dorsal/arxiv
View SchemaQuantum Information Theory of Entanglement and Measurement
| Authors | Nicolas J. Cerf, Chris Adami |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9605039 |
| URL | https://arxiv.org/abs/quant-ph/9605039 |
| DOI | 10.1016/S0167-2789(98)00045-1 |
| Journal | Physica D120 (1998) 62-81 |
Abstract
We present a quantum information theory that allows for a consistent description of entanglement. It parallels classical (Shannon) information theory but is based entirely on density matrices (rather than probability distributions) for the description of quantum ensembles. We find that quantum conditional entropies can be negative for entangled systems, which leads to a violation of well-known bounds in Shannon information theory. Such a unified information-theoretic description of classical correlation and quantum entanglement clarifies the link between them: the latter can be viewed as ``super-correlation'' which can induce classical correlation when considering a tripartite or larger system. Furthermore, negative entropy and the associated clarification of entanglement paves the way to a natural information-theoretic description of the measurement process. This model, while unitary and causal, implies the well-known probabilistic results of conventional quantum mechanics. It also results in a simple interpretation of the Kholevo theorem limiting the accessible information in a quantum measurement.
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"abstract": "We present a quantum information theory that allows for a consistent\ndescription of entanglement. It parallels classical (Shannon) information\ntheory but is based entirely on density matrices (rather than probability\ndistributions) for the description of quantum ensembles. We find that quantum\nconditional entropies can be negative for entangled systems, which leads to a\nviolation of well-known bounds in Shannon information theory. Such a unified\ninformation-theoretic description of classical correlation and quantum\nentanglement clarifies the link between them: the latter can be viewed as\n``super-correlation\u0027\u0027 which can induce classical correlation when considering a\ntripartite or larger system. Furthermore, negative entropy and the associated\nclarification of entanglement paves the way to a natural information-theoretic\ndescription of the measurement process. This model, while unitary and causal,\nimplies the well-known probabilistic results of conventional quantum mechanics.\nIt also results in a simple interpretation of the Kholevo theorem limiting the\naccessible information in a quantum measurement.",
"arxiv_id": "quant-ph/9605039",
"authors": [
"Nicolas J. Cerf",
"Chris Adami"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/S0167-2789(98)00045-1",
"journal_ref": "Physica D120 (1998) 62-81",
"title": "Quantum Information Theory of Entanglement and Measurement",
"url": "https://arxiv.org/abs/quant-ph/9605039"
},
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