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Fannes–Audenaert inequality

Index Fannes–Audenaert inequality

The Fannes–Audenaert inequality is a mathematical bound on the difference between the von Neumann entropies of two density matrices as a function of their trace distance. [1]

11 relations: Cambridge, Cambridge University Press, Density matrix, Entropy (information theory), KU Leuven, List of continuity-related mathematical topics, Logarithm, New York City, Quantum Computation and Quantum Information (book), Trace distance, Von Neumann entropy.

Cambridge

Cambridge is a university city and the county town of Cambridgeshire, England, on the River Cam approximately north of London.

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Cambridge University Press

Cambridge University Press (CUP) is the publishing business of the University of Cambridge.

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Density matrix

A density matrix is a matrix that describes a quantum system in a mixed state, a statistical ensemble of several quantum states.

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Entropy (information theory)

Information entropy is the average rate at which information is produced by a stochastic source of data.

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KU Leuven

The Katholieke Universiteit Leuven (in English: Catholic University of Leuven), abbreviated KU Leuven, is a research university in the Dutch-speaking town of Leuven in Flanders, Belgium.

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List of continuity-related mathematical topics

In mathematics, the terms continuity, continuous, and continuum are used in a variety of related ways.

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Logarithm

In mathematics, the logarithm is the inverse function to exponentiation.

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New York City

The City of New York, often called New York City (NYC) or simply New York, is the most populous city in the United States.

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Quantum Computation and Quantum Information (book)

Quantum Computation and Quantum Information is a textbook about quantum information science written by Michael Nielsen and Isaac Chuang, regarded as a standard text on the subject.

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Trace distance

In quantum mechanics, and especially quantum information and the study of open quantum systems, the trace distance T is a metric on the space of density matrices and gives a measure of the distinguishability between two states.

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Von Neumann entropy

In quantum statistical mechanics, the von Neumann entropy, named after John von Neumann, is the extension of classical Gibbs entropy concepts to the field of quantum mechanics.

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Redirects here:

Fannes' inequality, Fannes-Audenaert inequality.

References

[1] https://en.wikipedia.org/wiki/Fannes–Audenaert_inequality

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