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Trapped Ion Quantum Computing

Data Processing Inequality for The Quantum Guesswork

arXiv
Authors: Ilyass Mejdoub, Julien Béguinot, Olivier Rioul

Year

2024

Paper ID

65096

Status

Preprint

Abstract Read

~2 min

Abstract Words

104

Citations

N/A

Abstract

Non-orthogonal quantum states pose a fundamental challenge in quantum information processing, as they cannot be distinguished with absolute certainty. Conventionally, the focus has been on minimizing error probability in quantum state discrimination tasks. However, another criterion known as quantum guesswork has emerged as a crucial measure in assessing the distinguishability of non-orthogonal quantum states, when we are allowed to query a sequence of states. In this paper, we generalize well known properties in the classical setting that are relevant for the guessing problem. Specifically, we establish the pre and post Data Processing Inequalities. We also derive a more refined lower bound on quantum guesswork.

Why This Paper Matters

  • This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
  • It adds a 2024 reference point for readers tracking recent quantum research.
  • Non-orthogonal quantum states pose a fundamental challenge in quantum information processing, as they cannot be distinguished with absolute certainty.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2407.16012 [2] arXiv https://arxiv.org/abs/2407.16012 [3] Publisher https://arxiv.org/abs/2407.16012

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