dorsal/arxiv
View SchemaQuantum information and special relativity
| Authors | Asher Peres, Daniel R. Terno |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0301065 |
| URL | https://arxiv.org/abs/quant-ph/0301065 |
| Journal | Int. J. Quant. Info. 1, 225 (2003) |
Abstract
Relativistic effects affect nearly all notions of quantum information theory. The vacuum behaves as a noisy channel, even if the detectors are perfect. The standard definition of a reduced density matrix fails for photon polarization because the transversality condition behaves like a superselection rule. We can however define an effective reduced density matrix which corresponds to a restricted class of positive operator-valued measures. There are no pure photon qubits, and no exactly orthogonal qubit states. Reduced density matrices for the spin of massive particles are well-defined, but are not covariant under Lorentz transformations. The spin entropy is not a relativistic scalar and has no invariant meaning. The distinguishability of quantum signals and their entanglement depend on the relative motion of observers.
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"abstract": "Relativistic effects affect nearly all notions of quantum information theory.\nThe vacuum behaves as a noisy channel, even if the detectors are perfect. The\nstandard definition of a reduced density matrix fails for photon polarization\nbecause the transversality condition behaves like a superselection rule. We can\nhowever define an effective reduced density matrix which corresponds to a\nrestricted class of positive operator-valued measures. There are no pure photon\nqubits, and no exactly orthogonal qubit states. Reduced density matrices for\nthe spin of massive particles are well-defined, but are not covariant under\nLorentz transformations. The spin entropy is not a relativistic scalar and has\nno invariant meaning. The distinguishability of quantum signals and their\nentanglement depend on the relative motion of observers.",
"arxiv_id": "quant-ph/0301065",
"authors": [
"Asher Peres",
"Daniel R. Terno"
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"journal_ref": "Int. J. Quant. Info. 1, 225 (2003)",
"title": "Quantum information and special relativity",
"url": "https://arxiv.org/abs/quant-ph/0301065"
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