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Quantum measurement

Busch, Paul.

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Quantum measurement

Record Type:	Electronic resources : Monograph/item
Title/Author:	Quantum measurement/ by Paul Busch ... [et al.].
other author:	Busch, Paul.
Published:	Cham :Springer International Publishing : : 2016.,
Description:	xii, 542 p. :ill., digital ;24 cm.
[NT 15003449]:	Introduction -- Part I Mathematics -- Rudiments of Hilbert Space Theory -- Classes of Compact Operators -- Operator Integrals and Spectral Representations: the Bounded Case -- Operator Integrals and Spectral Representations: the Unbounded Case -- Miscellaneous Algebraic and Functional Analytic Techniques -- Dilation Theory -- Positive Operator Measures: Examples -- Part II Elements -- States, Effects and Observables -- Measurement -- Joint Measurability -- Preparation Uncertainty -- Measurement Uncertainty -- Part III Realisations -- Qubits -- Position and Momentum -- Number and Phase -- Time and Energy -- State Reconstruction -- Measurement Implementations -- Part IV Foundations -- Bell Inequalities and Incompatibility -- Measurement Limitations due to Conservation Laws -- Measurement Problem -- Axioms for Quantum Mechanics -- Index.
Contained By:	Springer eBooks
Subject:	Physical measurements. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-43389-9
ISBN:	9783319433899

Quantum measurement
Quantum measurement[electronic resource] /by Paul Busch ... [et al.]. - Cham :Springer International Publishing :2016. - xii, 542 p. :ill., digital ;24 cm. - Theoretical and mathematical physics,1864-5879. - Theoretical and mathematical physics..

Introduction -- Part I Mathematics -- Rudiments of Hilbert Space Theory -- Classes of Compact Operators -- Operator Integrals and Spectral Representations: the Bounded Case -- Operator Integrals and Spectral Representations: the Unbounded Case -- Miscellaneous Algebraic and Functional Analytic Techniques -- Dilation Theory -- Positive Operator Measures: Examples -- Part II Elements -- States, Effects and Observables -- Measurement -- Joint Measurability -- Preparation Uncertainty -- Measurement Uncertainty -- Part III Realisations -- Qubits -- Position and Momentum -- Number and Phase -- Time and Energy -- State Reconstruction -- Measurement Implementations -- Part IV Foundations -- Bell Inequalities and Incompatibility -- Measurement Limitations due to Conservation Laws -- Measurement Problem -- Axioms for Quantum Mechanics -- Index.

This is a book about the Hilbert space formulation of quantum mechanics and its measurement theory. It contains a synopsis of what became of the Mathematical Foundations of Quantum Mechanics since von Neumann's classic treatise with this title. Fundamental non-classical features of quantum mechanics--indeterminacy and incompatibility of observables, unavoidable measurement disturbance, entanglement, nonlocality--are explicated and analysed using the tools of operational quantum theory. The book is divided into four parts: 1. Mathematics provides a systematic exposition of the Hilbert space and operator theoretic tools and relevant measure and integration theory leading to the Naimark and Stinespring dilation theorems; 2. Elements develops the basic concepts of quantum mechanics and measurement theory with a focus on the notion of approximate joint measurability; 3. Realisations offers in-depth studies of the fundamental observables of quantum mechanics and some of their measurement implementations; and 4. Foundations discusses a selection of foundational topics (quantum-classical contrast, Bell nonlocality, measurement limitations, measurement problem, operational axioms) from a measurement theoretic perspective. The book is addressed to physicists, mathematicians and philosophers of physics with an interest in the mathematical and conceptual foundations of quantum physics, specifically from the perspective of measurement theory.

ISBN: 9783319433899

Standard No.: 10.1007/978-3-319-43389-9doiSubjects--Topical Terms:

540265
Physical measurements.

LC Class. No.: QC39

Dewey Class. No.: 530.8

Quantum measurement
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245 0 0 $a Quantum measurement $h [electronic resource] / $c by Paul Busch ... [et al.].
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2016.
300 $a xii, 542 p. : $b ill., digital ; $c 24 cm.
490 1 $a Theoretical and mathematical physics, $x 1864-5879
505 0 $a Introduction -- Part I Mathematics -- Rudiments of Hilbert Space Theory -- Classes of Compact Operators -- Operator Integrals and Spectral Representations: the Bounded Case -- Operator Integrals and Spectral Representations: the Unbounded Case -- Miscellaneous Algebraic and Functional Analytic Techniques -- Dilation Theory -- Positive Operator Measures: Examples -- Part II Elements -- States, Effects and Observables -- Measurement -- Joint Measurability -- Preparation Uncertainty -- Measurement Uncertainty -- Part III Realisations -- Qubits -- Position and Momentum -- Number and Phase -- Time and Energy -- State Reconstruction -- Measurement Implementations -- Part IV Foundations -- Bell Inequalities and Incompatibility -- Measurement Limitations due to Conservation Laws -- Measurement Problem -- Axioms for Quantum Mechanics -- Index.
520 $a This is a book about the Hilbert space formulation of quantum mechanics and its measurement theory. It contains a synopsis of what became of the Mathematical Foundations of Quantum Mechanics since von Neumann's classic treatise with this title. Fundamental non-classical features of quantum mechanics--indeterminacy and incompatibility of observables, unavoidable measurement disturbance, entanglement, nonlocality--are explicated and analysed using the tools of operational quantum theory. The book is divided into four parts: 1. Mathematics provides a systematic exposition of the Hilbert space and operator theoretic tools and relevant measure and integration theory leading to the Naimark and Stinespring dilation theorems; 2. Elements develops the basic concepts of quantum mechanics and measurement theory with a focus on the notion of approximate joint measurability; 3. Realisations offers in-depth studies of the fundamental observables of quantum mechanics and some of their measurement implementations; and 4. Foundations discusses a selection of foundational topics (quantum-classical contrast, Bell nonlocality, measurement limitations, measurement problem, operational axioms) from a measurement theoretic perspective. The book is addressed to physicists, mathematicians and philosophers of physics with an interest in the mathematical and conceptual foundations of quantum physics, specifically from the perspective of measurement theory.
650 0 $a Physical measurements. $3 540265
650 0 $a Quantum theory. $3 516552
650 1 4 $a Physics. $3 516296
650 2 4 $a Quantum Physics. $3 893952
650 2 4 $a History and Philosophical Foundations of Physics. $3 1066881
650 2 4 $a Mathematical Physics. $3 1542352
650 2 4 $a Quantum Information Technology, Spintronics. $3 1067172
650 2 4 $a Functional Analysis. $3 893943
700 1 $a Busch, Paul. $3 2210497
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Theoretical and mathematical physics. $3 1566264
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-43389-9
950 $a Physics and Astronomy (Springer-11651)