Discrete Wigner formalism for qubits and noncontextuality of Clifford gates on qubit stabilizer states

@article{Kocia2017DiscreteWF,
  title={Discrete Wigner formalism for qubits and noncontextuality of Clifford gates on qubit stabilizer states},
  author={Lucas Kocia and Peter Love},
  journal={Physical Review A},
  year={2017},
  volume={96},
  pages={062134}
}
  • Lucas Kocia, Peter Love
  • Published 2017
  • Physics
  • Physical Review A
  • We show that Clifford operations on qubit stabilizer states are non-contextual and can be represented by non-negative quasi-probability distributions associated with a Wigner-Weyl-Moyal formalism. This is accomplished by generalizing the Wigner-Weyl-Moyal formalism to three generators instead of two---producing an exterior, or Grassmann, algebra---which results in Clifford group gates for qubits that act as a permutation on the finite Weyl phase space points naturally associated with stabilizer… CONTINUE READING
    1
    Twitter Mention

    Figures and Tables from this paper.

    Citations

    Publications citing this paper.
    SHOWING 1-10 OF 10 CITATIONS

    Simulation of quantum circuits by low-rank stabilizer decompositions

    VIEW 1 EXCERPT
    CITES BACKGROUND

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 41 REFERENCES

    Multiqubit Clifford groups are unitary 3-designs

    VIEW 4 EXCERPTS
    HIGHLY INFLUENTIAL

    Contextuality Supplies the Magic for Quantum Computation

    VIEW 5 EXCERPTS
    HIGHLY INFLUENTIAL

    Negativity and contextuality are equivalent notions of nonclassicality.

    VIEW 4 EXCERPTS
    HIGHLY INFLUENTIAL

    Improved Simulation of Stabilizer Circuits

    VIEW 5 EXCERPTS
    HIGHLY INFLUENTIAL