Journal of High Energy Physics, ISSN 1126-6708, 06/2016, Volume 2016, Issue 6, pp. 1 - 20

We consider the gravity dual of the modular Hamiltonian associated to a general subregion of a boundary theory. We use it to argue that the relative entropy of...

AdS-CFT Correspondence | Field Theories in Higher Dimensions | 1/N Expansion | Models of Quantum Gravity | PHYSICS, PARTICLES & FIELDS | Reconstruction | Gravitation | Entanglement | Entropy | Modular | Coupling | Boundaries | Wedges | General Relativity and Quantum Cosmology | Nuclear and High Energy Physics | Quantum Physics | High Energy Physics - Theory | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | 1/N Expansion, Models of Quantum Gravity

AdS-CFT Correspondence | Field Theories in Higher Dimensions | 1/N Expansion | Models of Quantum Gravity | PHYSICS, PARTICLES & FIELDS | Reconstruction | Gravitation | Entanglement | Entropy | Modular | Coupling | Boundaries | Wedges | General Relativity and Quantum Cosmology | Nuclear and High Energy Physics | Quantum Physics | High Energy Physics - Theory | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | 1/N Expansion, Models of Quantum Gravity

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 8/2013, Volume 2013, Issue 8, pp. 1 - 65

Relative entropy between two states in the same Hilbert space is a fundamental statistical measure of the distance between these states. Relative entropy is...

Holography and condensed matter physics (AdS/CMT) | Black Holes | AdS-CFT Correspondence | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | QUANTUM-FIELD THEORY | ADS/CFT CORRESPONDENCE | BLACK-HOLE | SCALAR FIELD | ENTANGLEMENT ENTROPY | THERMODYNAMICS | INFORMATION-THEORY | DUALITY CONDITION | BOUNDED SYSTEMS | TO-ENERGY RATIO | PHYSICS, PARTICLES & FIELDS | Holography | Mathematical analysis | Inequalities | Tomography | Hilbert space | Entanglement | Entropy | Modular

Holography and condensed matter physics (AdS/CMT) | Black Holes | AdS-CFT Correspondence | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | QUANTUM-FIELD THEORY | ADS/CFT CORRESPONDENCE | BLACK-HOLE | SCALAR FIELD | ENTANGLEMENT ENTROPY | THERMODYNAMICS | INFORMATION-THEORY | DUALITY CONDITION | BOUNDED SYSTEMS | TO-ENERGY RATIO | PHYSICS, PARTICLES & FIELDS | Holography | Mathematical analysis | Inequalities | Tomography | Hilbert space | Entanglement | Entropy | Modular

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 12/2014, Volume 2014, Issue 12, pp. 1 - 36

We identify conditions for the entanglement entropy as a function of spatial region to be compatible with causality in an arbitrary relativistic quantum field...

AdS-CFT Correspondence | Classical Theories of Gravity | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | PHYSICS, PARTICLES & FIELDS | Gravity | General Relativity and Quantum Cosmology | AdS-CFT correspondence | Entanglement entropy | Nuclear and High Energy Physics | High Energy Physics - Theory | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

AdS-CFT Correspondence | Classical Theories of Gravity | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | PHYSICS, PARTICLES & FIELDS | Gravity | General Relativity and Quantum Cosmology | AdS-CFT correspondence | Entanglement entropy | Nuclear and High Energy Physics | High Energy Physics - Theory | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Journal Article

Communications in Mathematical Physics, ISSN 0010-3616, 10/2016, Volume 347, Issue 1, pp. 291 - 313

We present a bouquet of continuity bounds for quantum entropies, falling broadly into two classes: first, a tight analysis of the Alickiâ€“Fannes continuity...

Quantum Physics | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | DENSITY | CAPACITY | CHANNEL | ENTANGLEMENT | ENSEMBLES | PROBABILITY RELATIONS | PHYSICS, MATHEMATICAL

Quantum Physics | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | DENSITY | CAPACITY | CHANNEL | ENTANGLEMENT | ENSEMBLES | PROBABILITY RELATIONS | PHYSICS, MATHEMATICAL

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 8/2016, Volume 2016, Issue 8, pp. 1 - 42

We develop a renormalization method for holographic entanglement entropy based on area renormalization of entangling surfaces. The renormalized entanglement...

AdS-CFT Correspondence | Gauge-gravity correspondence | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | PHYSICS, PARTICLES & FIELDS | Partitions | Deformation mechanisms | Asymptotic properties | Disks | Slicing | Entanglement | Entropy | Standards | Physics - High Energy Physics - Theory

AdS-CFT Correspondence | Gauge-gravity correspondence | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | PHYSICS, PARTICLES & FIELDS | Partitions | Deformation mechanisms | Asymptotic properties | Disks | Slicing | Entanglement | Entropy | Standards | Physics - High Energy Physics - Theory

Journal Article

The European Physical Journal C, ISSN 1434-6044, 1/2018, Volume 78, Issue 1, pp. 1 - 17

The entanglement and RÃ©nyi entropies for spherical entangling surfaces in CFTs with gravity duals can be explicitly calculated by mapping these entropies first...

Nuclear Physics, Heavy Ions, Hadrons | Measurement Science and Instrumentation | Nuclear Energy | Quantum Field Theories, String Theory | Physics | Elementary Particles, Quantum Field Theory | Astronomy, Astrophysics and Cosmology | CONFORMAL FIELD-THEORY | THERMODYNAMICS | PHYSICS, PARTICLES & FIELDS | Gravitation | Entropy | Entanglement | Mathematical analysis | Black holes | Asymptotic methods | General Relativity and Quantum Cosmology | Nuclear and particle physics. Atomic energy. Radioactivity | Astrophysics

Nuclear Physics, Heavy Ions, Hadrons | Measurement Science and Instrumentation | Nuclear Energy | Quantum Field Theories, String Theory | Physics | Elementary Particles, Quantum Field Theory | Astronomy, Astrophysics and Cosmology | CONFORMAL FIELD-THEORY | THERMODYNAMICS | PHYSICS, PARTICLES & FIELDS | Gravitation | Entropy | Entanglement | Mathematical analysis | Black holes | Asymptotic methods | General Relativity and Quantum Cosmology | Nuclear and particle physics. Atomic energy. Radioactivity | Astrophysics

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 12/2011, Volume 2011, Issue 12, pp. 1 - 61

We extend the approach of [12] to a new calculation of the RÃ©nyi entropy of a general CFT in d dimensions with a spherical entangling surface, in terms of...

Black Holes in String Theory | Holography and condensed matter physics (AdS/CMT) | AdS-CFT Correspondence | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | AdS-CFT correspondence | Black holes in string theory | ASYMPTOTICALLY ADS | THERMODYNAMICS | HIGHER-DERIVATIVE GRAVITY | BLACK-HOLE | ENTANGLEMENT ENTROPY | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Black Holes in String Theory | Holography and condensed matter physics (AdS/CMT) | AdS-CFT Correspondence | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | AdS-CFT correspondence | Black holes in string theory | ASYMPTOTICALLY ADS | THERMODYNAMICS | HIGHER-DERIVATIVE GRAVITY | BLACK-HOLE | ENTANGLEMENT ENTROPY | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Journal Article

Living Reviews in Relativity, ISSN 2367-3613, 2011, Volume 14, Issue 1, p. 8

The entanglement entropy is a fundamental quantity, which characterizes the correlations between sub-systems in a larger quantum-mechanical system. For two...

STATISTICAL-MECHANICS | GEOMETRIC ENTROPY | INDUCED GRAVITY | THERMAL PARTITION-FUNCTION | LOOP QUANTUM CORRECTIONS | SPECTRAL GEOMETRY | SCALAR FIELD | HEAT KERNEL | DYNAMICAL ORIGIN | STRING THEORY | PHYSICS, PARTICLES & FIELDS | Physics | Review | black holes | Bekenstein-Hawking entropy | entanglement entropy

STATISTICAL-MECHANICS | GEOMETRIC ENTROPY | INDUCED GRAVITY | THERMAL PARTITION-FUNCTION | LOOP QUANTUM CORRECTIONS | SPECTRAL GEOMETRY | SCALAR FIELD | HEAT KERNEL | DYNAMICAL ORIGIN | STRING THEORY | PHYSICS, PARTICLES & FIELDS | Physics | Review | black holes | Bekenstein-Hawking entropy | entanglement entropy

Journal Article

Reviews of Modern Physics, ISSN 0034-6861, 02/2010, Volume 82, Issue 1, pp. 277 - 306

Physical interactions in quantum many-body systems are typically local: Individual constituents interact mainly with their few nearest neighbors. This locality...

RENORMALIZATION-GROUP | PHYSICS, MULTIDISCIPLINARY | PURE STATES | DETERMINANTS | SPIN CHAIN | QUANTUM-FIELD THEORY | SYSTEMS | AVERAGE ENTROPY | DENSITY-MATRIX SPECTRA | STATE ENTANGLEMENT | BLACK-HOLES | Research | Fermions | Analysis | Quantum theory | Black holes (Astronomy) | Entropy (Physics)

RENORMALIZATION-GROUP | PHYSICS, MULTIDISCIPLINARY | PURE STATES | DETERMINANTS | SPIN CHAIN | QUANTUM-FIELD THEORY | SYSTEMS | AVERAGE ENTROPY | DENSITY-MATRIX SPECTRA | STATE ENTANGLEMENT | BLACK-HOLES | Research | Fermions | Analysis | Quantum theory | Black holes (Astronomy) | Entropy (Physics)

Journal Article

Journal of High Energy Physics, ISSN 1029-8479, 8/2019, Volume 2019, Issue 8, pp. 1 - 24

A definition for the entanglement entropy in both Abelian and non-Abelian gauge theories has been given in the literature, based on an extended Hilbert space...

Duality in Gauge Field Theories | Field Theories in Lower Dimensions | Lattice Quantum Field Theory | Quantum Physics | Field Theories in Higher Dimensions | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | PHYSICS, PARTICLES & FIELDS | Distillation | Dilution | Hilbert space | Entropy | Entanglement | Entropy (Information theory)

Duality in Gauge Field Theories | Field Theories in Lower Dimensions | Lattice Quantum Field Theory | Quantum Physics | Field Theories in Higher Dimensions | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | PHYSICS, PARTICLES & FIELDS | Distillation | Dilution | Hilbert space | Entropy | Entanglement | Entropy (Information theory)

Journal Article

Nature Physics, ISSN 1745-2473, 12/2012, Volume 8, Issue 12, pp. 902 - 905

Topological phases are unique states of matter that incorporate long-range quantum entanglement and host exotic excitations with fractional quantum statistics....

GROUND-STATE | PHYSICS, MULTIDISCIPLINARY | Quantum physics | Entropy | Topology | Phases | Algorithms | Ground state | Entanglement | Density | Cylinders | Physics - Strongly Correlated Electrons

GROUND-STATE | PHYSICS, MULTIDISCIPLINARY | Quantum physics | Entropy | Topology | Phases | Algorithms | Ground state | Entanglement | Density | Cylinders | Physics - Strongly Correlated Electrons

Journal Article