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2018

Product Spectrum Ansatz and the Simplicity of Thermal States

Martyn, John, Swingle, Brian

Understand

Calculating the physical properties of quantum thermal states is a difficult problem for classical computers, rendering it intractable for most quantum many-body systems.

A quantum computer, by contrast, would make many of these calculations feasible in principle, but it is still non-trivial to prepare a given thermal state or sample from it.
It is also not known how to prepare special simple purifications of thermal states known as thermofield doubles, which play an important role in quantum many-body physics and quantum gravity.
To address this problem, we propose a variational scheme to prepare approximate thermal states on a quantum computer by applying a series of two-qubit gates to a product mixed state.

Built on

W. Israel, Physics Letters A 57
1976
Earlier work this paper cites.
O. Bohigas, M. J. Giannoni, and C. Schmit, Phys. Rev. Lett. 52
1984
Earlier work this paper cites.
J. M. Deutsch, Physical Review A 43
1991
Earlier work this paper cites.
S. Sachdev and J. Ye, Phys. Rev. Lett. 70
1993
Earlier work this paper cites.
M. Srednicki, Phys. Rev. E 50
1994
Earlier work this paper cites.
Y. Takahashi and H. Umezawa, International Journal of Modern Physics B 10
1996
Earlier work this paper cites.
J. Maldacena, International Journal of Theoretical Physics 38
1999
Earlier work this paper cites.
B. M. Terhal and D. P. DiVincenzo, Physical Review A 61
2000
Earlier work this paper cites.
J. Maldacena, Journal of High Energy Physics 2003
2003
Earlier work this paper cites.
J. Kempe, A. Kitaev, and O. Regev, arXiv e-prints , quant-ph/0406180 (2004), arXiv:quant-ph/0406180 [quant-ph]
2004
Earlier work this paper cites.
G. Evenbly and G. Vidal, Physical Review B 79
Original
2009
Earlier work this paper cites.
M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2010)
2010
Earlier work this paper cites.
E. Bilgin and S. Boixo, Phys. Rev. Lett. 105
Original
2010
Earlier work this paper cites.
K. Temme, T. J. Osborne, K. G. Vollbrecht, D. Poulin, and F. Verstraete, Nature (London) 471
Original
2011
Earlier work this paper cites.
U. Schollwöck, Annals of Physics 326
Original
2011
Earlier work this paper cites.
A. Riera, C. Gogolin, and J. Eisert, Phys. Rev. Lett. 108
Original
2012
Earlier work this paper cites.