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Entanglement Theory Quantum Correlations

Small sets of locally indistinguishable orthogonal maximally entangled states

arXiv
Authors: Alessandro Cosentino, Vincent Russo

Year

2013

Paper ID

33739

Status

Preprint

Abstract Read

~2 min

Abstract Words

123

Citations

N/A

Abstract

We study the problem of distinguishing quantum states using local operations and classical communication (LOCC). A question of fundamental interest is whether there exist sets of k leq d orthogonal maximally entangled states in mathbb{C}dotimesmathbb{C}d that are not perfectly distinguishable by LOCC. A recent result by Yu, Duan, and Ying [Phys. Rev. Lett. 109 020506 (2012) - arXiv:1107.3224 [quant-ph]] gives an affirmative answer for the case k = d. We give, for the first time, a proof that such sets of states indeed exist even in the case k < d. Our result is constructive and holds for an even wider class of operations known as positive-partial-transpose measurements (PPT). The proof uses the characterization of the PPT-distinguishability problem as a semidefinite program.

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.
  • We study the problem of distinguishing quantum states using local operations and classical communication (LOCC).

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1307.3232 [2] arXiv https://arxiv.org/abs/1307.3232 [3] Publisher https://arxiv.org/abs/1307.3232

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