Journal
PHYSICAL REVIEW A
Volume 103, Issue 6, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.103.062209
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Funding
- Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany's Excellence Strategy [EXC 2181/1-390900948, 273811115 SFB 1225 ISOQUANT, FL 736/3-1]
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Quantum uncertainty relations are formulated based on the relative entropy between distributions of measurement outcomes and reference distributions with maximum entropy. This type of entropic uncertainty relation can be applied to observables with either discrete or continuous spectra, and the sum of relative entropies is nontrivially bounded from above, as illustrated with examples.
Quantum uncertainty relations are formulated in terms of relative entropy between distributions of measurement outcomes and suitable reference distributions with maximum entropy. This type of entropic uncertainty relation can be applied directly to observables with either discrete or continuous spectra. We find that a sum of relative entropies is bounded from above in a nontrivial way, which we illustrate with some examples.
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