A Caltech Library Service

Quantum complexity and the virial theorem

Bao, Ning and Liu, Junyu (2018) Quantum complexity and the virial theorem. Journal of High Energy Physics, 2018 (8). Art. No. 144. ISSN 1126-6708. doi:10.1007/JHEP08(2018)144.

[img] PDF - Published Version
Creative Commons Attribution.

[img] PDF - Submitted Version
See Usage Policy.


Use this Persistent URL to link to this item:


It is conjectured that in the geometric formulation of quantum computing, one can study quantum complexity through classical entropy of statistical ensembles established non-relativistically in the group manifold of unitary operators. The kinetic and positional decompositions of statistical entropy are conjectured to correspond to the Kolmogorov complexity and computational complexity, respectively, of corresponding quantum circuits. In this paper, we claim that by applying the virial theorem to the group manifold, one can derive a generic relation between Kolmogorov complexity and computational complexity in the thermal equilibrium.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Bao, Ning0000-0002-3296-1039
Liu, Junyu0000-0003-1669-8039
Additional Information:© The Author(s) 2018. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: May 16, 2018; Revised: July 30, 2018; Accepted: August 20, 2018; Published: August 23, 2018. We thank Elizabeth Crosson, Beni Yoshida, Nicole Yunger Halpern and Shangnan Zhou for helpful discussions. We thank the anonymous JHEP referee for valuable communications. NB is supported by the National Science Foundation, under grant number 82248-13067-44-PHPXH. JL is supported in part by the Institute for Quantum Information and Matter (IQIM), an NSF Physics Frontiers Center (NSF Grant PHY-1125565) with support from the Gordon and Betty Moore Foundation (GBMF-2644), and by the Walter Burke Institute for Theoretical Physics.
Group:Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Gordon and Betty Moore FoundationGBMF-2644
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Subject Keywords:AdS-CFT Correspondence, Black Holes, Random Systems
Issue or Number:8
Record Number:CaltechAUTHORS:20180823-140218375
Persistent URL:
Official Citation:Bao, N. & Liu, J. J. High Energ. Phys. (2018) 2018: 144.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:89094
Deposited By: Tony Diaz
Deposited On:23 Aug 2018 21:10
Last Modified:16 Nov 2021 00:32

Repository Staff Only: item control page