Simple criterion for local distinguishability of generalized Bell states in prime dimension
| Autor: | M. Horibe, Akihisa Hayashi, Takaaki Hashimoto |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Physics
Quantum Physics Bell state Space dimension Dimension (graph theory) FOS: Physical sciences Type (model theory) 01 natural sciences Prime (order theory) 010305 fluids & plasmas Combinatorics Set (abstract data type) Simple (abstract algebra) 0103 physical sciences Quantum Physics (quant-ph) 010306 general physics |
| Zdroj: | Physical Review A. 103 |
| ISSN: | 2469-9934 2469-9926 |
| DOI: | 10.1103/physreva.103.052429 |
| Popis: | 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 $d$. 6 pages, presentation improved, final version |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|