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On the quantum, classical and total amount of correlations in a quantum
state
Berry Groisman, Sandu Popescu, Andreas Winter
abstract: We give an operational definition of the quantum, classical and total amount
of correlations in a bipartite quantum state. We argue that these quantities
can be defined via the amount of work (noise) that is required to erase
(destroy) the correlations: for the total correlation, we have to erase
completely, for the quantum correlation one has to erase until a separable
state is obtained, and the classical correlation is the maximal correlation
left after erasing the quantum correlations.
In particular, we show that the total amount of correlations is equal to the
quantum mutual information, thus providing it with a direct operational
interpretation for the first time. As a byproduct, we obtain a direct,
operational and elementary proof of strong subadditivity of quantum entropy.
- oai_identifier:
- oai:arXiv.org:quant-ph/0410091
- categories:
- quant-ph
- comments:
- 12 pages ReVTeX4, 2 eps figures. v2 has some arguments clarified and
references updated
- doi:
- 10.1103/PhysRevA.72.032317
- arxiv_id:
- quant-ph/0410091
- journal_ref:
- Phys Rev A, vol 72, 032317 (2005).
- created:
- 2004-10-12
- updated:
- 2005-02-01
Full article ▸
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