Simulation of Classical Thermal States on a Quantum Computer: A Transfer Matrix Approach

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Title:	Simulation of Classical Thermal States on a Quantum Computer: A Transfer Matrix Approach
Author:	Yung, Man-Hong; Nagaj, Daniel; Whitfield, James D.; Aspuru-Guzik, Alan Note: Order does not necessarily reflect citation order of authors.
Citation:	Yung, Man-Hong, Daniel Nagaj, James D. Whitfield, and Alán Aspuru-Guzik. 2010. Simulation of classical thermal states on a quantum computer: A transfer matrix approach. Physical Review Series A 82(6): 060302(R).
Full Text & Related Files:	1005.0020v2.pdf (739.0Kb; PDF)
Abstract:	We present a hybrid quantum-classical algorithm to simulate thermal states of a classical Hamiltonians on a quantum computer. Our scheme employs a sequence of locally controlled rotations, building up the desired state by adding qubits one at a time. We identify a class of classical models for which our method is efficient and avoids potential exponential overheads encountered by Grover-like or quantum Metropolis schemes. Our algorithm also gives an exponential advantage for 2D Ising models with magnetic field on a square lattice, compared with the previously known Zalka's algorithm.
Published Version:	doi:10.1103/PhysRevA.82.060302
Other Sources:	http://arxiv.org/abs/1005.0020
Terms of Use:	This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP
Citable link to this page:	http://nrs.harvard.edu/urn-3:HUL.InstRepos:4657435

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