Qutrit ZX-calculus is Complete for Stabilizer Quantum Mechanics

@inproceedings{Wang2018QutritZI,
  title={Qutrit ZX-calculus is Complete for Stabilizer Quantum Mechanics},
  author={Q. Wang},
  year={2018}
}
  • Q. Wang
  • Published 2018
  • Physics, Mathematics
  • In this paper, we show that a qutrit version of ZX-calculus, with rules significantly different from that of the qubit version, is complete for pure qutrit stabilizer quantum mechanics, where state preparations and measurements are based on the three dimensional computational basis, and unitary operations are required to be in the generalized Clifford group. This means that any equation of diagrams that holds true under the standard interpretation in Hilbert spaces can be derived… CONTINUE READING

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    Completeness of the ZX-calculus
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    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 27 REFERENCES
    Identification of alpha-tropomyosin as a target self-antigen in Behçet's syndrome.
    67
    Spark: The Revolutionary New Science of Exercise and the Brain
    259
    Completeness and the ZX-calculus
    11
    Stabilizer states and Clifford operations for systems of arbitrary dimensions and modular arithmetic
    76
    A categorical semantics of quantum protocols
    548