The cohomological and the resource-theoretic perspective on quantum contextuality: Common ground through the contextual fraction

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  • University of British Columbia
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OriginalspracheEnglisch
Seiten (von - bis)1272-1294
Seitenumfang23
FachzeitschriftQuantum Information and Computation
Jahrgang18
Ausgabenummer15-16
PublikationsstatusVeröffentlicht - Dez. 2018
Extern publiziertJa

Abstract

We unify the resource-theoretic and the cohomological perspective on quantum contextuality. At the center of this unification stands the notion of the contextual fraction. For both symmetry and parity based contextuality proofs, we establish cohomological invariants which are witnesses of state-dependent contextuality. We provide two results invoking the contextual fraction, namely (i) refinements of logical contextuality inequalities, and (ii) upper bounds on the classical cost of Boolean function evaluation, given the contextual fraction of the corresponding measurement-based quantum computation.

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The cohomological and the resource-theoretic perspective on quantum contextuality: Common ground through the contextual fraction. / Okay, Cihan; Tyhurst, Emily; Raussendorf, Robert.
in: Quantum Information and Computation, Jahrgang 18, Nr. 15-16, 12.2018, S. 1272-1294.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Okay, C, Tyhurst, E & Raussendorf, R 2018, 'The cohomological and the resource-theoretic perspective on quantum contextuality: Common ground through the contextual fraction', Quantum Information and Computation, Jg. 18, Nr. 15-16, S. 1272-1294.
Okay, Cihan ; Tyhurst, Emily ; Raussendorf, Robert. / The cohomological and the resource-theoretic perspective on quantum contextuality : Common ground through the contextual fraction. in: Quantum Information and Computation. 2018 ; Jahrgang 18, Nr. 15-16. S. 1272-1294.
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T2 - Common ground through the contextual fraction

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AU - Tyhurst, Emily

AU - Raussendorf, Robert

N1 - Funding Information: This work is funded by NSERC (CO, RR), the Stewart Blusson Quantum Matter Institute (CO), and Cifar (RR).

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KW - Cohomology

KW - Contextuality

KW - Measurement-based quantum computation

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