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1

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

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2

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

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

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4

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

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5

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

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6

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

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7

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

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8

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

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9

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

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

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11

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

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12

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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13

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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14

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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15

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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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
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