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PreprintCC BY 4.0arXiv

Contextuality in Sequential State Discrimination

  • Nyan Raess
  • Farid Shahandeh
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Abstract

Generalized contextuality is known to be required in optimal strategies for quantum state discrimination protocols. More recently, sequential discrimination tasks have been studied; n players attempt to determine in which state a qubit was prepared, in such a way that they all have a finite probability of success. We consider the extent to which contextuality plays a role in sequential versions of both unambiguous and minimum error discrimination. In the standard nonsequential case where n = 1, we use the COPE formalism to demonstrate that the presence of contextuality is guaranteed not only for the optimal measurement, but for a specific set of nonoptimal measurements as well. In the sequential case n > 1, we show that the presence of contextuality depends on which states are prepared, and on the protocol (unambiguous or minimum error) selected.

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Cite

BibTeXRIS
BibTeX
@misc{raess2026contextuality,
  title = {{Contextuality in Sequential State Discrimination}},
  author = {Nyan Raess and Farid Shahandeh},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2608.04099},
  eprint = {2608.04099},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.04099},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Contextuality in Sequential State Discrimination
AU  - Nyan Raess
AU  - Farid Shahandeh
PY  - 2026
DA  - 2026/10/13
PB  - arXiv
DO  - 10.48550/arxiv.2608.04099
UR  - https://arxiv.org/abs/2608.04099
AB  - Generalized contextuality is known to be required in optimal strategies for quantum state discrimination protocols. More recently, sequential discrimination tasks have been studied; n players attempt to determine in which state a qubit was prepared, in such a way that they all have a finite probability of success. We consider the extent to which contextuality plays a role in sequential versions of both unambiguous and minimum error discrimination. In the standard nonsequential case where n = 1, we use the COPE formalism to demonstrate that the presence of contextuality is guaranteed not only for the optimal measurement, but for a specific set of nonoptimal measurements as well. In the sequential case n > 1, we show that the presence of contextuality depends on which states are prepared, and on the protocol (unambiguous or minimum error) selected.
ER  -