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Quantum State Process Tomography

Invariants for maximally entangled vectors and unitary bases

arXiv

Authors: Sibasish Ghosh, Ajit Iqbal Singh

Year

2013

Paper ID

2225

Status

Preprint

Abstract Read

~2 min

Abstract Words

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Abstract

The purpose of this paper is to study the equivalence relation on unitary bases defined by R. F. Werner \[{\it J. Phys. A: Math. Gen.} {\bf 34} (2001) 7081\], relate it to local operations on maximally entangled vectors bases, find an invariant for equivalence classes in terms of certain commuting systems, and, relate it to mutually unbiased bases and Hadamard matrices. Illustrations are given in the context of latin squares and projective representations as well. Applications to quantum tomography are indicated.

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The purpose of this paper is to study the equivalence relation on unitary bases defined by R.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1401.0099 [2] arXiv https://arxiv.org/abs/1401.0099 [3] Publisher https://arxiv.org/abs/1401.0099

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