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arXiv · 2102.07400

Simple criterion for local distinguishability of generalized Bell states in prime dimension

T. Hashimoto·M. Horibe·A. Hayashi
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Abstract

Local distinguishability of sets of generalized Bell states (GBSs) is investigated. We first clarify the conditions such that a set of GBSs can be locally transformed to a certain type of GBS set that is easily distinguishable within local operations and one-way classical communication. We then show that, if the space dimension $d$ is a prime, these conditions are necessary and sufficient for sets of $d$ GBSs in $\mathbb{C}^d \otimes \mathbb{C}^d$ to be locally distinguishable. Thus we obtain a simple computable criterion for local distinguishability of sets of $d$ GBSs in prime dimension $d$.

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T. Hashimoto, M. Horibe, A. Hayashi. 2021-02-15. Simple criterion for local distinguishability of generalized Bell states in prime dimension. https://doi.org/10.1103/physreva.103.052429

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