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graphix is a library to optimize and simulate measurement-based quantum computing (MBQC).

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Graphix is a measurement-based quantum computing (MBQC) software package, featuring

  • the measurement calculus framework with integrated graphical rewrite rules for Pauli measurement preprocessing
  • circuit-to-pattern transpiler, graph-based deterministic pattern generator and manual pattern generation
  • flow- and gflow-based graph visualization tools
  • statevector and tensornetwork pattern simulation backends
  • QPU interface and fusion network extraction tool

Installation

Install graphix with pip:

$ pip install graphix

Install together with device interface:

$ pip install graphix[extra]

this will install graphix and inteface for IBMQ and Perceval to run MBQC patterns on superconducting and optical QPUs and their simulators.

Using graphix

generating pattern from a circuit

from graphix import Circuit
circuit = Circuit(4)
circuit.h(0)
...
pattern = circuit.transpile()
pattern.draw_graph()
logo

note: this graph is generated from QAOA circuit, see our example code. Arrows indicate the causal flow of MBQC and dashed lines are the other edges of the graph. the vertical dashed partitions and the labels 'l:n' below indicate the execution layers or the order in the graph (measurements should happen from left to right, and nodes in the same layer can be measured simultaneously), based on the partial order associated with the (maximally-delayed) flow.

preprocessing Pauli measurements

pattern.perform_pauli_measurements()
pattern.draw_graph()
logo

(here, the graph has generalized flow.)

simulating the pattern

state_out = pattern.simulate_pattern(backend='statevector')

and more..

  • See demos showing other features of graphix.

  • You can try demos on browser with mybinder.org: Binder

  • Read the tutorial for more usage guides.

  • For theoretical background, read our quick introduction into MBQC and LC-MBQC.

  • Full API docs is here.

Citing

Shinichi Sunami and Masato Fukushima, Graphix. (2023) https://doi.org/10.5281/zenodo.7861382

Update on the arXiv paper: 1

Contributing

We use GitHub issues for tracking feature requests and bugs reports.

Discord Server

Please visit Unitary Fund's Discord server, where you can find a channel for graphix to ask questions.

Core Contributors

Dr. Shinichi Sunami (University of Oxford)

Masato Fukushima (University of Tokyo, Fixstars Amplify)

Acknowledgements

We are proud to be supported by unitary fund microgrant program.

unitary-fund

Special thanks to Fixstars Amplify:

amplify

License

Apache License 2.0

Footnotes

  1. Following the release of this arXiv preprint, we were made aware of Backens et al. and related work, where graph-theoretic simplification (Pauli measurement elimination) of patterns were shown. Many thanks for letting us know about this work - at the time of the writing we were not aware of these important relevant works but will certainly properly mention in the new version; we are working on significant restructuring and rewriting of the paper and hope to update the paper soon.

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