数理解析研究所講究録

The Arcsine Law and "Quantum-Classical Correspondence" (Mathematical Studies on Independence and Dependence Structure : Algebra meets Probability)

Hayato Saigo

Published Dec 1, 2012• 0 citations

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Algebra and Quantum Statistics

E. Celeghini, Mario Rasetti

Jan 1, 19990 citations

The Arcsine Law and "Quantum-Classical Correspondence" (Mathematical Studies on Independence and Dependence Structure : Algebra meets Probability : RIMS研究集会報告集)

甲矢人西郷

数理解析研究所講究録Dec 1, 20120 citations

A NEW LOOK AT THE ARCSINE LAW AND "QUANTUM-CLASSICAL CORRESPONDENCE"

Hayato Saigo

We prove that the arcsine law as the time-averaged distribution for classical harmonic oscillators emerges from the distributions for quantum harmonic oscillators in terms of noncommutative algebraic probability. This is nothing but a simple and rigorous realization of "Quantum-Classical Correspondence" for harmonic oscillators.

arXiv:1202.1778Infinite Dimensional Analysis Quantum Probability and Related TopicsAug 23, 20125 citations

Quantum-Classical Correspondence

A. O. Bolivar

The frontiers collectionJan 1, 200466 citations

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Karolinum Press eBooksJun 1, 20150 citations

QUANTIZATION OF INFORMATION THEORY (Mathematical Studies on Independence and Dependence Structure : Algebra meets Probability)

Ichiro Fujimoto, Hideo Miyata

数理解析研究所講究録Dec 1, 20120 citations

数理解析研究所講究録

The Arcsine Law and "Quantum-Classical Correspondence" (Mathematical Studies on Independence and Dependence Structure : Algebra meets Probability)

Hayato Saigo

Published Dec 1, 2012• 0 citations

OpenAlex

Related papers

Algebra and Quantum Statistics

E. Celeghini, Mario Rasetti

Jan 1, 19990 citations

The Arcsine Law and "Quantum-Classical Correspondence" (Mathematical Studies on Independence and Dependence Structure : Algebra meets Probability : RIMS研究集会報告集)

甲矢人西郷

数理解析研究所講究録Dec 1, 20120 citations

A NEW LOOK AT THE ARCSINE LAW AND "QUANTUM-CLASSICAL CORRESPONDENCE"

Hayato Saigo

arXiv:1202.1778Infinite Dimensional Analysis Quantum Probability and Related TopicsAug 23, 20125 citations

Quantum-Classical Correspondence

A. O. Bolivar

The frontiers collectionJan 1, 200466 citations

QUANTUM-CLASSICAL CORRESPONDENCE

Karolinum Press eBooksJun 1, 20150 citations

QUANTIZATION OF INFORMATION THEORY (Mathematical Studies on Independence and Dependence Structure : Algebra meets Probability)

Ichiro Fujimoto, Hideo Miyata

In scope of $CP$ -convexity theory for $C^{*}$ -algebras (quantization of convexity, measure, entropy for completely positive maps), we investigate the operational stmcture of quantum interactions of entangled systems, and propose new information quantities which naturally generalize the classical information theory.In scope of $CP$ -convexity theory for $C^{*}$ -algebras (quantization of convexity, measure, entropy for completely positive maps), we investigate the operational stmcture of quantum interactions of entangled systems, and propose new information quantities which naturally generalize the classical information theory.

数理解析研究所講究録Dec 1, 20120 citations

In scope of

CP

-convexity theory for

C^{*}

-algebras (quantization of convexity, measure, entropy for completely positive maps), we investigate the operational stmcture of quantum interactions of entangled systems, and propose new information quantities which naturally generalize the classical information theory.