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...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2017-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/aa8cef |
| _version_ | 1827873208236244992 |
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| author | Maximilian Keck Simone Montangero Giuseppe E Santoro Rosario Fazio Davide Rossini |
| author_facet | Maximilian Keck Simone Montangero Giuseppe E Santoro Rosario Fazio Davide Rossini |
| author_sort | Maximilian Keck |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-12T16:35:10Z |
| format | Article |
| id | doaj.art-19492e98d82346de8cf36acd39a32d48 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:35:10Z |
| publishDate | 2017-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-19492e98d82346de8cf36acd39a32d482023-08-08T14:55:42ZengIOP PublishingNew Journal of Physics1367-26302017-01-01191111302910.1088/1367-2630/aa8cefDissipation in adiabatic quantum computers: lessons from an exactly solvable modelMaximilian Keck0https://orcid.org/0000-0002-1551-4341Simone Montangero1Giuseppe E Santoro2Rosario Fazio3Davide Rossini4https://orcid.org/0000-0002-9222-1913NEST, Scuola Normale Superiore and Istituto Nanoscienze-CNR, I-56126 Pisa, ItalyTheoretische Physik, Universität des Saarlandes , D-66123 Saarbrücken, Germany; Institute for Complex Quantum Systems & Center for Integrated Quantum Science and Technologies, Universität Ulm , D-89069 Ulm, GermanySISSA, Via Bonomea 265, I-34151 Trieste, Italy; ICTP, Strada Costiera 11, I-34151 Trieste, ItalyNEST, Scuola Normale Superiore and Istituto Nanoscienze-CNR, I-56126 Pisa, Italy; ICTP, Strada Costiera 11, I-34151 Trieste, ItalyNEST, Scuola Normale Superiore and Istituto Nanoscienze-CNR, I-56126 Pisa, Italy; Dipartimento di Fisica, Università di Pisa and INFN , Largo Pontecorvo 3, I-56127 Pisa, ItalyWe 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.https://doi.org/10.1088/1367-2630/aa8cefquantum annealingadiabatic quantum computationopen quantum dynamics |
| spellingShingle | Maximilian Keck Simone Montangero Giuseppe E Santoro Rosario Fazio Davide Rossini Dissipation in adiabatic quantum computers: lessons from an exactly solvable model New Journal of Physics quantum annealing adiabatic quantum computation open quantum dynamics |
| title | Dissipation in adiabatic quantum computers: lessons from an exactly solvable model |
| title_full | Dissipation in adiabatic quantum computers: lessons from an exactly solvable model |
| title_fullStr | Dissipation in adiabatic quantum computers: lessons from an exactly solvable model |
| title_full_unstemmed | Dissipation in adiabatic quantum computers: lessons from an exactly solvable model |
| title_short | Dissipation in adiabatic quantum computers: lessons from an exactly solvable model |
| title_sort | dissipation in adiabatic quantum computers lessons from an exactly solvable model |
| topic | quantum annealing adiabatic quantum computation open quantum dynamics |
| url | https://doi.org/10.1088/1367-2630/aa8cef |
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