Quantum Advantage from Sequential-Transformation Contextuality - Sorbonne Université
Journal Articles Physical Review Letters Year : 2018

Quantum Advantage from Sequential-Transformation Contextuality

Abstract

We introduce a notion of contextuality for transformations in sequential contexts, distinct from the Bell-Kochen-Specker and Spekkens notions of contextuality. Within a transformation-based model for quantum computation we show that strong sequential-transformation contextuality is necessary and sufficient for deterministic computation of non-linear functions if classical components are restricted to mod2-linearity and matching constraints apply to any underlying ontology. For probabilistic computation, sequential-transformation contextuality is necessary and sufficient for advantage in this task and the degree of advantage quantifiably relates to the degree of contextuality.

Keywords

Fichier principal
Vignette du fichier
1801.08150.pdf (216.35 Ko) Télécharger le fichier
Origin Publication funded by an institution
Loading...

Dates and versions

hal-01958797 , version 1 (18-12-2018)

Identifiers

Cite

Shane Mansfield, Elham Kashefi. Quantum Advantage from Sequential-Transformation Contextuality. Physical Review Letters, 2018, 121 (23), pp.230401. ⟨10.1103/PhysRevLett.121.230401⟩. ⟨hal-01958797⟩
101 View
118 Download

Altmetric

Share

More