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Published May 2017 | Published + Submitted
Journal Article Open

Contextuality and Wigner-function negativity in qubit quantum computation

Abstract

We describe schemes of quantum computation with magic states on qubits for which contextuality and negativity of the Wigner function are necessary resources possessed by the magic states. These schemes satisfy a constraint. Namely, the non-negativity of Wigner functions must be preserved under all available measurement operations. Furthermore, we identify stringent consistency conditions on such computational schemes, revealing the general structure by which negativity of Wigner functions, hardness of classical simulation of the computation, and contextuality are connected.

Additional Information

© 2017 American Physical Society. Received 16 November 2016; published 17 May 2017. R.R. thanks Terry Rudolph and the Horodecki family for discussion. This work has been funded by NSERC (N.D., C.O., and R.R.), SIQS (J.B.V.), AQuS (J.B.V.), Cifar (N.D. and R.R.), and IARPA (R.R.). R.R. acknowledges support from a fellowship from the Cifar (Canadian Institute for Advanced Research) Quantum Information Program.

Attached Files

Published - PhysRevA.95.052334.pdf

Submitted - 1511.08506v1.pdf

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August 19, 2023
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