Quantum nonlocality without entanglement

@article{Bennett1998QuantumNW, title={Quantum nonlocality without entanglement}, author={Charles H. Bennett and David P. DiVincenzo and Christopher A. Fuchs and Tal Mor and Eric M. Rains and Peter W. Shor and John A. Smolin and William K. Wootters Ibm and Cal Tech and Universit́e de Montŕeal and Att and Williams}, journal={Physical Review A}, year={1998}, volume={59}, pages={1070-1091}, url={https://api.semanticscholar.org/CorpusID:15282650} }
We exhibit an orthogonal set of product states of two three-state particles that nevertheless cannot be reliably distinguished by a pair of separated observers ignorant of which of the states has been presented to them, even if the observers are allowed any sequence of local operations and classical communication between the separate observers. It is proved that there is a finite gap between the mutual information obtainable by a joint measurement on these states and a measurement in which only… 
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59 References

Entanglement purification via separable superoperators

This work uses the fact that every EPP is a separable superoperator to give a new upper bound on the rate of EPPs on Bell- diagonal states, and thus on the capacity of Bell-diagonal channels.

Optimal Quantum Measurements for Two Pure and Mixed States

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Unextendible product bases and bound entanglement

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Entanglement measures and purification procedures

It is argued that the statistical basis of the measure of entanglement determines an upper bound to the number of singlets that can be obtained by any purification procedure.

Optimal detection of quantum information.

The most efficient set of operations of that type that the authors were able to design falls short of a single combined measurement, performed on both system together.

Mixed-State Entanglement and Distillation: Is there a “Bound” Entanglement in Nature?

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Causality constraints on nonlocal quantum measurements.

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Properties of a quantum system during the time interval between two measurements.

A description of quantum systems at the time interval between two successive measurements is presented, and how this approach leads to a new concept: a weak value of an observable.

Quantum-state disturbance versus information gain: Uncertainty relations for quantum information.

The trade-off between the information gain and that disturbance in the act of observation is investigated, and the optimal detection method is explicitly found in the case of two equiprobable nonorthogonal pure states.
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