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- W3101372222 abstract "We study fine-grained uncertainty relations for several quantum measurements in a finite-dimensional Hilbert space. The proposed approach is based on the exact calculation or estimation of the spectral norms of corresponding positive matrices. Fine-grained uncertainty relations of the state-independent form are derived for an arbitrary set of mutually unbiased bases. Such relations are extended with a recent notion of mutually unbiased measurements. The case of so-called mutually biased bases is considered in a similar manner. We also discuss a formulation of fine-grained uncertainty relations in the case of generalized measurements. The general approach is then applied to two measurements related to state discrimination. The case of three rank-one projective measurements is further examined in details. In particular, we consider fine-grained uncertainty relations for mutually unbiased bases in three-dimensional Hilbert space." @default.
- W3101372222 created "2020-11-23" @default.
- W3101372222 creator A5004803532 @default.
- W3101372222 date "2014-11-12" @default.
- W3101372222 modified "2023-09-26" @default.
- W3101372222 title "Fine-grained uncertainty relations for several quantum measurements" @default.
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- W3101372222 doi "https://doi.org/10.1007/s11128-014-0869-9" @default.
- W3101372222 hasPublicationYear "2014" @default.
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