Banks, Robert J;
Raftis, Georgios S;
Browne, Dan E;
Warburton, PA;
(2025)
Continuous-time quantum optimization without the adiabatic principle.
Physical Review A
, 111
(3)
, Article 032414. 10.1103/physreva.111.032414.
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Abstract
Continuous-time quantum algorithms for combinatorial optimization problems, such as quantum annealing, have previously been motivated by the adiabatic principle. A number of continuous-time approaches exploit dynamics, however, and therefore are no longer physically motivated by the adiabatic principle. In this work, we take Planck's principle as the underlying physical motivation for continuous-time quantum algorithms. Planck's principle states that the energy of an isolated system cannot decrease as the result of a cyclic process. We use this principle to justify monotonic schedules in quantum annealing, which are not adiabatic. This approach also highlights the limitations of reverse quantum annealing in an isolated system. Published by the American Physical Society 2025
| Type: | Article |
|---|---|
| Title: | Continuous-time quantum optimization without the adiabatic principle |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1103/physreva.111.032414 |
| Publisher version: | https://doi.org/10.1103/physreva.111.032414 |
| Language: | English |
| Additional information: | Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > London Centre for Nanotechnology |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10206674 |
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