dorsal/arxiv
View SchemaQuantum Information and Relativity Theory
| Authors | Asher Peres, Daniel R. Terno |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0212023 |
| URL | https://arxiv.org/abs/quant-ph/0212023 |
| DOI | 10.1103/RevModPhys.76.93 |
| Journal | Rev.Mod.Phys.76:93-123,2004 |
Abstract
Quantum mechanics, information theory, and relativity theory are the basic foundations of theoretical physics. The acquisition of information from a quantum system is the interface of classical and quantum physics. Essential tools for its description are Kraus matrices and positive operator valued measures (POVMs). Special relativity imposes severe restrictions on the transfer of information between distant systems. Quantum entropy is not a Lorentz covariant concept. Lorentz transformations of reduced density matrices for entangled systems may not be completely positive maps. Quantum field theory, which is necessary for a consistent description of interactions, implies a fundamental trade-off between detector reliability and localizability. General relativity produces new, counterintuitive effects, in particular when black holes (or more generally, event horizons) are involved. Most of the current concepts in quantum information theory may then require a reassessment.
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"abstract": "Quantum mechanics, information theory, and relativity theory are the basic\nfoundations of theoretical physics. The acquisition of information from a\nquantum system is the interface of classical and quantum physics. Essential\ntools for its description are Kraus matrices and positive operator valued\nmeasures (POVMs). Special relativity imposes severe restrictions on the\ntransfer of information between distant systems. Quantum entropy is not a\nLorentz covariant concept. Lorentz transformations of reduced density matrices\nfor entangled systems may not be completely positive maps. Quantum field\ntheory, which is necessary for a consistent description of interactions,\nimplies a fundamental trade-off between detector reliability and\nlocalizability. General relativity produces new, counterintuitive effects, in\nparticular when black holes (or more generally, event horizons) are involved.\nMost of the current concepts in quantum information theory may then require a\nreassessment.",
"arxiv_id": "quant-ph/0212023",
"authors": [
"Asher Peres",
"Daniel R. Terno"
],
"categories": [
"quant-ph",
"gr-qc",
"hep-th"
],
"doi": "10.1103/RevModPhys.76.93",
"journal_ref": "Rev.Mod.Phys.76:93-123,2004",
"title": "Quantum Information and Relativity Theory",
"url": "https://arxiv.org/abs/quant-ph/0212023"
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