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A paradigm for entanglement theory based on quantum communication · Around

2008

A paradigm for entanglement theory based on quantum communication

Oppenheim, Jonathan

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Here it is shown that the squashed entanglement has an operational meaning -- it is the fastest rate at which a quantum state can be sent between two parties who share arbitrary side-information.

Likewise, the entanglement of formation and entanglement cost is shown to be the fastest rate at which a quantum state can be sent when the parties have access to side-information which is maximally correlated.
A further restriction on the type of side-information implies that the rate of state transmission is given by the quantum mutual information.
This suggests a new paradigm for understanding entanglement and other correlations.

Built on

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D. P. DiVincenzo, C. A. Fuchs, H. Mabuchi, J. A. Smolin, A. T. (UCSB), and A. Uhlmann, in Proceedings of the 1st NASA International Conference on Quantum Computing and Quantum Communication (1998), quant-ph/9803033
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U. Maurer and S. Wolf, IEEE Transactions on Information Theory 45
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G. Vidal, J. Mod. Opt. 47
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Similar

M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press,Cambridge, 2000)
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M. Horodecki, J. Oppenheim, and A. Winter, Nature 436
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M. Christandl and A. Winter, eprint quant-ph/0308088
Cited in the paper.
R. Tucci, eprint quant-ph/0202144
Cited in the paper.
J. Oppenheim, unpublished
Cited in the paper.

Then

J. Smolin, F. Verstraete, and A. Winter, Phys. Rev. A 72
2005
Later among the works it cites.
A. Abeyesinghe, I. Devetak, P. Hayden, and A. Winter, ArXiv Quantum Physics e-prints (2006), eprint quant-ph/0606225
2006
Later among the works it cites.
I. Devetak and J. Yard (2006), eprint quant-ph/0612050
2006
Later among the works it cites.
J. Oppenheim (2007)
2007
Later among the works it cites.

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