Dense Evolution β€” NISQ quantum simulation toolkit, JAX-native

**A high-performance quantum simulation toolkit Statevector/MPS engines with compilation, noise, VQE, QEC, chemistry, and agent-native tooling.**


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Windows (.bat) · macOS / Linux (.sh)

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⚠️ macOS + dense-evolution[qiskit] users Qiskit's own `QuantumCircuit.__init__` is known to segfault the whole process on macOS/arm64 (an upstream Qiskit bug, not something Dense-Evolution can fix from its side β€” see [release v8.1.43](https://github.com/tatopenn-cell/Dense-Evolution/releases/tag/v8.1.43) for the full reproduction). `dense_evolution/interop.py` now warns (`RuntimeWarning`, once per process) the first time you touch the Qiskit bridge on `sys.platform == 'darwin'`, but it does not block β€” some Qiskit/macOS combinations may work fine. If you hit a crash, `pip install dense-evolution[pennylane]` gives the same circuit-interop functionality without constructing any Qiskit object.
**Google Colab (3 lines):** ```python !git clone https://github.com/tatopenn-cell/Dense-Evolution.git %cd Dense-Evolution !pip install -e . ``` --- ## ▍ Quick Start ```python from dense_evolution import DenseSVSimulator, QASMParser # parse any OpenQASM 2.0 / 3.0 string -- single-qubit rotations, a barrier # (a real OpenQASM synchronization marker: parsed like hardware would, no # effect on the simulated state), then an entangling layer qasm = """ OPENQASM 2.0; include "qelib1.inc"; qreg q[3]; rx(pi/3) q[0]; ry(pi/4) q[1]; h q[2]; barrier q; cx q[0], q[1]; cx q[1], q[2]; rz(pi/6) q[2]; """ parser = QASMParser() circuit = parser.parse(qasm) sim = DenseSVSimulator(n_qubits=3) sim.run_circuit_jit(circuit.to_tuples()) probs = sim.get_probabilities() sv = sim.get_statevector() # probs = [0.3201 0.3201 0.0549 0.0549 0.0183 0.0183 0.1067 0.1067] ``` **Noise:** ```python import numpy as np from dense_evolution import DenseSVSimulator, QASMParser, NoiseModel qasm = 'OPENQASM 2.0; include "qelib1.inc"; qreg q[2]; h q[0]; cx q[0],q[1];' circuit = QASMParser().parse(qasm) sim = DenseSVSimulator(n_qubits=2) sim.run_circuit_jit(circuit.to_tuples()) noisy_sv = NoiseModel.apply_to_sv(np.asarray(sim.sv), n=2, model='depolarizing', p=0.05, rng=np.random.default_rng(0)) np.abs(noisy_sv) ** 2 # [0. 0.5 0.5 0. ] ``` **VQE:** ```python import jax import jax.numpy as jnp from dense_evolution import QASMParser, circuit_to_energy_fn qasm = 'OPENQASM 2.0; include "qelib1.inc"; qreg q[1]; ry(0.0) q[0];' circuit = QASMParser().parse(qasm) energy_fn, n_params = circuit_to_energy_fn(circuit, n_qubits=1) h = jnp.array([[1.0, 0.0], [0.0, -1.0]], dtype=jnp.complex128) # Pauli Z theta = jnp.array([0.1]) grad_fn = jax.value_and_grad(energy_fn, argnums=0, has_aux=True) for _ in range(40): (energy, sv), grad = grad_fn(theta, h) theta = theta - 0.5 * grad # energy = -1.0, theta = [3.14159265] ``` **Mitigation (ZNE):** ```python import dense_evolution as de e1, e2, e3 = 1.234, 0.876, 0.611 # values at 1x, 2x, 3x noise de.zero_noise_extrapolation([e1, e2, e3], [1.0, 2.0, 3.0]) # 1.622 ``` **Dashboard (local, Streamlit):** ```bash pip install "dense-evolution[dashboard]" # JAX already included by default streamlit run tools/dashboard/app.py ``` **Anti-OOM for large circuits:** ```python from dense_evolution import Chunk, QASMParser qasm = 'OPENQASM 2.0; include "qelib1.inc"; qreg q[27]; h q[0:27];' circuit = QASMParser().parse(qasm) sim = Chunk(27) sim.run_chunk(circuit.to_tuples(), chunk_size_gates=500) ``` --- ## ▍ Key Features - **JIT-fused statevector engine.** No Kronecker-product overhead β€” stride-sliced linear kernel fusion compiled through JAX XLA, real GPU/TPU dispatch with no code change. [Simulator](https://tatopenn-cell.github.io/Dense-Evolution/api/simulator/) Β· [MPS backend](https://tatopenn-cell.github.io/Dense-Evolution/api/mps/) for low-entanglement circuits at scale. - **Anti-OOM `Chunk` engine.** Circuits too large for one array, split dynamically and sized off the real compute device's own free memory β€” with disk-backed overflow past even that ceiling. [Chunk guide](https://tatopenn-cell.github.io/Dense-Evolution/api/chunk/). - **Real noise, real mitigation.** Stochastic Kraus channels, real-device noise imported from Qiskit backends, and Zero-Noise Extrapolation, with the shot budget split optimally across noise factors and a single-qubit Bloch-vector variant that always returns a valid state, to correct for it. [Noise](https://tatopenn-cell.github.io/Dense-Evolution/api/noise/) Β· [Mitigation](https://tatopenn-cell.github.io/Dense-Evolution/api/mitigation/) Β· [what noise/mitigation/healing each mean](https://tatopenn-cell.github.io/Dense-Evolution/concepts/). - **Differentiable VQE, from scratch.** `circuit_to_energy_fn` is the same JAX-differentiable engine real molecular VQE runs on β€” real Hartree-Fock Hamiltonians, UCCSD/hardware-efficient ansΓ€tze, Adam optimization. [Autodiff](https://tatopenn-cell.github.io/Dense-Evolution/api/autodiff/). - **libcint integrals on Windows, macOS and Linux.** `pip install dense-evolution` ships libcint compiled for each system: the full two-electron tensor of ethanol in 6-31G* in 0.32 s. Open-shell molecules with UHF and ROHF (`run_uhf`, `run_cuhf`). [native_hf](https://tatopenn-cell.github.io/Dense-Evolution/api/native_hf/). - **Reversible arithmetic.** Register adders, subtraction, comparisons and modular arithmetic up to modular exponentiation, applied as exact basis permutations, and as OPENQASM 2.0 gate circuits (Cuccaro, Draper and Beauregard adders, controlled modular multiplication), up to Shor order finding with one control qubit. [Arithmetic](https://tatopenn-cell.github.io/Dense-Evolution/api/arithmetic/). - **Postselection.** Keep the branch where a qubit is found in `|0>`, `|1>`, `|Β±>` or `|Β±i>`, with its probability. [Postselection](https://tatopenn-cell.github.io/Dense-Evolution/api/postselect/). - **OpenQASM 2.0/3.0, both directions.** A real parser, plus Qiskit/PennyLane interop bridges. [QASM Parser](https://tatopenn-cell.github.io/Dense-Evolution/api/parser/) Β· [Interop](https://tatopenn-cell.github.io/Dense-Evolution/api/interop/). - **Code-agnostic QEC decoding**, Majorana/Jordan-Wigner fermion mapping, from-scratch Hartree-Fock for elements outside PennyLane's own basis set, a traversable-wormhole-inspired teleportation protocol, and real QM/MM region partitioning (ring-safe BFS, Diffuse2Seg-derived relevance propagation) β€” see the [full API reference](https://tatopenn-cell.github.io/Dense-Evolution/api/) for all of it. ## ▍ Benchmarks Measured on Windows, CPU only, 8 GB RAM β€” PennyLane's `default.qubit` allocates the full statevector; Dense Evolution's `Chunk` holds constant ~2 GB regardless of qubit count. | Qubits | Hilbert Space | PennyLane | Dense Evolution | Chunk Geometry | |:------:|:-------------:|:---------:|:----------------:|:--------------:| | 26 | 67,108,864 | βœ… 1,074 MB | βœ… 2,050 MB | 1Γ— (2²⁷) | | 28 | 268,435,456 | ❌ OOM | βœ… 2,050 MB | 2Γ— (2²⁷) | | 32 | 4,294,967,296 | ❌ OOM | βœ… 2,048 MB | 32Γ— (2²⁷) | On Google Colab (12 GB RAM), n=28 runs in ~3s end-to-end (JIT-compiled, `num_chunks=2`) β€” the multi-chunk path is fast, not just OOM-safe. Past the real RAM ceiling (`Chunk` alone raises `MemoryPressureError` cleanly rather than crashing the process), `allow_disk_overflow=True` falls back to a slower disk-backed path instead of failing β€” correctness-first, not benchmarked for speed yet. Full measured table: [docs/api/chunk.md](https://tatopenn-cell.github.io/Dense-Evolution/api/chunk/). ## ▍ Composer & MCP Server A real circuit editor (graphical or OpenQASM) running on your own machine, plus an MCP server exposing 22 tools so an agent (Claude Code, Claude Desktop, ...) can drive it directly. [Composer](https://tatopenn-cell.github.io/Dense-Evolution/composer/) Β· [MCP Server](https://tatopenn-cell.github.io/Dense-Evolution/mcp/). ## ▍ Key Resources - [Full documentation & API reference](https://tatopenn-cell.github.io/Dense-Evolution/) - [Getting Started guide](https://tatopenn-cell.github.io/Dense-Evolution/getting-started/) - [Worked examples](https://tatopenn-cell.github.io/Dense-Evolution/examples/) - [Issue Tracker](https://github.com/tatopenn-cell/Dense-Evolution/issues) --- ## ▍ Changelog πŸ“œ [Full Changelog & Releases](https://github.com/tatopenn-cell/Dense-Evolution/releases) β€” every version, latest first. --- ## ▍ License **GNU Affero General Public License v3.0 or later.** A commercial licence is available on request. Releases up to 8.3.2 were published under the Business Source License 1.1: [LICENSE-BUSL-1.1-until-8.3.2.md](LICENSE-BUSL-1.1-until-8.3.2.md) Full text: [LICENSE](LICENSE) --- ## ▍ Cite This If Dense-Evolution is useful in academic work, please cite it via the metadata in [CITATION.cff](CITATION.cff) (recognized by GitHub's own "Cite this repository" button, and by reference managers that support the [Citation File Format](https://citation-file-format.github.io/)). Archived on [Zenodo](https://zenodo.org/): - **Concept DOI** (always resolves to the latest version): [10.5281/zenodo.21855643](https://doi.org/10.5281/zenodo.21855643) - **This release (v8.2.0)**: [10.5281/zenodo.22818319](https://doi.org/10.5281/zenodo.22818319) ---
Β© 2026 Salvatore Pennacchio β€” Dense Evolution