Random access test as an identifier of nonclassicality

Teiko Heinosaari; Leevi Leppäjärvi

doi:10.1088/1751-8121/ac5b91

Random access test as an identifier of nonclassicality

Teiko Heinosaari^*, Leevi Leppäjärvi

^*Corresponding author for this work

BA6209 Quantum algorithms and software

Research output: Contribution to journal › Article › Scientific › peer-review

5 Citations (Scopus)

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Abstract

Random access codes (RACs) are an intriguing class of communication tasks that reveal an operational and quantitative difference between classical and quantum information processing. We formulate a natural generalization of RACs and call them random access tests (RATs), defined for any finite collection of measurements in an arbitrary finite dimensional general probabilistic theory. These tests can be used to examine collective properties of collections of measurements. We show that the violation of a classical bound in a RAT is a signature of either measurement incompatibility or super information storability. The polygon theories are exhaustively analysed and a critical difference between even and odd polygon theories is revealed.

Original language	English
Article number	174003
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	55
Issue number	17
DOIs	https://doi.org/10.1088/1751-8121/ac5b91
Publication status	Published - 29 Apr 2022
MoE publication type	A1 Journal article-refereed

Funding

LL acknowledges the financial support through the Stefan Schwarz stipend from Slovak Academy of Sciences, Bratislava. LL was also supported by projects APVV-18-0518 (OPTIQUTE) and VEGA 2/0183/21 (DESCOM).

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10.1088/1751-8121/ac5b91Licence: CC BY

1751-8121/ac5b91Final published version, 1.52 MBLicence: CC BY

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Random access test as an identifier of nonclassicality

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