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- W2802851479 abstract "We present a systematic procedure to obtain all necessary and sufficient (quantum) constraints on the expectation values for any set of qudit's operators. These constraints---arise form Hermiticity, normalization, and positivity of a statistical operator and through Born's rule---analytically define an allowed region. A point outside the admissible region does not correspond to any quantum state, whereas every point in it come from a quantum state. For a set of observables, the allowed region is a compact and convex set in a real space, and all its extreme points come from pure quantum states. By defining appropriate concave functions on the permitted region and then finding their absolute minimum at the extreme points, we obtain different tight uncertainty relations for qubit's and spin observables. In addition, quantum constraints are explicitly given for the Weyl operators and the spin observables." @default.
- W2802851479 created "2018-05-17" @default.
- W2802851479 creator A5058412960 @default.
- W2802851479 date "2017-06-28" @default.
- W2802851479 modified "2023-09-27" @default.
- W2802851479 title "Deriving quantum constraints and tight uncertainty relations" @default.
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