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Quantum algorithm for preparing thermal Gibbs states

University of British Columbia. Department of Physics and Astronomy; Workshop on Quantum Algorithms, Computational Models and Foundations of Quantum Mechanics; Pacific Institute for the Mathematical Sciences; Summer School on Quantum Information (10th : 2010 : Vancouver, B.C.)

We present a quantum algorithm for preparing thermal Gibbs states of interacting quantum systems. This algorithm is based on Grover’s technique for quantum state engineering, and its running time is dominated by the factor sqrt{D/Z}, where D and Z_beta denote the dimension of the quantum system and its partition function at inverse temperature beta, respectively. We discuss the differences between this algorithm and quantum Metropolis sampling (see the presentation by David Poulin) and outline the analysis of the errors that arise due to imperfect simulation of Hamiltonian time evolutions and limited performance of phase estimation (finite accuracy and nonzero probability of failure).

Text; Moving Image

2016-11-22

Attribution-NonCommercial-NoDerivatives 4.0 International

http://hdl.handle.net/2429/30076

Reviewed

http://creativecommons.org/licenses/by-nc-nd/4.0/