Title
Sampling from the Thermal Quantum Gibbs State and Evaluating Partition Functions with a Quantum Computer
Abbreviated Journal Title
Phys. Rev. Lett.
Keywords
Physics, Multidisciplinary
Abstract
We present a quantum algorithm to prepare the thermal Gibbs state of interacting quantum systems. This algorithm sets a universal upper bound D-alpha on the thermalization time of a quantum system, where D is the system's Hilbert space dimension and alpha < = 1/2 is proportional to the Helmholtz free energy density. We also derive an algorithm to evaluate the partition function of a quantum system in a time proportional to the system's thermalization time and inversely proportional to the targeted accuracy squared.
Journal Title
Physical Review Letters
Volume
103
Issue/Number
22
Publication Date
1-1-2009
Document Type
Article
Language
English
First Page
4
WOS Identifier
ISSN
0031-9007
Recommended Citation
"Sampling from the Thermal Quantum Gibbs State and Evaluating Partition Functions with a Quantum Computer" (2009). Faculty Bibliography 2000s. 2011.
https://stars.library.ucf.edu/facultybib2000/2011