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arxiv 1610.08529 v3 pith:AUAX6XWW submitted 2016-10-26 quant-ph

Contextuality as a resource for models of quantum computation on qubits

classification quant-ph
keywords quantumcomputationcontextualityqubitsresourcemagicstatesbeen
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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A central question in quantum computation is to identify the resources that are responsible for quantum speed-up. Quantum contextuality has been recently shown to be a resource for quantum computation with magic states for odd-prime dimensional qudits and two-dimensional systems with real wavefunctions. The phenomenon of state-independent contextuality poses a priori an obstruction to characterizing the case of regular qubits, the fundamental building block of quantum computation. Here, we establish contextuality of magic states as a necessary resource for a large class of quantum computation schemes on qubits. We illustrate our result with a concrete scheme related to measurement-based quantum computation.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Contextuality as a Diagnostic of Translation-Symmetry Breaking in Translation-Invariant 1D Hamiltonians

    quant-ph 2026-06 unverdicted novelty 7.0

    Contextuality witnesses detect translation symmetry breaking in 1D TI Hamiltonians, with maximal violation at p-periodic ground states, reducible to finite periodic rings with matching bounds.