Distinguishability of maximally entangled states
By Sibasish Ghosh, G. Kar, A. Roy, D. Sarkar. 2002
143 citations recorded by the source corpus.
In 2x2, more than two orthogonal Bell states with a single copy can never be discriminated with certainty if only local operations and classical communication (LOCC) are allowed. We show here that more than d numbers of pairwise orthogonal maximally entangled states in dxd, which are in canonical form, used by Bennett et al. [Phys. Rev. Lett. 70, 1895 (1993)], can never be discriminated with certainty by LOCC, when single copies of the states are provided. Interestingly we show here that all orthogonal maximally entangled states, which are in canonical form, can be discriminated with certainty by LOCC if and only if two copies of each of the states are provided. We provide here a conjecture regarding the highly nontrivial problem of local distinguishability of any d or fewer numbers of pairwise orthogonal maximally entangled states in dxd (in the single copy case)
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/ae2a8868f1a799073732f4b13e17edaaf9a767dd
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In Artificial Intelligence
In Atomic and Molecular Physics, and Optics
Citations in the corpus
- Distinguishing bipartitite orthogonal states using LOCC: Best and worst cases (2004, background): “proposition gives a lower bound on the maximal Schmidt coefficient, while the result ofChen andLi [3]gives anupper bound onthe number ofnonzero Schmidt coefficients. The following generalizes the work of [6] by setting λM = 1 n above. Corollary 10 No k maximally entangled states in Cn ⊗ Cn can be perfec”