arXiv:quant-ph/0404153

Information Systems Self-description and Quantum Measurement Problem

Sergey Nikolaevich Mayburov

Published Apr 27, 2004• 0 citations

Abstract

Information-Theoretical restrictions on the systems self-descriptions are applied to Quantum Measurements Theory. For the quantum object S measurement by information system O such restrictions are described by the restricted states formalism by Breuer. The analogous restrictions obtained in Algebraic QM from the analysis of Segal algebra U of O observables; O restricted states set is defined as U dual space. From Segal theorem for the associative subalgebra it's shown that such states describe the random pointer outcomes observed by O in the individual events.

DOI: 10.48550/arxiv.quant-ph/0404153

Related papers

Quantum Measurement Problem and Systems Selfdescription in Operators Algebras Formalism

Sergey Nikolaevich Mayburov

arXiv:quant-ph/0212099Dec 17, 20020 citations

Quantum Measurements and Information Restrictions in Algebraic QM

Sergey Nikolaevich Mayburov

It's argued that Information-Theoretical restrictions for the systems selfdescription are important for Quantum Measurement Problem. They are described by O information system restricted states R formalism by Breuer and can be obtained also in Algebraic QM considering Segal Algebra of O observables. From Segal theorem it's shown that R describes the random measurement outcomes in the individual events.

arXiv:quant-ph/0402044Feb 5, 20040 citations

RESTRICTIONS ON INFORMATION TRANSFER IN QUANTUM MEASUREMENTS

Sergey Nikolaevich Mayburov

International Journal of Quantum InformationFeb 1, 20072 citations

Quantum Measurements and Information-Theoretical Restrictions in Observable Algebras Formalism

Sergey Nikolaevich Mayburov

Information-Theoretical restrictions on the information transfer are applied to Quantum Measurements. For the measurement of quantum object S by information system O this restrictions are calculated in Algebraic QM formalism as the inference map to the (sub)algebra of O observables.

arXiv:quant-ph/0506065Jun 8, 20050 citations

Quantum Measurement Problem, Decoherence, and Quantum Systems Selfdescription

Sergey Nikolaevich Mayburov

arXiv:quant-ph/0205024May 6, 20020 citations

Quantum Information and Wave Function Collapse

Sergey Nikolaevich Mayburov

Nov 26, 20121 citation

arXiv:quant-ph/0404153

Information Systems Self-description and Quantum Measurement Problem

Sergey Nikolaevich Mayburov

Published Apr 27, 2004• 0 citations

arXiv HTML PDF

Abstract

DOI: 10.48550/arxiv.quant-ph/0404153

Related papers

Quantum Measurement Problem and Systems Selfdescription in Operators Algebras Formalism

Sergey Nikolaevich Mayburov

Quantum Measurement problem studied in Information Theory approach of systems selfdescription which exploits the information acquisition incompleteness for the arbitrary information system. The studied model of measuring system (MS) consist of measured state S environment E and observer $O$ processing input S signal. $O$ considered as the quantum object which interaction with S,E obeys to Schrodinger equation (SE). MS incomplete or restricted states for $O$ derived by the algebraic QM formalism which exploits Segal and $C^*$ -algebras. From Segal theorem for systems subalgebras it's shown that such restricted states $V^O=|O_j> < O_j|$ describes the classical random 'pointer' outcomes $O_j$ observed by $O$ in the individual events. The 'preferred' basis $|O_j>$ defined by $O$ state decoherence via $O$ - E interactions.Quantum Measurement problem studied in Information Theory approach of systems selfdescription which exploits the information acquisition incompleteness for the arbitrary information system. The studied model of measuring system (MS) consist of measured state S environment E and observer $O$ processing input S signal. $O$ considered as the quantum object which interaction with S,E obeys to Schrodinger equation (SE). MS incomplete or restricted states for $O$ derived by the algebraic QM formalism which exploits Segal and $C^*$-algebras. From Segal theorem for systems subalgebras it's shown that such restricted states $V^O=|O_j> < O_j|$ describes the classical random 'pointer' outcomes $O_j$ observed by $O$ in the individual events. The 'preferred' basis $|O_j>$ defined by $O$ state decoherence via $O$ - E interactions.

arXiv:quant-ph/0212099Dec 17, 20020 citations

Quantum Measurements and Information Restrictions in Algebraic QM

Sergey Nikolaevich Mayburov

arXiv:quant-ph/0402044Feb 5, 20040 citations

RESTRICTIONS ON INFORMATION TRANSFER IN QUANTUM MEASUREMENTS

Sergey Nikolaevich Mayburov

Information-theoretical restrictions on the information transfer in quantum measurements are studied for practical systems. For the measurement of quantum system S by information system O such restrictions are described by a formalism of inference maps in Hilbert space, the resulting O restricted states ξO calculated from the agreement with Schrödinger S, O dynamics. It is shown that the principal S information losses stipulate the stochasticity of measurement outcomes; consequently ξO describes the random "pointer" outcomes qj observed by O in the individual events.Information-theoretical restrictions on the information transfer in quantum measurements are studied for practical systems. For the measurement of quantum system S by information system O such restrictions are described by a formalism of inference maps in Hilbert space, the resulting O restricted states ξO calculated from the agreement with Schrödinger S, O dynamics. It is shown that the principal S information losses stipulate the stochasticity of measurement outcomes; consequently ξO describes the random "pointer" outcomes qj observed by O in the individual events.

International Journal of Quantum InformationFeb 1, 20072 citations

Quantum Measurements and Information-Theoretical Restrictions in Observable Algebras Formalism

Sergey Nikolaevich Mayburov

arXiv:quant-ph/0506065Jun 8, 20050 citations

Quantum Measurement Problem, Decoherence, and Quantum Systems Selfdescription

Sergey Nikolaevich Mayburov

Quantum Measurements regarded in Systems Selfdescription framework for measuring system (MS) consist of measured state S environment E and observer $O$ processing input S signal. $O$ regarded as quantum object which interaction with S,E obeys to Schrodinger equation (SE) and from it and Breuer selfdescription formalism S information for $O$ reconstructed. In particular S state collapse obtained if $O$ selfdescription state has the dual structure $L_T=\cal H \bigotimes L_V$ where $\cal H$ is Hilbert space of MS states $Ψ_{MS}$ . $\cal L_V$ is the set with elements $V^O=|O_j> < O_j|$ describing random 'pointer' outcomes $O_j$ observed by $O$ in the individual events. The 'preferred' basis $|O_j>$ defined by $O$ state decoherence via $O$ - E interactions. Zurek's Existential Interpretation discussed in selfmeasurement framework.Quantum Measurements regarded in Systems Selfdescription framework for measuring system (MS) consist of measured state S environment E and observer $O$ processing input S signal. $O$ regarded as quantum object which interaction with S,E obeys to Schrodinger equation (SE) and from it and Breuer selfdescription formalism S information for $O$ reconstructed. In particular S state collapse obtained if $O$ selfdescription state has the dual structure $L_T=\cal H \bigotimes L_V$ where $\cal H$ is Hilbert space of MS states $Ψ_{MS}$. $\cal L_V$ is the set with elements $V^O=|O_j> < O_j|$ describing random 'pointer' outcomes $O_j$ observed by $O$ in the individual events. The 'preferred' basis $|O_j>$ defined by $O$ state decoherence via $O$ - E interactions. Zurek's Existential Interpretation discussed in selfmeasurement framework.

arXiv:quant-ph/0205024May 6, 20020 citations

Quantum Information and Wave Function Collapse

Sergey Nikolaevich Mayburov

Information-theoretical restrictions on the information transferred in quantum measurements are regarded for the measurement of object S performed via its interaction with information system O. This information restrictions, induced by Heisenberg commutation relations, are derived in the formalism of inference maps in Hilbert space. O restricted states ξ O are calculated from S,O quantum dynamics and the structure of O observables set (algebra). It’s shown that this principal constraints on the information transfer result in the appearance of stochasticity in the measurement outcomes. Consequently, ξ O describes the random ’pointer ’ outcomes qj, which correspond to the collapse of S pure state. O decoherence by its environment is studied for some S, O systems, it’s shown that it doesn’t change this results principally. 1Information-theoretical restrictions on the information transferred in quantum measurements are regarded for the measurement of object S performed via its interaction with information system O. This information restrictions, induced by Heisenberg commutation relations, are derived in the formalism of inference maps in Hilbert space. O restricted states ξ O are calculated from S,O quantum dynamics and the structure of O observables set (algebra). It’s shown that this principal constraints on the information transfer result in the appearance of stochasticity in the measurement outcomes. Consequently, ξ O describes the random ’pointer ’ outcomes qj, which correspond to the collapse of S pure state. O decoherence by its environment is studied for some S, O systems, it’s shown that it doesn’t change this results principally. 1

Nov 26, 20121 citation

O

processing input S signal.

O

considered as the quantum object which interaction with S,E obeys to Schrodinger equation (SE). MS incomplete or restricted states for

O

derived by the algebraic QM formalism which exploits Segal and

C^*

-algebras. From Segal theorem for systems subalgebras it's shown that such restricted states

V^O=|O_j> < O_j|

describes the classical random 'pointer' outcomes

O_j

observed by

O

in the individual events. The 'preferred' basis

|O_j>

defined by

O

state decoherence via

O

- E interactions.

Quantum Measurements regarded in Systems Selfdescription framework for measuring system (MS) consist of measured state S environment E and observer

O

processing input S signal.

O

regarded as quantum object which interaction with S,E obeys to Schrodinger equation (SE) and from it and Breuer selfdescription formalism S information for

O

reconstructed. In particular S state collapse obtained if

O

selfdescription state has the dual structure

L_T=\cal H \bigotimes L_V

where

\cal H

is Hilbert space of MS states

Ψ_{MS}

\cal L_V

is the set with elements

V^O=|O_j> < O_j|

describing random 'pointer' outcomes

O_j

observed by

O

in the individual events. The 'preferred' basis

|O_j>

defined by

O

state decoherence via

O

- E interactions. Zurek's Existential Interpretation discussed in selfmeasurement framework.