☆ 4.4 Article

Q-curvature and path integral complexity

JOURNAL OF HIGH ENERGY PHYSICS (2022)

Related references

Note: Only part of the references are listed.

Article Physics, Particles & Fields

Quantum computational complexity from quantum information to black holes and back

Shira Chapman et al.

Summary: Quantum computational complexity is important in both quantum computation and black hole information processing. This article presents the geometric approach to complexity, discusses the relation between complexity, gravitational quantities, and chaos, and highlights open problems and future directions.

EUROPEAN PHYSICAL JOURNAL C (2022)

Add to Collection

Review Physics, Multidisciplinary

Quantum information in holographic duality

Bowen Chen et al.

Summary: In this paper, we provide a pedagogical review of the application of concepts from quantum information theory and gravitational theory in the anti-de Sitter/conformal field theory correspondence. We introduce various concepts and techniques, and aim to give researchers a working knowledge in this field for initiating original projects.

REPORTS ON PROGRESS IN PHYSICS (2022)

Add to Collection

Article Physics, Particles & Fields

Path integral complexity and Kasner singularities

Pawel Caputa et al.

Summary: In this article, we explore the properties of path integral complexity in field theories on time-dependent backgrounds using the dual description in terms of Hartle-Hawking wavefunctions. Our findings show that holographic path integral complexity decreases as the singularity is approached, consistent with previous results from holographic complexity conjectures. Additionally, we identify examples where the complexity becomes universal, independent of the Kasner exponents, while the properties of the path integral tensor networks are sensitive to this data.

JOURNAL OF HIGH ENERGY PHYSICS (2022)

Add to Collection

Article Physics, Particles & Fields

What kind of complexity is dual to holographic complexity?

Run-Qiu Yang et al.

Summary: This paper discusses the duality between holographic complexity and field theory complexity, proposing a field theory formula based on specific properties to describe holographic complexity, which is consistent with path-integral complexity and provides a clear interpretation of the reference states in complexity conjectures.

EUROPEAN PHYSICAL JOURNAL C (2022)

Add to Collection

Article Physics, Mathematical

Liouville conformal field theory on even-dimensional spheres

Baptiste Cercle

Summary: This article provides a rigorous construction of Liouville conformal field theory on even-dimensional spheres, based on the Polyakov formalism and conformally invariant operators. The properties of the constructed objects are consistent with expectations from physics literature.

JOURNAL OF MATHEMATICAL PHYSICS (2022)

Add to Collection

Article Physics, Particles & Fields

Geometry and complexity of path integrals in inhomogeneous CFTs

Pawel Caputa et al.

Summary: In this study, the path integral optimization in a class of inhomogeneous 2d CFTs was developed by putting an ordinary CFT on a space with a position dependent metric. Specific examples were studied, and it was found that optimal path integrals coincide with particular slices of AdS(3) geometries. Entanglement entropies in inhomogeneous CFTs were analyzed, showing they satisfy Hill's equations and can be used to extract energy density consistent with the first law of entanglement.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Add to Collection

Article Physics, Multidisciplinary

Emergent Einstein Equation in p-adic Conformal Field Theory Tensor Networks

Lin Chen et al.

Summary: The study demonstrates the satisfaction of the emergent graph Einstein equation in the boundary conditions of the tensor network describing the BT tree geometry, and shows that this geometry is consistent with the bulk effective matter action encoding the same correlation function. The research provides new insights into the potential gravitational dynamics encoded in more general tensor networks.

PHYSICAL REVIEW LETTERS (2021)

Add to Collection

Article Physics, Particles & Fields

Building tensor networks for holographic states

Pawel Caputa et al.

Summary: In this paper, we discuss a novel family of Euclidean path integral states in two-dimensional holographic conformal field theories, which can be interpreted as continuous tensor network (CTN) states. These CTN states satisfy a Ryu-Takayanagi-like minimal area upper bound on entanglement entropies, with a coefficient of 14GN. The original state of the CFT can be expressed as a superposition of such CTN states, with the corresponding wavefunction being the bulk Hartle-Hawking wavefunction.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Add to Collection

Article Physics, Particles & Fields

Spacetime as a quantum circuit

A. Ramesh Chandra et al.

Summary: The proposed finite cutoff regions of holographic spacetimes represent quantum circuits mapping between boundary states at different times, with complexity determined by gravitational action and minimized by optimal circuits. Surfaces of constant scalar curvature play a special role in optimizing quantum circuits.The proposed connection to kinematic space and discussion of possible circuit representations of gravitational action provide further insights.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Add to Collection

Article Physics, Mathematical

A note on boundary conditions in Euclidean gravity

Edward Witten

Summary: This paper reviews the known boundary conditions in General Relativity on a spacetime of Euclidean signature, discussing the issues with the obvious Dirichlet boundary condition and proposing a more effective boundary condition for solving perturbation theory problems.

REVIEWS IN MATHEMATICAL PHYSICS (2021)

Add to Collection

Article Physics, Particles & Fields

Holographic path-integral optimization

Jan Boruch et al.

Summary: This work elaborates on the holographic description of path-integral optimization using Hartle-Hawking wave functions in Anti-de Sitter spacetimes in conformal field theories. It argues that maximizing the Hartle-Hawking wave function is equivalent to the path-integral optimization procedure in CFT. The study shows that metrics maximizing gravity wave functions in particular holographic geometries precisely match those derived in the path-integral optimization procedure for their dual CFT states.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Add to Collection

Article Physics, Particles & Fields

Conformal boundary conditions from cutoff AdS3

Evan Coleman et al.

Summary: The passage discusses a specific flow constructed in the space of 2D Euclidean QFTs, which is argued to be dual to a class of solutions in 3D Euclidean gravity with conformal boundary conditions. This new flow originates from a Legendre transform of the kernel implementing the T(T) over bar deformation. The equivalence between the flow equation and variants of the Wheeler de-Witt equation for a torus universe in the Constant Mean Curvature (CMC) slicing is demonstrated.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Add to Collection

Article Astronomy & Astrophysics

Emergent geometry and path integral optimization for a Lifshitz action

A. Ahmadain et al.

Summary: By extending the background metric optimization procedure to a Lifshitz field theory, optimal geometries for static and dynamic correlation functions were found. The results suggest that a MERA-like tensor network may still be considered an optimal background spacetime configuration for the numerical description of this system, despite not starting with a conformal field theory.

PHYSICAL REVIEW D (2021)

Add to Collection

Article Astronomy & Astrophysics

Geometry of quantum complexity

Roberto Auzzi et al.

Summary: The study focuses on quantum computational complexity and its applications in holographic understanding of the black hole interior. By choosing penalty factors, negative curvatures are achieved to reproduce desired features in holography. The relationship between operator and state complexities is analyzed, providing a direct relation between geodesics and curvatures and a closed-form expression for the metric in terms of the operators.

PHYSICAL REVIEW D (2021)

Add to Collection

Article Astronomy & Astrophysics

Path integral optimization from Hartle-Hawking wave function

Jan Boruch et al.

Summary: This paper introduces a gravity dual description of path integral optimization in conformal field theories and discusses the equivalence between maximizing the Hartle-Hawking wave function and the path integral optimization procedure, as well as its application in various dimensions.

PHYSICAL REVIEW D (2021)

Add to Collection

Article Physics, Particles & Fields

Complexity and emergence of warped AdS3 space-time from chiral Liouville action

Mahdis Ghodrati

JOURNAL OF HIGH ENERGY PHYSICS (2020)

Add to Collection

Article Physics, Multidisciplinary

Renormalized Circuit Complexity

Arpan Bhattacharyya et al.

PHYSICAL REVIEW LETTERS (2020)

Add to Collection

Article Astronomy & Astrophysics

Path integral optimization for T(T)over-bar deformation

Ghadir Jafari et al.

PHYSICAL REVIEW D (2020)

Add to Collection

Article Physics, Particles & Fields

Holography at finite cutoff with a T2 deformation

Thomas Hartman et al.

JOURNAL OF HIGH ENERGY PHYSICS (2019)

Add to Collection

Article Physics, Multidisciplinary

Path Integral Optimization as Circuit Complexity

Hugo A. Camargo et al.

PHYSICAL REVIEW LETTERS (2019)

Add to Collection

Article Physics, Multidisciplinary

Quantum Computation as Gravity

Pawel Caputa et al.

PHYSICAL REVIEW LETTERS (2019)

Add to Collection

Article Physics, Particles & Fields

Sphere partition functions & cut-off AdS

Pawel Caputa et al.

JOURNAL OF HIGH ENERGY PHYSICS (2019)

Add to Collection

Article Physics, Particles & Fields

Beyond toy models: distilling tensor networks in full AdS/CFT

Ning Bao et al.

JOURNAL OF HIGH ENERGY PHYSICS (2019)

Add to Collection

Article Astronomy & Astrophysics

Holographic (a, c) charges and their universal relation in d=6 from massless higher-order gravities

H. Lu et al.

PHYSICAL REVIEW D (2019)

Add to Collection

Article Astronomy & Astrophysics

Complexity geometry of a single qubit

Adam R. Brown et al.

PHYSICAL REVIEW D (2019)

Add to Collection

Article Physics, Multidisciplinary

Einstein Equations from Varying Complexity

Bartlomiej Czech

PHYSICAL REVIEW LETTERS (2018)

Add to Collection

Article Physics, Particles & Fields

Liouville conformal field theories in higher dimensions

Tom Levy et al.

JOURNAL OF HIGH ENERGY PHYSICS (2018)

Add to Collection

Article Physics, Particles & Fields

Path-integral complexity for perturbed CFTs

Arpan Bhattacharyya et al.

JOURNAL OF HIGH ENERGY PHYSICS (2018)

Add to Collection

Article Physics, Particles & Fields

Moving the CFT into the bulk with T(T)over-bar

Lauren McGough et al.

JOURNAL OF HIGH ENERGY PHYSICS (2018)

Add to Collection

Article Physics, Particles & Fields

Holographic spacetimes as quantum circuits of path-integrations

Tadashi Takayanagi

JOURNAL OF HIGH ENERGY PHYSICS (2018)

Add to Collection

Article Astronomy & Astrophysics

Second law of quantum complexity

Adam R. Brown et al.

PHYSICAL REVIEW D (2018)

Add to Collection

Article Astronomy & Astrophysics

Q curvature and gravity

Mariano Chernicoff et al.

PHYSICAL REVIEW D (2018)

Add to Collection

Article Physics, Multidisciplinary

Anti-de Sitter Space from Optimization of Path Integrals in Conformal Field Theories

Pawel Caputa et al.

PHYSICAL REVIEW LETTERS (2017)

Add to Collection

Article Physics, Particles & Fields

Simple recipe for holographic Weyl anomaly

F. Bugini et al.

JOURNAL OF HIGH ENERGY PHYSICS (2017)

Add to Collection

Article Physics, Particles & Fields

Liouville action as path-integral complexity: from continuous tensor networks to AdS/CFT

Pawel Caputa et al.

JOURNAL OF HIGH ENERGY PHYSICS (2017)

Add to Collection

Article Astronomy & Astrophysics

From path integrals to tensor networks for the AdS/CFT correspondence

Masamichi Miyaji et al.

PHYSICAL REVIEW D (2017)

Add to Collection

Article Astronomy & Astrophysics

Quantum complexity and negative curvature

Adam R. Brown et al.

PHYSICAL REVIEW D (2017)

Add to Collection

Article Physics, Multidisciplinary

Computational complexity and black hole horizons

Leonard Susskind

FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS (2016)

Add to Collection

Article Physics, Multidisciplinary

Entanglement is not enough

Leonard Susskind

FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS (2016)

Add to Collection

Article Physics, Multidisciplinary

Holographic Complexity Equals Bulk Action?

Adam R. Brown et al.

PHYSICAL REVIEW LETTERS (2016)

Add to Collection

Article Physics, Particles & Fields

Conformal anomaly c-coefficients of superconformal 6d theories

Matteo Beccaria et al.

JOURNAL OF HIGH ENERGY PHYSICS (2016)

Add to Collection

Article Physics, Multidisciplinary

Tensor Network Renormalization Yields the Multiscale Entanglement Renormalization Ansatz

G. Evenbly et al.

PHYSICAL REVIEW LETTERS (2015)

Add to Collection

Article Physics, Multidisciplinary

Tensor Network Renormalization

G. Evenbly et al.

PHYSICAL REVIEW LETTERS (2015)

Add to Collection

Article Astronomy & Astrophysics

Complexity and shock wave geometries

Douglas Stanford et al.

PHYSICAL REVIEW D (2014)

Add to Collection

Article Physics, Particles & Fields

Time evolution of entanglement entropy from black hole interiors

Thomas Hartman et al.

JOURNAL OF HIGH ENERGY PHYSICS (2013)

Add to Collection

Article Astronomy & Astrophysics

c-theorems in arbitrary dimensions

Arpan Bhattacharyya et al.

PHYSICAL REVIEW D (2012)

Add to Collection

Article Physics, Multidisciplinary

New Massive Gravity and AdS4 Counterterms

Dileep P. Jatkar et al.

PHYSICAL REVIEW LETTERS (2011)

Add to Collection

Article Physics, Multidisciplinary

Holographic Dual of a Boundary Conformal Field Theory

Tadashi Takayanagi

PHYSICAL REVIEW LETTERS (2011)

Add to Collection

Article Physics, Particles & Fields

Aspects of AdS/BCFT

Mitsutoshi Fujita et al.

JOURNAL OF HIGH ENERGY PHYSICS (2011)

Add to Collection

Article Physics, Multidisciplinary

Entanglement renormalization

G. Vidal

PHYSICAL REVIEW LETTERS (2007)

Add to Collection

Article Physics, Multidisciplinary

Holographic derivation of entanglement entropy from the anti-de Sitter space/conformal field theory correspondence

Shinsei Ryu et al.

PHYSICAL REVIEW LETTERS (2006)

Add to Collection

Article Multidisciplinary Sciences

Quantum computation as geometry

MA Nielsen et al.

SCIENCE (2006)

Add to Collection

© Peeref 2019-2024. All rights reserved.