Quantum speed limits on operator flows and correlation functions
Quantum speed limits (QSLs) identify fundamental time scales of physical processes by providing lower bounds on the rate of change of a quantum state or the expectation value of an observable. We introduce a generalization of QSL for unitary operator flows, which are ubiquitous in physics and releva...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
2022-12-01
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| Series: | Quantum |
| Online Access: | https://quantum-journal.org/papers/q-2022-12-22-884/pdf/ |
| _version_ | 1797979004249047040 |
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| author | Nicoletta Carabba Niklas Hörnedal Adolfo del Campo |
| author_facet | Nicoletta Carabba Niklas Hörnedal Adolfo del Campo |
| author_sort | Nicoletta Carabba |
| collection | DOAJ |
| description | Quantum speed limits (QSLs) identify fundamental time scales of physical processes by providing lower bounds on the rate of change of a quantum state or the expectation value of an observable. We introduce a generalization of QSL for unitary operator flows, which are ubiquitous in physics and relevant for applications in both the quantum and classical domains. We derive two types of QSLs and assess the existence of a crossover between them, that we illustrate with a qubit and a random matrix Hamiltonian, as canonical examples. We further apply our results to the time evolution of autocorrelation functions, obtaining computable constraints on the linear dynamical response of quantum systems out of equilibrium and the quantum Fisher information governing the precision in quantum parameter estimation. |
| first_indexed | 2024-04-11T05:32:04Z |
| format | Article |
| id | doaj.art-f18c5ef986f94edfbb721ebc313877ef |
| institution | Directory Open Access Journal |
| issn | 2521-327X |
| language | English |
| last_indexed | 2024-04-11T05:32:04Z |
| publishDate | 2022-12-01 |
| publisher | Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften |
| record_format | Article |
| series | Quantum |
| spelling | doaj.art-f18c5ef986f94edfbb721ebc313877ef2022-12-22T17:01:40ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2022-12-01688410.22331/q-2022-12-22-88410.22331/q-2022-12-22-884Quantum speed limits on operator flows and correlation functionsNicoletta CarabbaNiklas HörnedalAdolfo del CampoQuantum speed limits (QSLs) identify fundamental time scales of physical processes by providing lower bounds on the rate of change of a quantum state or the expectation value of an observable. We introduce a generalization of QSL for unitary operator flows, which are ubiquitous in physics and relevant for applications in both the quantum and classical domains. We derive two types of QSLs and assess the existence of a crossover between them, that we illustrate with a qubit and a random matrix Hamiltonian, as canonical examples. We further apply our results to the time evolution of autocorrelation functions, obtaining computable constraints on the linear dynamical response of quantum systems out of equilibrium and the quantum Fisher information governing the precision in quantum parameter estimation.https://quantum-journal.org/papers/q-2022-12-22-884/pdf/ |
| spellingShingle | Nicoletta Carabba Niklas Hörnedal Adolfo del Campo Quantum speed limits on operator flows and correlation functions Quantum |
| title | Quantum speed limits on operator flows and correlation functions |
| title_full | Quantum speed limits on operator flows and correlation functions |
| title_fullStr | Quantum speed limits on operator flows and correlation functions |
| title_full_unstemmed | Quantum speed limits on operator flows and correlation functions |
| title_short | Quantum speed limits on operator flows and correlation functions |
| title_sort | quantum speed limits on operator flows and correlation functions |
| url | https://quantum-journal.org/papers/q-2022-12-22-884/pdf/ |
| work_keys_str_mv | AT nicolettacarabba quantumspeedlimitsonoperatorflowsandcorrelationfunctions AT niklashornedal quantumspeedlimitsonoperatorflowsandcorrelationfunctions AT adolfodelcampo quantumspeedlimitsonoperatorflowsandcorrelationfunctions |