Quantum Metropolis sampling
APA
Temme, K. (2010). Quantum Metropolis sampling. Perimeter Institute. https://pirsa.org/10110060
MLA
Temme, Kristan. Quantum Metropolis sampling. Perimeter Institute, Nov. 10, 2010, https://pirsa.org/10110060
BibTex
@misc{ pirsa_PIRSA:10110060, doi = {10.48660/10110060}, url = {https://pirsa.org/10110060}, author = {Temme, Kristan}, keywords = {Quantum Information}, language = {en}, title = {Quantum Metropolis sampling}, publisher = {Perimeter Institute}, year = {2010}, month = {nov}, note = {PIRSA:10110060 see, \url{https://pirsa.org}} }
IBM (United States)
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Abstract
Quantum computers have emerged as the natural architecture to study the physics of strongly correlated many-body quantum systems, thus providing a major new impetus to the field of many-body quantum physics. While the method of choice for simulating classical many-body systems has long since been the ubiquitous Monte Carlo method, the formulation of a generalization of this method to the quantum regime has been impeded by the fundamental peculiarities of quantum mechanics, including, interference effects and the no-cloning theorem.
We overcome those difficulties by constructing a quantum algorithm to sample from the Gibbs distribution of a quantum Hamiltonian at arbitrary temperatures, both for bosonic and fermionic systems. This is a further step in validating the quantum computer as a full quantum simulator, with a wealth of possible applications to quantum chemistry, condensed matter physics and high energy physics.