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In this paper we develop a quantum algorithm to realize finite temperature simulation on a quantum computer.
On a new method in the theory of superconductivity
N. N. Bogoljubov · 1958
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Finite Dimensional Quantum Mechanics of a Particle
R. Jagannathan, T. S. Santhanam, and R. Vasudevan · 1981
Earlier work this paper cites.
Supersymmetry and Finite Temperature
Ashok K. Das · 1989
Earlier work this paper cites.
Thermo field dynamics
Y. Takahashi and H. Umezawa · 1996
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The discrete harmonic oscillator, harper’s equation, and the discrete fractional fourier transform
Laurence Barker, Ãagatay Candan, Tugrul Hakioglu, M Alper Kutay, and Haldun M Ozaktas · 2000
Earlier work this paper cites.
Continuous vs. discrete models for the quantum harmonic oscillator and the hydrogen atom
M. Lorente · 2001
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A discrete quantum model of the harmonic oscillator
N. M. Atakishiyev, A. U. Klimyk, and K. B. Wolf · 2008
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A variational eigenvalue solver on a quantum processor
A. Peruzzo, J. McClean, P. Shadbolt, M. Yung, X. Zhou, P. J. Love, A. Aspuru-Guzik, and J. L. O’Brien · 2013
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Mixed s-sourcery: Building many-body states using bubbles of Nothing
Brian Swingle and John McGreevy · 2016
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Modeling Position and Momentum in Finite-Dimensional Hilbert Spaces via Generalized Clifford Algebra
Ashmeet Singh and Sean M. Carroll · 2018
Cited alongside, same era.
How to Build the Thermofield Double State
William Cottrell, Ben Freivogel, Diego M. Hofman, and Sagar F. Lokhande · 2018
Later among the works it cites.
Variational Thermal Quantum Simulation via Thermofield Double States
Jingxiang Wu and Timothy H. Hsieh · 2018
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Quantum computation and visualization of hamiltonians using discrete quantum mechanics and ibm qiskit
R. Miceli and M. McGuigan · 2018
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Eternal traversable wormhole
Juan Maldacena and Xiao-Liang Qi · 2018
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Qiskit: An open-source framework for quantum computing, 2019
Gadi Aleksandrowicz, Thomas Alexander, et al · 2019
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