Complexity, action, and black holes

被引：539

作者：

Brown, Adam R. ^{[1
,2
]}

Roberts, Daniel A. ^{[3
,4
]}

Susskind, Leonard ^{[1
,2
]}

Swingle, Brian ^{[1
,2
]}

Zhao, Ying ^{[1
,2
]}

机构：

[1] Stanford Univ, Stanford Inst Theoret Phys, Stanford, CA 94305 USA

[2] Stanford Univ, Dept Phys, Stanford, CA 94305 USA

[3] MIT, Ctr Theoret Phys, Cambridge, MA 02139 USA

[4] MIT, Dept Phys, Cambridge, MA 02139 USA

来源：

PHYSICAL REVIEW D | 2016年 / 93卷 / 08期

基金：

美国国家科学基金会;

关键词：

PHYSICAL LIMITS; ENTROPY; GEOMETRY; SPEED;

D O I：

10.1103/PhysRevD.93.086006

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

Our earlier paper "Complexity Equals Action" conjectured that the quantum computational complexity of a holographic state is given by the classical action of a region in the bulk (the "Wheeler-DeWitt" patch). We provide calculations for the results quoted in that paper, explain how it fits into a broader (tensor) network of ideas, and elaborate on the hypothesis that black holes are the fastest computers in nature.

引用

页数：32

共 71 条

[21] Integral geometry and holography [J].

Czech, Bartlomiej ;

Lamprou, Lampros ;

McCandlish, Samuel ;

Sully, James .

JOURNAL OF HIGH ENERGY PHYSICS, 2015, (10)

[22] The information theoretic interpretation of the length of a curve [J].

Czech, Bartlomiej ;

Hayden, Patrick ;

Lashkari, Nima ;

Swingle, Brian .

JOURNAL OF HIGH ENERGY PHYSICS, 2015, (06)

[23] THE EFFECT OF SPHERICAL-SHELLS OF MATTER ON THE SCHWARZSCHILD BLACK-HOLE [J].

DRAY, T ;

THOOFT, G .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1985, 99 (04) :613-625

[24] THE GRAVITATIONAL SHOCK-WAVE OF A MASSLESS PARTICLE [J].

DRAY, T ;

THOOFT, G .

NUCLEAR PHYSICS B, 1985, 253 (01) :173-188

[25] Tensor Network States and Geometry [J].

Evenbly, G. ;

Vidal, G. .

JOURNAL OF STATISTICAL PHYSICS, 2011, 145 (04) :891-918

[26]

Gharibian S., ARXIV14013916

[27] The speed limit of quantum unitary evolution [J].

Giovannetti, V ;

Lloyd, S ;

Maccone, L .

JOURNAL OF OPTICS B-QUANTUM AND SEMICLASSICAL OPTICS, 2004, 6 (08) :S807-S810

[28] Quantum computation vs. firewalls [J].

Harlow, Daniel ;

Hayden, Patrick .

JOURNAL OF HIGH ENERGY PHYSICS, 2013, (06)

[29] Time evolution of entanglement entropy from black hole interiors [J].

Hartman, Thomas ;

Maldacena, Juan .

JOURNAL OF HIGH ENERGY PHYSICS, 2013, (05)

[30] Holographic superconductors [J].

Hartnoll, Sean A. ;

Herzog, Christopher P. ;

Horowitz, Gary T. .

JOURNAL OF HIGH ENERGY PHYSICS, 2008, (12)

← 1 2 3 4 5 6 7 8 →