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Operational Quantum Physics
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TLDR
Operational Quantum Physics as discussed by the authors offers a systematic presentation of quantum mechanics which makes exhaustive use of the full probabilistic structure of this theory and explains the notion of an observable as a positive operator valued (POV) measure.Abstract:
Operational Quantum Physics offers a systematic presentation of quantum mechanics which makes exhaustive use of the full probabilistic structure of this theory. Accordingly the notion of an observable as a positive operator valued (POV) measure is explained in great detail, and the ensuing quantum measurement theory is developed and applied both to a resolution of long-standing conceptual and interpretational puzzles in the foundations of quantum mechanics, and to an analysis of various recent fundamental experiments.The book, or different parts of it, may be of interest to advanced students or researchers in quantum physics, to philosophers of physics, and to mathematicians working in operator valued measures.read more
Citations
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Journal ArticleDOI
Quantum Information and Relativity Theory
Asher Peres,Daniel R. Terno +1 more
TL;DR: In particular, when black holes (or more generally, event horizons) are involved most of the current concepts in quantum information theory may then require a reassessment as discussed by the authors, in particular when black hole horizons are involved.
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The Geometry of Information Retrieval
TL;DR: The geometry of IR is studied through the lens of linear algebra, quantum mechanics, and vector and Hilbert spaces, with a focus on linear transformations, operators and matrices.
Journal ArticleDOI
Heisenberg's uncertainty principle
TL;DR: In this article, the authors show that the full content of the uncertainty principle also includes its positive role as a condition ensuring that mutually exclusive experimental options can be reconciled if an appropriate trade-off is accepted.
Journal ArticleDOI
Quantum state discrimination
Stephen M. Barnett,Sarah Croke +1 more
TL;DR: In this article, various strategies have been devised to discriminate optimally between non-orthogonal states and some of the optical experiments that have been performed to realize these, as a fundamental consequence of the superposition principle for quantum states.
Journal ArticleDOI
Symmetric informationally complete–positive operator valued measures and the extended Clifford group
TL;DR: In this paper, the structure of the extended Clifford group is described and the action of the Clifford group operators on symmetric informationally complete-positive operator valued measures (or SIC-POVMs) covariant relative to the actions of the generalized Pauli group is investigated.