Entropy, Volume 22, Issue 11
2020 November - 143 articles
Cover Story: The uncertainty principle is unquestionably one of the foundational pillars of quantum mechanics, marking the indeterministic nature of the microscopic world. Following Heisenberg's seminal exposition and its standardization by Kennard and Robertson as a relation for the indeterminacy of quantum states, a variety of other formulations appeared that address the diverse manifestations of quantum uncertainty. A novel uncertainty relation for errors, which also covers the standard indeterminacy relation as a special case, is reported with a focus on general POVM measurements. The use of the relation is demonstrated in familiar two-state quantum systems, in which it is found to offer virtually the tightest lower bound possible for both the errors and the state indeterminacy regarding a pair of observables. View this paper - Issues are regarded as officially published after their release is announced to the table of contents alert mailing list .
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