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Open Quantum Systems Decoherence Entanglement Theory Quantum Correlations

Nonstrict inequality for Schmidt coefficients of three-qubit states

arXiv
Authors: Levon Tamaryan

Year

2013

Paper ID

32953

Status

Preprint

Abstract Read

~2 min

Abstract Words

92

Citations

N/A

Abstract

Generalized Schmidt decomposition of pure three-qubit states has four positive and one complex coefficients. In contrast to the bipartite case, they are not arbitrary and the largest Schmidt coefficient restricts severely other coefficients. We derive a nonstrict inequality between three-qubit Schmidt coefficients, where the largest coefficient defines the least upper bound for the three nondiagonal coefficients or, equivalently, the three nondiagonal coefficients together define the greatest lower bound for the largest coefficient. In addition, we show the existence of another inequality which should establish an upper bound for the remaining Schmidt coefficient.

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  • 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.
  • Generalized Schmidt decomposition of pure three-qubit states has four positive and one complex coefficients.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1309.0399 [2] arXiv https://arxiv.org/abs/1309.0399 [3] Publisher https://arxiv.org/abs/1309.0399

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