Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 55, Issue 17, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1751-8121/ac5b91
Keywords
random access code; quantum measurement; incompatibility; joint measurement; general probabilistic theory
Categories
Funding
- Slovak Academy of Sciences, Bratislava
- OPTIQUTE [APVV-18-0518]
- DESCOM [VEGA 2/0183/21]
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Random Access Tests (RATs) are a natural generalization of Random Access Codes (RACs) and are defined for any finite collection of measurements in an arbitrary finite dimensional general probabilistic theory. RATs can be used to examine collective properties of collections of measurements, and the violation of a classical bound in a RAT is a signature of either measurement incompatibility or super information storability.
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.
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