bibkey: bavarescomuraoquintino2022unitarydiscrimination
authors: Jessica Bavaresco; Mio Murao; Marco Túlio Quintino
year: 2022
title: "Unitary channel discrimination beyond group structures: Advantages of sequential and indefinite-causal-order strategies"
doi: 10.1063/5.0075919
url: https://arxiv.org/abs/2105.13369v3
claim: "The paper studies minimum-error discrimination of ensembles of unitary channels with several uses, proves that parallel strategies are optimal for uniformly distributed group ensembles, exhibits sequential and indefinite-causal-order advantages for other ensembles, and asks whether discrimination of classical permutation channels, the classical analogue of unitary channels, can also be enhanced by sequential strategies."
strata_touched:
  - D5/S3/Quantum/Information/ClassicalPermutationSequentialAdvantage
license: citation-only
triage: anchor

Bavaresco, Murao and Quintino, unitary channel discrimination beyond group structures

J. Bavaresco, M. Murao and M. T. Quintino, Journal of Mathematical Physics 63, 042203 (2022), DOI 10.1063/5.0075919; arXiv:2105.13369v3 (13 May 2022; v1 27 May 2021). Quotations are from the arXiv v3 TeX source, with cross-references written as bracketed keys.

The question, in the conclusion:

Finally, an interesting open question that could follow our work is how quantum-specific are the phenomena presented here. For instance, Ref. [harrow10] showed that adaptive strategies may outperform parallel ones in classical channel discrimination; however, their examples did not concern a classical analog of unitary channels. Assuming the analog of a unitary channel in classical information theory to be a classical channel that maps deterministic probability distributions into deterministic probability distributions, i.e., channels that can be described by a permutation matrix, it would be interesting to investigate whether their discrimination could also be enhanced by sequential strategies.

The task is minimum-error discrimination of a known ensemble with a fixed number of uses of the unknown channel, measured by the average success probability; parallel strategies use all copies at once, sequential strategies may choose later inputs adaptively.

Verified locator

DOI: https://doi.org/10.1063/5.0075919 (Journal of Mathematical Physics 63, 042203 (2022); the journal text was not compared line by line with v3).

Source: https://arxiv.org/abs/2105.13369v3

• URL: https://arxiv.org/abs/2105.13369v3 (the e-print is a gzipped tar archive; member main.tex, 2121 lines, md5 7b7f57add94cbe20dcb088bf7c16f071):
  • the question, Conclusion, l. 514.
• The author list, the journal reference and the DOI are from Crossref.