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Open Quantum Systems Decoherence

Data processing makes POVMs coarser and observational entropies larger

arXiv
Authors: Adam Teixidó-Bonfill

Year

2022

Paper ID

59448

Status

Preprint

Abstract Read

~2 min

Abstract Words

95

Citations

N/A

Abstract

We find a criterion to compare POVM measurements and decide which ones can extract more information from physical systems, with coarser POVMs always extracting less information. This criteria generalizes the previous definition of coarser POVM, and is motivated by the idea that information cannot be gained by processing the measurement outcomes. The information that a measurement cannot extract is quantified by observational entropy or coarse-grained entropy. Adequately, coarser measurements have larger observational entropies. Moreover, the characterization and properties of coarser measurements that we provide allow to straightforwardly derive several previously known results about observational entropy.

Why This Paper Matters

  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
  • It adds a 2022 reference point for readers tracking recent quantum research.
  • We find a criterion to compare POVM measurements and decide which ones can extract more information from physical systems, with coarser POVMs always extracting less information.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2209.04549 [2] arXiv https://arxiv.org/abs/2209.04549 [3] Publisher https://arxiv.org/abs/2209.04549

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