A tool for quantum circuit equivalence checking developed as part of the Munich Quantum Toolkit (MQT) by the Chair for Design Automation at the Technical University of Munich. It builds upon MQT Core, which forms the backbone of the MQT.

If you have any questions, feel free to contact us via quantum.cda@xcit.tum.de or by creating an issue on GitHub.

QCEC is available via PyPI for Linux, macOS, and Windows and supports Python 3.8 to 3.12.

(venv) $ pip install mqt.qcec

The following code gives an example on the usage:

from mqt import qcec

# verify the equivalence of two circuits provided as qasm files
result = qcec.verify("circ1.qasm", "circ2.qasm")

# print the result
print(result.equivalence)

Detailed documentation on all available methods, options, and input formats is available at ReadTheDocs.

The implementation is compatible with any C++17 compiler, a minimum CMake version of 3.19, and Python 3.8+. Please refer to the documentation on how to build the project.

Building (and running) is continuously tested under Linux, macOS, and Windows using the latest available system versions for GitHub Actions.

QCEC has been developed based on methods proposed in the following papers:

L. Burgholzer and R. Wille, "Advanced Equivalence Checking for Quantum Circuits," Transactions on CAD of Integrated Circuits and Systems (TCAD), 2021

L. Burgholzer, R. Raymond, and R. Wille, "Verifying Results of the IBM Qiskit Quantum Circuit Compilation Flow," in IEEE International Conference on Quantum Computing (QCE), 2020

L. Burgholzer, R. Kueng, and R. Wille, "Random Stimuli Generation for the Verification of Quantum Circuits," in Asia and South Pacific Design Automation Conference (ASP-DAC), 2021

L. Burgholzer and R. Wille, "Handling Non-Unitaries in Quantum Circuit Equivalence Checking," in Design Automation Conference (DAC), 2022

T. Peham, L. Burgholzer, and R. Wille, "Equivalence Checking of Quantum Circuits with the ZX-Calculus," in Journal of Emerging and Selected Topics in Circuits and Systems (JETCAS), 2022

T. Peham, L. Burgholzer, and R. Wille, "Equivalence Checking of Parameterized Quantum Circuits: Verifying the Compilation of Variational Quantum Algorithms," in Asia and South Pacific Design Automation Conference (ASP-DAC), 2023

The Munich Quantum Toolkit has been supported by the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation program (grant agreement No. 101001318), the Bavarian State Ministry for Science and Arts through the Distinguished Professorship Program, as well as the Munich Quantum Valley, which is supported by the Bavarian state government with funds from the Hightech Agenda Bayern Plus.