Almost every set of $N\ge d+1$ orthogonal states on $d^{\otimes n}$ is locally indistinguishable

Scott M. Cohen

doi:10.1103/physreva.77.060309

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arXiv · 0801.3993

Almost every set of $N\ge d+1$ orthogonal states on $d^{\otimes n}$ is locally indistinguishable

Scott M. Cohen

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Abstract

I consider the problem of deterministically distinguishing the state of a multipartite system, from a set of $N\ge d+1$ orthogonal states, where $d$ is the dimension of each party's subsystem. It is shown that if the set of orthogonal states is chosen at random, then there is a vanishing probability that this set will be perfectly distinguishable under the restriction that the parties use only local operations on their subsystems and classical communication amongst themselves.

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Scott M. Cohen. 2008-01-25. Almost every set of $N\ge d+1$ orthogonal states on $d^{\otimes n}$ is locally indistinguishable. https://doi.org/10.1103/physreva.77.060309

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