期刊
PHYSICAL REVIEW A
卷 85, 期 4, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.85.042115
关键词
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资金
- CNPq
- FAPERJ
- Polish Ministry of Science and Higher Education [N N202 174039]
We derive two quantum uncertainty relations for position and momentum coarse-grained measurements. Building on previous results, we first improve the lower bound for uncertainty relations using the Renyi entropy, particularly in the case of coarse-grained measurements. We then sharpen a Heisenberg-like uncertainty relation derived previously in [Europhys. Lett. 97, 38003 (2012)] that uses variances and reduces to the usual one in the case of infinite precision measurements. Our sharpened uncertainty relation is meaningful for any amount of coarse graining. That is, there is always a nontrivial uncertainty relation for coarse-grained measurement of the noncommuting observables, even in the limit of extremely large coarse graining.
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