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Simple and general bounds on quantum random access codes

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arxiv 2312.14142 v3 pith:ZNAO3J5G submitted 2023-12-21 quant-ph

Simple and general bounds on quantum random access codes

classification quant-ph
keywords quantumaccessrandomcodesboundboundscasesclassical
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Random access codes are a type of communication task that is widely used in quantum information science. The optimal average success probability that can be achieved through classical strategies is known for any random access code. However, only a few cases are solved exactly for quantum random access codes. In this paper, we provide bounds for the fully general setting of n independent variables, each selected from a d-dimensional classical alphabet and encoded in a D-dimensional quantum system subject to an arbitrary quantum measurement. The bound recovers the exactly known special cases, and we demonstrate numerically that even though the bound is not tight overall, it can still yield a good approximation.

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

  1. Optimal Average Success Probabilities of Binary $(n,n-1)$ and $(n,n-2)$ Quantum Random Access Codes via a Proof of the Corresponding Conjectured Bound

    quant-ph 2026-07 accept novelty 6.5

    The optimal average success probability of binary (n,n-1) and (n,n-2) QRACs equals exactly 1/2 + 1/2 sqrt(m/n).