2004/01/01 by Masanao Ozawa · 2 citations
Computer Science · Physics and Astronomy · #Conservation law #Limit (mathematics) #Noise (video) #Noncommutative and Quantum Gravity Theories #Observable #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum decoherence #Quantum limit #Quantum state #Qubit #State (computer science) #Uncertainty principle #quant-ph
paper · pdf · doi:10.1063/1.1834391
published in AIP conference proceedings 734, 95-98 (American Institute of Physics) · 4 pages, to appear in the Proceedings of the Seventh International Conference on Quantum Communication, Measurement and Computing
openalex publication_date 2004/01/01 · arxiv created 2004/11/10 · arxiv updated 2010/04/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Heisenberg’s uncertainty principle, exemplified by the γ 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.