Entropy

Entropy of entanglement

The entropy of entanglement (or entanglement entropy) is a measure of the degree of quantum entanglement between two subsystems constituting a two-part composite quantum system. Given a pure bipartite quantum state of the composite system, it is possible to obtain a reduced density matrix describing knowledge of the state of a subsystem. The entropy of entanglement is the Von Neumann entropy of the reduced density matrix for any of the subsystems. If it is non-zero, i.e. the subsystem is in a mixed state, it indicates the two subsystems are entangled. More mathematically; if a state describing two subsystems A and B is a separable state, then the reduced density matrix is a pure state. Thus, the entropy of the state is zero. Similarly, the density matrix of B would also have 0 entropy. A reduced density matrix having a non-zero entropy is therefore a signal of the existence of entanglement in the system. (Wikipedia).

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Entropy is NOT About Disorder

Entropy is often taught as a measure of how disordered or how mixed up a system is, but this definition never really sat right with me. How is "disorder" defined and why is one way of arranging things any more disordered than another? It wasn't until much later in my physics career that I

From playlist Thermal Physics/Statistical Physics

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Physics - Thermodynamics 2: Ch 32.7 Thermo Potential (10 of 25) What is Entropy?

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From playlist PHYSICS 32.7 THERMODYNAMIC POTENTIALS

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From playlist Topics in Combinatorics (Cambridge Part III course)

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Discussion Meeting: Entanglement from Gravity(URL: http://www.icts.res.in/discussion_meeting/EG2014/) Dates: Wednesday 10 Dec, 2014 - Friday 12 Dec, 2014 Description: In the last few years, quantum entanglement considerations have led to profound insights in the connection with gravity.

From playlist Discussion Meeting: Entanglement from Gravity

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Entropy's role on Thermodynamics

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From playlist Materials Sciences 101 - Introduction to Materials Science & Engineering 2020

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Comments on State Dependent Operators in Quantum Gravity

Discussion Meeting: Entanglement from Gravity(URL: http://www.icts.res.in/discussion_meeting/EG2014/) Dates: Wednesday 10 Dec, 2014 - Friday 12 Dec, 2014 Description: In the last few years, quantum entanglement considerations have led to profound insights in the connection with gravity.

From playlist Discussion Meeting: Entanglement from Gravity

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Discussion Meeting: Entanglement from Gravity(URL: http://www.icts.res.in/discussion_meeting/EG2014/) Dates: Wednesday 10 Dec, 2014 - Friday 12 Dec, 2014 Description: In the last few years, quantum entanglement considerations have led to profound insights in the connection with gravity.

From playlist Discussion Meeting: Entanglement from Gravity

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Discussion Meeting: Entanglement from Gravity(URL: http://www.icts.res.in/discussion_meeting/EG2014/) Dates: Wednesday 10 Dec, 2014 - Friday 12 Dec, 2014 Description: In the last few years, quantum entanglement considerations have led to profound insights in the connection with gravity.

From playlist Discussion Meeting: Entanglement from Gravity

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Discussion Meeting: Entanglement from Gravity(URL: http://www.icts.res.in/discussion_meeting/EG2014/) Dates: Wednesday 10 Dec, 2014 - Friday 12 Dec, 2014 Description: In the last few years, quantum entanglement considerations have led to profound insights in the connection with gravity.

From playlist Discussion Meeting: Entanglement from Gravity

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A New Generalization of Entanglement Entropy by Tadashi Takayanagi

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From playlist ICTS Colloquia

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Discussion Meeting: Entanglement from Gravity(URL: http://www.icts.res.in/discussion_meeting/EG2014/) Dates: Wednesday 10 Dec, 2014 - Friday 12 Dec, 2014 Description: In the last few years, quantum entanglement considerations have led to profound insights in the connection with gravity.

From playlist Chandrasekhar Lectures

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Tadashi Takayanagi - Quantum Entanglement and Holography (1)

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Entanglement in theories of gravity by Suvrat Raju

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MagLab Theory Winter School 2018: David Huse Thermalization & Entanglement Dynamics

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From playlist 2018 Theory Winter School

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Universal dynamics and entanglement patterns near the many-body localization transition

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From playlist Discussion Meeting: Quantum entanglement in macroscopic matter

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A note on entanglement entropy, coherent states and gravity by Madhavan Varadarajan

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From playlist Fundamental Problems of Quantum Physics

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Elliott H. Lieb: Entropy and entanglement bounds for reduced density matrices of fermionic states

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From playlist Mathematical Physics

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Anna Vershynina: "Quasi-relative entropy: the closest separable state & reversed Pinsker inequality"

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From playlist Entropy Inequalities, Quantum Information and Quantum Physics 2021

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Universal corrections to entanglement entropy of local quantum quenches by Surbhi Khetrapal

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From playlist Bangalore Area String Meeting

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Cambyse Rouzé: "Spectral methods for entropic contraction coefficients"

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From playlist Entropy Inequalities, Quantum Information and Quantum Physics 2021

Related pages

Boltzmann constant | Quantum entanglement | Entanglement of formation | Quantum harmonic oscillator | Squashed entanglement | Temperature | Rényi entropy | Quantum relative entropy | Negativity (quantum mechanics) | Schmidt decomposition | Von Neumann entropy