dorsal/arxiv
View SchemaUniversal uncertainty principle and quantum state control under conservation laws
| Authors | Masanao Ozawa |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0411074 |
| URL | https://arxiv.org/abs/quant-ph/0411074 |
| DOI | 10.1063/1.1834391 |
| Journal | Proc. 7th Int. Conf. on Quantum Communication, Measurement and Computing, AIP Conference Proceedings 734, 95-98 (2004) |
Abstract
Heisenberg's uncertainty principle, exemplified by the gamma ray thought experiment, suggests that any finite precision measurement disturbs any observables noncommuting with the measured observable. Here, it is shown that this statement contradicts the limit of the accuracy of measurements under conservation laws originally found by Wigner in 1950s, and should be modified to correctly derive the unavoidable noise caused by the conservation law induced decoherence. The obtained accuracy limit leads to an interesting conclusion that a widely accepted, but rather naive, physical encoding of qubits for quantum computing suffers significantly from the decoherence induced by the angular momentum conservation law.
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"abstract": "Heisenberg\u0027s uncertainty principle, exemplified by the gamma ray thought\nexperiment, suggests that any finite precision measurement disturbs any\nobservables noncommuting with the measured observable. Here, it is shown that\nthis statement contradicts the limit of the accuracy of measurements under\nconservation laws originally found by Wigner in 1950s, and should be modified\nto correctly derive the unavoidable noise caused by the conservation law\ninduced decoherence. The obtained accuracy limit leads to an interesting\nconclusion that a widely accepted, but rather naive, physical encoding of\nqubits for quantum computing suffers significantly from the decoherence induced\nby the angular momentum conservation law.",
"arxiv_id": "quant-ph/0411074",
"authors": [
"Masanao Ozawa"
],
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"quant-ph"
],
"doi": "10.1063/1.1834391",
"journal_ref": "Proc. 7th Int. Conf. on Quantum Communication, Measurement and\n Computing, AIP Conference Proceedings 734, 95-98 (2004)",
"title": "Universal uncertainty principle and quantum state control under conservation laws",
"url": "https://arxiv.org/abs/quant-ph/0411074"
},
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