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Quantum Measurement State Discrimination

When asymptotic LOCC offers no advantage over finite LOCC

arXiv
Authors: Honghao Fu, Debbie Leung, Laura Mancinska

Year

2013

Paper ID

2400

Status

Preprint

Abstract Read

~2 min

Abstract Words

99

Citations

N/A

Abstract

We consider bipartite LOCC, the class of operations implementable by local quantum operations and classical communication between two parties. Surprisingly, there are operations that cannot be implemented with finitely many messages but can be approximated to arbitrary precision with more and more messages. This significantly complicates the analysis of what can or cannot be approximated with LOCC. Towards alleviating this problem, we exhibit two scenarios in which allowing vanishing error does not help. The first scenario involves implementation of measurements with projective product measurement operators. The second scenario is the discrimination of unextendible product bases on two 3-dimensional systems.

Why This Paper Matters

  • This paper contributes to the Quantum Measurement & State Discrimination research area in the Quantum Articles archive.
  • It adds a 2013 reference point for readers tracking recent quantum research.
  • We consider bipartite LOCC, the class of operations implementable by local quantum operations and classical communication between two parties.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1312.5350 [2] arXiv https://arxiv.org/abs/1312.5350 [3] Publisher https://arxiv.org/abs/1312.5350

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