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Books on the topic 'Quantum estimation theory'

Author: Grafiati
Published: 10 March 2023

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1

Matteo, Paris, and Řeháček Jaroslav, eds. Quantum state estimation. Berlin: Springer, 2004.

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2

Harney, Hanns L. Bayesian Inference: Parameter Estimation and Decisions. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003.

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3

Watanabe, Yu. Formulation of Uncertainty Relation Between Error and Disturbance in Quantum Measurement by Using Quantum Estimation Theory. Tokyo: Springer Japan, 2014. http://dx.doi.org/10.1007/978-4-431-54493-7.

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4

Harney, Hanns L. Bayesian inference: Parameter estimation and decisions. Berlin: Springer, 2002.

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5

1975-, Sims Robert, and Ueltschi Daniel 1969-, eds. Entropy and the quantum II: Arizona School of Analysis with Applications, March 15-19, 2010, University of Arizona. Providence, R.I: American Mathematical Society, 2011.

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6

Barnett, Alex, 1972 December 7- editor of compilation, ed. Spectral geometry. Providence, Rhode Islands: American Mathematical Society, 2012.

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7

Paris, Matteo. Quantum State Estimation. Springer, 2010.

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8

Chakrabarti, Raj. Quantum Control and Quantum Estimation Theory. Taylor & Francis Group, 2011.

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9

Chakrabarti, Raj. Quantum Control and Quantum Estimation Theory. Taylor & Francis Group, 2021.

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10

Teo, Yong Siah. Introduction to Quantum-State Estimation. World Scientific Publishing Co Pte Ltd, 2015.

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11

Sugiyama, Takanori. Finite Sample Analysis in Quantum Estimation. Springer London, Limited, 2014.

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12

Sugiyama, Takanori. Finite Sample Analysis in Quantum Estimation. Springer, 2014.

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13

Sugiyama, Takanori. Finite Sample Analysis in Quantum Estimation. Springer, 2014.

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14

Sugiyama, Takanori. Finite Sample Analysis in Quantum Estimation. Springer, 2016.

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15

Watanabe, Yu. Formulation of Uncertainty Relation Between Error and Disturbance in Quantum Measurement by Using Quantum Estimation Theory. Yu Watanabe, 2013.

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16

Watanabe, Yu. Formulation of Uncertainty Relation Between Error and Disturbance in Quantum Measurement by Using Quantum Estimation Theory. Springer London, Limited, 2013.

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17

Watanabe, Yu. Formulation of Uncertainty Relation Between Error and Disturbance in Quantum Measurement by Using Quantum Estimation Theory. Springer Japan, 2016.

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18

Beenakker, Carlo W. J. Extreme eigenvalues of Wishart matrices: application to entangled bipartite system. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.37.

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Abstract:
This article describes the application of random matrix theory (RMT) to the estimation of the bipartite entanglement of a quantum system, with particular emphasis on the extreme eigenvalues of Wishart matrices. It first provides an overview of some spectral properties of unconstrained Wishart matrices before introducing the problem of the random pure state of an entangled quantum bipartite system consisting of two subsystems whose Hilbert spaces have dimensions M and N respectively with N ≤ M. The focus is on the smallest eigenvalue which serves as an important measure of entanglement between the two subsystems. The minimum eigenvalue distribution for quadratic matrices is also considered. The article shows that the N eigenvalues of the reduced density matrix of the smaller subsystem are distributed exactly as the eigenvalues of a Wishart matrix, except that the eigenvalues satisfy a global constraint: the trace is fixed to be unity.
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