Dissipation in adiabatic quantum computers: lessons from an exactly solvable model

We introduce and study the adiabatic dynamics of free-fermion models subject to a local Lindblad bath and in the presence of a time-dependent Hamiltonian. The merit of these models is that they can be solved exactly, and will help us to study the interplay between nonadiabatic transitions and dissip...

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Published inNew journal of physics Vol. 19; no. 11; pp. 113029 - 113047
Main Authors Keck, Maximilian, Montangero, Simone, Santoro, Giuseppe E, Fazio, Rosario, Rossini, Davide
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 16.11.2017
Subjects
Adiabatic flow
adiabatic quantum computation
Computer simulation
Fermions
Ising model
open quantum dynamics
Phenomenology
Physics
quantum annealing
Quantum computers
Time dependence
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Abstract We introduce and study the adiabatic dynamics of free-fermion models subject to a local Lindblad bath and in the presence of a time-dependent Hamiltonian. The merit of these models is that they can be solved exactly, and will help us to study the interplay between nonadiabatic transitions and dissipation in many-body quantum systems. After the adiabatic evolution, we evaluate the excess energy (the average value of the Hamiltonian) as a measure of the deviation from reaching the final target ground state. We compute the excess energy in a variety of different situations, where the nature of the bath and the Hamiltonian is modified. We find robust evidence of the fact that an optimal working time for the quantum annealing protocol emerges as a result of the competition between the nonadiabatic effects and the dissipative processes. We compare these results with the matrix-product-operator simulations of an Ising system and show that the phenomenology we found also applies for this more realistic case.
AbstractList We introduce and study the adiabatic dynamics of free-fermion models subject to a local Lindblad bath and in the presence of a time-dependent Hamiltonian. The merit of these models is that they can be solved exactly, and will help us to study the interplay between nonadiabatic transitions and dissipation in many-body quantum systems. After the adiabatic evolution, we evaluate the excess energy (the average value of the Hamiltonian) as a measure of the deviation from reaching the final target ground state. We compute the excess energy in a variety of different situations, where the nature of the bath and the Hamiltonian is modified. We find robust evidence of the fact that an optimal working time for the quantum annealing protocol emerges as a result of the competition between the nonadiabatic effects and the dissipative processes. We compare these results with the matrix-product-operator simulations of an Ising system and show that the phenomenology we found also applies for this more realistic case.
Author Fazio, Rosario
Santoro, Giuseppe E
Keck, Maximilian
Montangero, Simone
Rossini, Davide
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  fullname: Keck, Maximilian
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  orcidid: 0000-0002-9222-1913
  surname: Rossini
  fullname: Rossini, Davide
  organization: Università di Pisa and INFN Dipartimento di Fisica, Largo Pontecorvo 3, I-56127 Pisa, Italy
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Snippet We introduce and study the adiabatic dynamics of free-fermion models subject to a local Lindblad bath and in the presence of a time-dependent Hamiltonian. The...
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StartPage 113029
SubjectTerms Adiabatic flow
adiabatic quantum computation
Computer simulation
Fermions
Ising model
open quantum dynamics
Phenomenology
Physics
quantum annealing
Quantum computers
Time dependence
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Title Dissipation in adiabatic quantum computers: lessons from an exactly solvable model
URI https://iopscience.iop.org/article/10.1088/1367-2630/aa8cef
https://www.proquest.com/docview/2312604602
https://doaj.org/article/19492e98d82346de8cf36acd39a32d48
Volume 19
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