(x), x\\rangle$$\n", "\n", "In order to write this function as a quantum circuit, we need to introduce a new concept—the ancilla qubit. An ancilla qubit is an additional qubit used in a computation that we know the initial state of. Using an ancilla, we can produce a quantum circuit $U_f$ that maps $|0, x\\rangle \\rightarrow |f(x), x\\rangle$. Now, we can come up with a unitary matrix (albeit a trivial one) that allows us to evaluate constant functions. For the Constant-$0$, we just simply do nothing to the ancilla, and its state encodes $f(x)$. And for the Constant-$1$, all we have to do is flip the ancilla with an $X$ gate, and we get $f(x)$ for all $x$." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ONE-BIT FUNCTIONS\n", "=================\n", "\n", "BALANCED_I\n", "\n", "in -> out\n", "---------\n", "0 -> 0\n", "1 -> 1\n", "\n", "BALANCED_X\n", "\n", "in -> out\n", "---------\n", "0 -> 1\n", "1 -> 0\n", "\n", "CONSTANT_0\n", "\n", "in -> out\n", "---------\n", "0 -> 0\n", "1 -> 0\n", "\n", "CONSTANT_1\n", "\n", "in -> out\n", "---------\n", "0 -> 1\n", "1 -> 1\n" ] } ], "source": [ "one_bit_functions = \"\"\"\n", "DEFCIRCUIT BALANCED_I in out:\n", " CNOT in out\n", "\n", "DEFCIRCUIT BALANCED_X in out:\n", " X out\n", " CNOT in out\n", "\n", "DEFCIRCUIT CONSTANT_0 in out:\n", " I in\n", " I out\n", "\n", "DEFCIRCUIT CONSTANT_1 in out:\n", " I in\n", " X out\n", "\"\"\"\n", "\n", "print('ONE-BIT FUNCTIONS\\n=================')\n", "for circuit in ['BALANCED_I 0 1', 'BALANCED_X 0 1', 'CONSTANT_0 0 1', 'CONSTANT_1 0 1']:\n", " p = Program(one_bit_functions)\n", " p += circuit\n", " calculate_truth_table(qvm=qvm, circuit=p, name=circuit.split(' ')[0], out=1, ancilla=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The Quantum `XOR` gate\n", "\n", "The boolean function `XOR` (for \"exclusive or\") takes in two bits $x$ and $y$ and returns 1 if and only if the values of the bits are different from one another. Otherwise, it returns 0. The operation is written as $x \\oplus y$, and although it is a two-bit function, we can implement it as a quantum circuit without an ancilla, by simply using the $\\text{CNOT}$ gate.\n", "\n", "$$\\textrm{CNOT}_{0,1}|y, x\\rangle = |y \\oplus x, x\\rangle$$\n", "\n", "**Note**: We are using `DEFCIRCUIT` below for consistency, but you could just as easily not use it and instead replace all instances of `QXOR` with `CNOT` for the same effect." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "QUANTUM XOR\n", "===========\n", "\n", "QXOR\n", "\n", "in -> out\n", "---------\n", "00 -> 0\n", "01 -> 1\n", "10 -> 1\n", "11 -> 0\n" ] } ], "source": [ "xor_circuit = \"\"\"\n", "DEFCIRCUIT QXOR x y:\n", " CNOT x y\n", "\"\"\"\n", "\n", "print('QUANTUM XOR\\n===========')\n", "xor = Program(xor_circuit)\n", "xor += 'QXOR 0 1'\n", "calculate_truth_table(qvm=qvm, circuit=xor, name='QXOR', out=1, ancilla=None)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Deutsch Oracle\n", "\n", "In Deutsch's algorithm, you are given something called an oracle (referred to as $U_f$), which maps $|y, x\\rangle \\rightarrow |y \\oplus f(x), x\\rangle$, and the goal is to determine a global property of the function $f(x)$ with as few queries to the oracle as possible. We can combine the two concepts above (one-bit function evaluation with ancillas, and the `XOR` gate), to produce the four implementations of the Deutsch Oracle with one ancilla qubit.\n", "\n", "$$U_f : |y, 0, x\\rangle \\rightarrow |y \\oplus f(x), 0, x\\rangle$$" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "NAIVE DEUTSCH ORACLES\n", "=====================\n", "\n", "DEUTSCH_BALANCED_I\n", "\n", "in -> out\n", "---------\n", "00 -> 0\n", "01 -> 1\n", "10 -> 1\n", "11 -> 0\n", "\n", "DEUTSCH_BALANCED_X\n", "\n", "in -> out\n", "---------\n", "00 -> 1\n", "01 -> 0\n", "10 -> 0\n", "11 -> 1\n", "\n", "DEUTSCH_CONSTANT_0\n", "\n", "in -> out\n", "---------\n", "00 -> 0\n", "01 -> 0\n", "10 -> 1\n", "11 -> 1\n", "\n", "DEUTSCH_CONSTANT_1\n", "\n", "in -> out\n", "---------\n", "00 -> 1\n", "01 -> 1\n", "10 -> 0\n", "11 -> 0\n" ] } ], "source": [ "deutsch_oracles_naive = \"\"\"\n", "DEFCIRCUIT DEUTSCH_BALANCED_I x y fx:\n", " CNOT x fx\n", " CNOT fx y\n", " CNOT x fx\n", "\n", "DEFCIRCUIT DEUTSCH_BALANCED_X x y fx:\n", " X fx\n", " CNOT x fx\n", " CNOT fx y\n", " CNOT x fx\n", " X fx\n", "\n", "DEFCIRCUIT DEUTSCH_CONSTANT_0 x y fx:\n", " I x\n", " I fx\n", " CNOT fx y\n", "\n", "DEFCIRCUIT DEUTSCH_CONSTANT_1 x y fx:\n", " I x\n", " X fx\n", " CNOT fx y\n", " X fx \n", "\"\"\"\n", "\n", "print('NAIVE DEUTSCH ORACLES\\n=====================')\n", "for circuit in ['DEUTSCH_BALANCED_I 0 1 2', 'DEUTSCH_BALANCED_X 0 1 2', 'DEUTSCH_CONSTANT_0 0 1 2', 'DEUTSCH_CONSTANT_1 0 1 2']:\n", " p = Program(deutsch_oracles_naive)\n", " p += circuit\n", " calculate_truth_table(qvm=qvm, circuit=p, name=circuit.split(' ')[0], out=1, ancilla=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Optimized Deutsch Oracle\n", "\n", "For pedagogical reasons, it is nice to separate out the three steps in the Deutsch Oracle—evaluate $f(x)$, calculate $y \\oplus f(x)$, and then return the ancilla to $|0\\rangle$—but in practice we always want to implement our circuits in as few gates as possible (this is especially important when running on a real, noisy quantum computer!). Below, we show how we can rewrite each of the four Deutsch Oracle implementations (which we call $U_f$) without the need for an ancilla qubit.\n", "\n", "$$U_f : |y, x\\rangle \\rightarrow |y \\oplus f(x), x\\rangle$$" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "OPTIMIZED DEUTSCH ORACLES\n", "=========================\n", "\n", "DEUTSCH_BALANCED_I\n", "\n", "in -> out\n", "---------\n", "00 -> 0\n", "01 -> 1\n", "10 -> 1\n", "11 -> 0\n", "\n", "DEUTSCH_BALANCED_X\n", "\n", "in -> out\n", "---------\n", "00 -> 1\n", "01 -> 0\n", "10 -> 0\n", "11 -> 1\n", "\n", "DEUTSCH_CONSTANT_0\n", "\n", "in -> out\n", "---------\n", "00 -> 0\n", "01 -> 0\n", "10 -> 1\n", "11 -> 1\n", "\n", "DEUTSCH_CONSTANT_1\n", "\n", "in -> out\n", "---------\n", "00 -> 1\n", "01 -> 1\n", "10 -> 0\n", "11 -> 0\n" ] } ], "source": [ "deutsch_oracles = \"\"\"\n", "DEFCIRCUIT DEUTSCH_BALANCED_I x y:\n", " CNOT x y\n", "\n", "DEFCIRCUIT DEUTSCH_BALANCED_X x y:\n", " X x\n", " CNOT x y\n", " X x\n", "\n", "DEFCIRCUIT DEUTSCH_CONSTANT_0 x y:\n", " I x\n", " I y\n", "\n", "DEFCIRCUIT DEUTSCH_CONSTANT_1 x y:\n", " I x\n", " X y\n", "\"\"\"\n", "\n", "print('OPTIMIZED DEUTSCH ORACLES\\n=========================')\n", "for circuit in ['DEUTSCH_BALANCED_I 0 1', 'DEUTSCH_BALANCED_X 0 1', 'DEUTSCH_CONSTANT_0 0 1', 'DEUTSCH_CONSTANT_1 0 1']:\n", " p = Program(deutsch_oracles)\n", " p += circuit\n", " calculate_truth_table(qvm=qvm, circuit=p, name=circuit.split(' ')[0], out=1, ancilla=None)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Part III: Quantum Parallelism\n", "\n", "In the previous section, we showed that we could implement classical logic using quantum circuits. However, when using a computational basis state ($|0\\rangle$ or $|1\\rangle$), we don't do anything more interesting than a classical computer can do. If we instead feed a superposition state into one of these circuits, we can effectively evaluate a function $f(x)$ on multiple values of $x$ at once!\n", "\n", "$$U_f : |0,+\\rangle \\rightarrow \\dfrac{|f(0), 0\\rangle + |f(1), 1\\rangle}{\\sqrt{2}}$$\n", "\n", "$$U_f : |0,-\\rangle \\rightarrow \\dfrac{|f(0), 0\\rangle - |f(1), 1\\rangle}{\\sqrt{2}}$$\n", "\n", "It is important to note, that although this quantum parallelism concept is interesting, we are unable to learn about both $f(0)$ and $f(1)$ when the states above are in that form. This is due to the fact that we can only extract one classical bit's worth of information from a quantum computer (of 1 qubit) when we measure it. But, as we will find in Deutsch's algorithm below, we can cleverly take advantage of quantum parallelism to do things that a classical computer cannot, even with the constraint that measurement yields only one classical bit." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Run Balanced-$I$ on state $|0, +\\rangle$\n", "\n", "$$\\text{CNOT}_{0,1}|0,+\\rangle = \\dfrac{|0, 0\\rangle + |1, 1\\rangle}{\\sqrt{2}}$$" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "balanced_I = Program(one_bit_functions)\n", "balanced_I += H(0)\n", "balanced_I += 'BALANCED_I 0 1'\n", "wf = qvm.wavefunction(balanced_I)\n", "plot_wf(wf)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Run Balanced-$I$ on state $|0, -\\rangle$\n", "\n", "$$\\text{CNOT}_{0,1}|0,-\\rangle = \\dfrac{|0, 0\\rangle - |1, 1\\rangle}{\\sqrt{2}}$$" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "balanced_I = Program(one_bit_functions)\n", "balanced_I += X(0)\n", "balanced_I += H(0)\n", "balanced_I += 'BALANCED_I 0 1'\n", "wf = qvm.wavefunction(balanced_I)\n", "plot_wf(wf)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Run Balanced-$X$ on state $|0, +\\rangle$\n", "\n", "$$(I \\otimes X)\\text{CNOT}_{0,1}(I \\otimes X)|0, +\\rangle = \\dfrac{|1, 0\\rangle + |0, 1\\rangle}{\\sqrt{2}}$$" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "balanced_X = Program(one_bit_functions)\n", "balanced_X += H(0)\n", "balanced_X += 'BALANCED_X 0 1'\n", "wf = qvm.wavefunction(balanced_X)\n", "plot_wf(wf)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Run Balanced-$X$ on state $|0, -\\rangle$\n", "\n", "$$(I \\otimes X)\\text{CNOT}_{0,1}(I \\otimes X)|0, -\\rangle = \\dfrac{|1, 0\\rangle - |0, 1\\rangle}{\\sqrt{2}}$$" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "balanced_X = Program(one_bit_functions)\n", "balanced_X += X(0)\n", "balanced_X += H(0)\n", "balanced_X += 'BALANCED_X 0 1'\n", "wf = qvm.wavefunction(balanced_X)\n", "plot_wf(wf)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Part IV: Deutsch's algorithm\n", "\n", "**Goal**: Determine if a one-bit function $f(x)$ is *constant* or *balanced*. We show that we can do this with only one query to the Deutsch Oracle, which is impossible on a classical computer, which would require two queries to the Deutsch Oracle to determine this global property of $f(x)$.\n", "\n", "As part of the algorithm, we are given a Deutsch Oracle and are unaware of which function $f(x)$ it implements. However, for the purposes of understanding exactly how the algorithm works, we will pick an instantiation of the oracle to use with the QVM. But, of course, the quantum speedup only makes sense if we don't know the contents of the oracle and instead treat it as a black box." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Step 0: Initial state $|10\\rangle$\n", "\n", "$$|\\psi_0\\rangle = |10\\rangle$$" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "step0 = Program(deutsch_oracles)\n", "\n", "step0 += [I(0), X(1)]\n", "wf = qvm.wavefunction(step0)\n", "\n", "# this is a product state\n", "p0 = Program()\n", "p0 += I(0)\n", "wf0 = qvm.wavefunction(p0)\n", "p1 = Program()\n", "p1 += X(1)\n", "wf1 = qvm.wavefunction(p1)\n", "\n", "plot_wf(wf, wf0, wf1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Step 1: Prepare superpositions\n", "\n", "We can't do anything interesting with computational basis states, so to take advantage of quantum parallelism we put our qubits in superposition states.\n", "\n", "$$|\\psi_1\\rangle = (H \\otimes H)|\\psi_0\\rangle = (H \\otimes H)|10\\rangle = \\left( \\dfrac{|0\\rangle - |1\\rangle}{\\sqrt{2}}\\right) \\otimes \\left( \\dfrac{|0\\rangle + |1\\rangle}{\\sqrt{2}}\\right) = |-,+\\rangle$$" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "step1 = Program(H(0), H(1))\n", "wf = qvm.wavefunction(step0 + step1)\n", "\n", "# this is a product state still\n", "p0 = Program(I(0), H(0))\n", "wf0 = qvm.wavefunction(p0)\n", "p1 = Program(X(0), H(0))\n", "wf1 = qvm.wavefunction(p1)\n", "\n", "plot_wf(wf, wf0, wf1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Step 2: Apply the Deutsch Oracle\n", "\n", "We learned earlier that the action of the Deutsch Oracle on input state $|y,x\\rangle$ is $U_f|y, x\\rangle \\rightarrow |y \\oplus f(x), x\\rangle$. So, what happens if we apply the Deutsch Oracle to the input state $|-,x\\rangle$?\n", "\n", "$$U_f|-, x\\rangle \\rightarrow |-\\rangle \\otimes (-1)^{f(x)}|x\\rangle$$\n", "\n", "We get a negative sign if $f(x) = 1$, and the state is unchanged if $f(x) = 0$. However, something interesting happens when we apply $U_f$ to the state $|-,+\\rangle$, which is our state $|\\psi_1\\rangle$:\n", "\n", "$$|\\psi_2\\rangle = U_f|\\psi_1\\rangle = U_f|-, +\\rangle = |-\\rangle \\otimes \\left( \\dfrac{(-1)^{f(0)}|0\\rangle + (-1)^{f(1)}|1\\rangle}{\\sqrt{2}}\\right) =\n", "\\begin{cases}\n", " \\pm |-\\rangle \\otimes \\left( \\dfrac{|0\\rangle + |1\\rangle}{\\sqrt{2}}\\right) = \\pm |-,+\\rangle \\text{ if constant;}\\\\\n", " \\pm |-\\rangle \\otimes \\left( \\dfrac{|0\\rangle - |1\\rangle}{\\sqrt{2}}\\right) = \\pm |-,-\\rangle \\text{ if balanced.}\n", "\\end{cases}$$\n", "\n", "If $f(x)$ is balanced, this has the effect of changing the relative phase between the $|0\\rangle$ and $|1\\rangle$ components of qubit 0's state, which flips it from $|+\\rangle$ to $|-\\rangle$. This is interesting, because the action of our oracle on the computational basis state $|y,x\\rangle$ is to change the state of qubit 1 and leave qubit 0 alone. But, when our qubits are in superposition states, the balanced oracle actually changes the state of qubit 0, and leaves the state of qubit 1 alone.\n", "\n", "Although we can work through the math without choosing an implementation of the oracle, we can't use the QVM unless we give it an actual circuit. So, we will use the Deutsch Oracle `DEFCIRCUIT`s we defined in the previous section, to see what happens next. You can comment out any of the four `step2` lines to experiment with different oracle instantations!" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "step2 = Program('DEUTSCH_BALANCED_I 0 1')\n", "# step2 = Program('DEUTSCH_BALANCED_X 0 1')\n", "# step2 = Program('DEUTSCH_CONSTANT_0 0 1')\n", "# step2 = Program('DEUTSCH_CONSTANT_1 0 1')\n", "wf = qvm.wavefunction(step0 + step1 + step2)\n", "plot_wf(wf)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Step 3: Return to 2Q computational basis states\n", "\n", "We know that the outcome of step 3 is to produce one of two superposition product states, $|-, +\\rangle$ or $|-, -\\rangle$.\n", "\n", "$$|\\psi_3\\rangle = (H \\otimes H)|\\psi_2\\rangle = \n", "\\begin{cases}\n", " \\pm (H \\otimes H)|-, +\\rangle = \\pm |10\\rangle \\text{ if constant;}\\\\\n", " \\pm (H \\otimes H)|-, -\\rangle = \\pm |11\\rangle \\text{ if balanced.}\n", "\\end{cases}$$\n", "\n", "Thus, we are in two distinct 2Q computational basis states, dependent on the nature of $f(x)$. We could then measure the state of qubit 0 one time, and we would immediately know the answer of whether $f(x)$ is constant or balanced." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "step3 = Program(H(1), H(0))\n", "wf = qvm.wavefunction(step0 + step1 + step2 + step3)\n", "plot_wf(wf)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Conclusions\n", "\n", "So, we were able to learn about a *global property* of the function $f(x)$ in just one query to the Deutsch Oracle, which is impossible on a classical computer. Although the problem statement for Deutsch's algorithm is a bit contrived, if you can suspend your judgment, you can imagine that we could take some of the non-classical concepts of this algorithm and apply them to a more complex scenario to actually produce an interesting quantum speedup. And, later in the course, you will do exactly this!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Further Questions & Support\n", "\n", "Join the Rigetti-Forest Slack workspace [here](https://join.slack.com/t/rigetti-forest/shared_invite/enQtNTUyNTE1ODg3MzE2LWExZWU5OTE4YTJhMmE2NGNjMThjOTM1MjlkYTA5ZmUxNTJlOTVmMWE0YjA3Y2M2YmQzNTZhNTBlMTYyODRjMzA) and feel free to reach out to me (@peter) with any questions!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Time to run on the QPU!\n", "\n", "If we have time left, we'll log into the Rigetti lab and try to run Deutsch's algorithm on a real quantum processor ([QPU](https://www.rigetti.com/qpu)) using our Quantum Cloud Services ([QCS](https://www.rigetti.com/qcs)) platform! Rigetti has allocated some QCS credits for this course, so for your final projects you will be able to run on the QPU as well, if you so choose." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.3" } }, "nbformat": 4, "nbformat_minor": 2 }