Distinguishing maximally entangled states by one-way local operations and classical communication
- 21 January 2015
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 91 (1), 012329
- https://doi.org/10.1103/physreva.91.012329
Abstract
In this paper, we mainly study the local indistinguishability of mutually orthogonal bipartite maximally entangled states. We construct sets of fewer than orthogonal maximally entangled states which are not distinguished by one-way local operations and classical communication (LOCC) in the Hilbert space of . The proof, based on the Fourier transform of an additive group, is very simple but quite effective. Simultaneously, our results give a general unified upper bound for the minimum number of one-way LOCC indistinguishable maximally entangled states. This improves previous results which only showed sets of such states. Finally, our results also show that previous conjectures in Zhang et al. [Z.-C. Zhang, Q.-Y. Wen, F. Gao, G.-J. Tian, and T.-Q. Cao, Quant. Info. Proc. 13, 795 (2014)] are indeed correct.
Keywords
Funding Information
- National Natural Science Foundation of China (11471178, 61300181, 61272057, 61202434, 61170270, 61100203, 61121061)
- Natural Science Foundation of Beijing Municipality (4122054)
- Tsinghua National Laboratory for Information Science and Technology
This publication has 27 references indexed in Scilit:
- LOCC distinguishability of unilaterally transformable quantum statesNew Journal of Physics, 2011
- Superadditivity of communication capacity using entangled inputsNature Physics, 2009
- Separable operations on pure statesPhysical Review A, 2008
- Distinguishing bipartite states by local operations and classical communicationPhysical Review A, 2007
- Local copying and local discrimination as a study for nonlocality of a set of statesPhysical Review A, 2006
- Distinguishability of maximally entangled statesPhysical Review A, 2004
- Distinguishing the elements of a full product basis set needs only projective measurements and classical communicationPhysical Review A, 2004
- Distinguishability and Indistinguishability by Local Operations and Classical CommunicationPhysical Review Letters, 2004
- Local Indistinguishability: More Nonlocality with Less EntanglementPhysical Review Letters, 2003
- Distinguishability of Bell StatesPhysical Review Letters, 2001