Universal uncertainty principle and quantum state control under conservation laws

Details Universal uncertainty principle and quantum state control under conservation laws Universal uncertainty principle and quantum state control under conservation laws

2004-11-10

arxiv.org/abs/quant-ph/0411074v1

Proc. 7th Int. Conf. on Quantum Communication, Measurement and Computing, AIP Conference Proceedings 734, 95-98 (2004)

Physics

Quantum Physics

4 pages, to appear in the Proceedings of the Seventh International Conference on Quantum Communication, Measurement and Comput

Scientific paper

10.1063/1.1834391

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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