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Open Quantum Systems Decoherence Entanglement Theory Quantum Correlations

The Relationship Between Discrete and Continuous Entropy in EPR-Steering Inequalities

arXiv
Authors: James Schneeloch

Year

2013

Paper ID

31515

Status

Preprint

Abstract Read

~2 min

Abstract Words

90

Citations

N/A

Abstract

This document expands upon the relationship between discrete and continuous entropy given in (Phys. Rev. Lett. 110 130407), \Violating Continuous Variable Einstein-Podolsky-Rosen Steering with Discrete Measurements". We provide a detailed derivation for the inequality relating the continuous conditional entropy to its discrete approximation, and show how this connection works between discrete and continuous entropic quantities in general. In addition, we use this connection to show how to derive the continuous variable Einstein-Podolsky-Rosen steering inequality with discrete measurements as seen in (Phys. Rev. Lett. 110 130407), and make an additional comment which strengthens this result.

Why This Paper Matters

  • This paper contributes to the Entanglement Theory & Quantum Correlations research area in the Quantum Articles archive.
  • It adds a 2013 reference point for readers tracking recent quantum research.
  • This document expands upon the relationship between discrete and continuous entropy given in (Phys.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1312.2604 [2] arXiv https://arxiv.org/abs/1312.2604 [3] Publisher https://arxiv.org/abs/1312.2604

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