Bipartite subspaces having no LOCC-distinguishable bases
@inproceedings{Watrous2005BipartiteSH, title={Bipartite subspaces having no LOCC-distinguishable bases}, author={John Watrous}, year={2005} }
It is proved that there exist subspaces of bipartite tensor product spaces that have no or-thonormal bases that can be perfectly distinguished by means of LOCC protocols. A corollary of this fact is that there exist quantum channels having sub-optimal classical capacity even when the receiver may communicate classically with a third party that represents the channel's environment.
9 Citations
Reliably distinguishing states in qutrit channels using one-way LOCC
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We present numerical evidence showing that any three-dimensional subspace of C^3 \otimes C^n has an orthonormal basis which can be reliably distinguished using one-way LOCC, where a measurement is…
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- Physics
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In the case of a multi-party system, through local operations and classical communication (LOCC), each party may not perform perfect discrimination of quantum states that are separable and…
Using entanglement more efficiently in distinguishing orthogonal product states by LOCC
- PhysicsQuantum Inf. Process.
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This paper presents a method to locally distinguish a set of \(2n-1\) orthogonal product states in a \(m \otimes n\) bipartite system with an ancillary two-qubit maximally entangled state, and generalize the discrimination method to Orthogonal Product states in even-partite system.
Quantum nonlocality without entanglement depending on nonzero prior probabilities in optimal unambiguous discrimination
- PhysicsScientific reports
- 2021
It is shown that even in optimal unambiguous discrimination, the occurrence of NLWE can depend on nonzero prior probabilities, and the results provide new insights into classifying sets of multipartite quantum states in terms of quantum state discrimination.
Nonlocality of tripartite orthogonal product states
- MathematicsQuantum Inf. Process.
- 2021
It is proved that a three-qubit GHZ state is sufficient as a resource to distinguish each of the above classes of states.
Strong quantum nonlocality for multipartite entangled states
- PhysicsQuantum Inf. Process.
- 2021
A general definition of strong quantum nonlocality based on the local indistinguishability is presented and it is shown that a set of orthogonal entangled states is locally reducible but locally indistinguishable in all bipartitions, which means the states have strong nonLocality.
Quantum entanglement as a resource to locally distinguish orthogonal product states
- Quantum Information Processing
- 2021
Local Discrimination of Orthogonal Product States with a Two-Qubit Maximally Entangled State
- Physics
- 2021
Locally distinguishing multipartite orthogonal product states with different entanglement resource
- Computer ScienceQuantum Inf. Process.
- 2021
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