propaq

Fast Heisenberg-picture propagation for quantum circuit simulation, with a parallel Rust backend!

propaq features the following:

Hybrid Schrodinger-Heisenberg simulation for quantum circuits, with functionality for both Pauli and Majorana propagation.
Support for both Pauli and Majorana propagation, with integration with Qiskit and Cirq.
Support for custom, composable noise models and truncation policies, written in C, Rust, AOT Julia, or Python via a plugin ABI.
Support to define fast paths for custom unitary gates.
Logging and profiling capabilities for propagation runs, as well as lazy I/O operations for saving and loading results.
Extrapolation methods for estimating expectation values in the limit of zero noise and/or zero truncation error.
Surrogate/Symbolic propagation for computing expectation values of parameterized circuits, i.e. for variational quantum algorithms.

propaq implements the algorithms described in:

M. S. Rudolph, T. Jones, Y. Teng, A. Angrisani, and Z. Holmes, “Pauli Propagation: A Computational Framework for Simulating Quantum Systems,” May 27, 2025, arXiv: arXiv:2505.21606. doi: 10.48550/arXiv.2505.21606.

A. Miller et al., "Simulation of Fermionic circuits using Majorana Propagation," Dec. 16, 2025, arXiv: arXiv:2503.18939. doi: 10.48550/arXiv.2503.18939.

Installation

pip install propaq

Requires Python 3.10+ and a pre-built wheel for your platform (Linux x86-64, macOS, Windows).

For development, clone the repo and install with:

pip install -e .[dev]

which will install the Rust toolchain and build the Rust backend from source via maturin. You can also build the Rust backend manually with maturin develop or maturin build and then install the resulting wheel with pip install dist/propaq-*.whl.

Quick start

import numpy as np
from qiskit import QuantumCircuit
from qiskit.circuit.library import XXPlusYYGate, RZGate, SwapGate
from qiskit.quantum_info import SparsePauliOp

from propaq.circuits import MajoranaCircuit
from propaq.datatypes import MajoranaTermSum
from propaq.noise import UniformNoiseModel, TruncationPolicy
from propaq.propagators import MajoranaPropagator

# Build a random 4-qubit circuit
qc = QuantumCircuit(4)
qc.append(XXPlusYYGate(np.pi / 4, 0.0), [0, 1])
qc.append(RZGate(np.pi / 3), [2])
qc.append(SwapGate(), [2, 3])

# Observable: sum of single-site X operators
observable = SparsePauliOp.from_list([
    ("XIII", 1.0), ("IXII", 1.0), ("IIXI", 1.0), ("IIIX", 1.0)
])

# Convert to propaq types
mc = MajoranaCircuit.from_qiskit(qc, n_modes=2 * qc.num_qubits)
mts = MajoranaTermSum.from_sparse_pauli_op(observable)

# Build propagator with noise and truncation
prop = MajoranaPropagator(
    noise=UniformNoiseModel(damping=0.001),
    truncation=TruncationPolicy(weight_cutoff=10, coeff_cutoff=1e-5, truncation_range=(None, 10_000_000)),
)

# Back-propagate and evaluate
result = prop.expectation_value(mts, mc, initial_state=0)
print("Expectation value:", result.expectation_value)

For a more detailed introduction, see the example notebooks in the documentation.

Citation

If you use propaq in your research, please cite:

</code></pre>
<h2><a href="#user-content-license" aria-hidden="true" class="anchor" id="user-content-license"></a>License</h2>
<pre><code class="language-md">MIT License

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The following attestation bundles were made for propaq-0.1.2-cp310-cp310-macosx_11_0_arm64.whl:

Publisher: workflow.yml on hkbelagali/propaq

Attestations: Values shown here reflect the state when the release was signed and may no longer be current.

Statement:
- Statement type: https://in-toto.io/Statement/v1
- Predicate type: https://docs.pypi.org/attestations/publish/v1
- Subject name: propaq-0.1.2-cp310-cp310-macosx_11_0_arm64.whl
- Subject digest: dea65e210405544ca2f2be763d5ebd18e8e336ba9131028b7afd9652514a7567
- Sigstore transparency entry: 2308116507
- Sigstore integration time: Jul 31, 2026
Source repository:
- Permalink: hkbelagali/propaq@eae5f5f694c70546e901b93a33848933ee7e4a6a
- Branch / Tag: refs/tags/v0.1.2
- Owner: https://github.com/hkbelagali
- Access: public
Publication detail:
- Token Issuer: https://token.actions.githubusercontent.com
- Runner Environment: github-hosted
- Publication workflow: workflow.yml@eae5f5f694c70546e901b93a33848933ee7e4a6a
- Trigger Event: release

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0.1.5

Sep 9, 2026 9 files

0.1.4

Sep 2, 2026 9 files

0.1.3

Aug 12, 2026 9 files

This release

0.1.2 This release

Jul 31, 2026 9 files

propaq 0.1.2

propaq

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