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No-local-broadcasting theorem for quantum correlations · Around

2007

No-local-broadcasting theorem for quantum correlations

Piani, Marco, Horodecki, Pawel, Horodecki, Ryszard

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We prove that the correlations present in a multipartite quantum state have an \emph{operational} quantum character as soon as the state does not simply encode a multipartite classical probability distribution, i.e.

does not describe the joint state of many classical registers.
Even unentangled states may exhibit such \emph{quantumness}, that is pointed out by the new task of \emph{local broadcasting}, i.e.
of locally sharing pre-established correlations: this task is feasible if and only if correlations are classical and derive a no-local-broadcasting theorem for quantum correlations.

Built on

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Similar

M. A. Nielsen and I. L. Chuang, “Quantum Computation and Quantum Information”, Cambridge University Press, Cambridge (2000)
2000
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H. Ollivier and W.H. Zurek, Phys. Rev. Lett. 88
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L. Henderson and V. Vedral, J. Phys. A: Math. Gen. 34
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R. Jozsa and N. Linden, Proc. R. Soc. A 459
2003
Cited alongside, same era.
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R. Horodecki, P. Horodecki, M. Horodecki and K. Horodecki, arXiv:quant-ph/0702225
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This task is related to, but different from, the standard broadcasting task barnum-broad . For recent developments concerning the latter, see barnum
Cited in the paper.
H. Barnum, J. Barrett, M. Leifer, and A. Wilce, arXiv:0707.0620
Original
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Then

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Original
2006
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