Generalized geometric quantum speed limits
The attempt to gain a theoretical understanding of the concept of time in quantum mechanics has triggered significant progress towards the search for faster and more efficient quantum technologies. One of such advances consists in the interpretation of the time-energy uncertainty relations as lower...
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| Format: | Article |
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American Physical Society
2016
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| Online Access: | https://eprints.nottingham.ac.uk/40790/ |
| _version_ | 1848796134087065600 |
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| author | Pires, Diego Paiva Cianciaruso, Marco Céleri, Lucas C. Adesso, Gerardo Soares-Pinto, Diogo O. |
| author_facet | Pires, Diego Paiva Cianciaruso, Marco Céleri, Lucas C. Adesso, Gerardo Soares-Pinto, Diogo O. |
| author_sort | Pires, Diego Paiva |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | The attempt to gain a theoretical understanding of the concept of time in quantum mechanics has triggered significant progress towards the search for faster and more efficient quantum technologies. One of such advances consists in the interpretation of the time-energy uncertainty relations as lower bounds for the minimal evolution time between two distinguishable states of a quantum system, also known as quantum speed limits. We investigate how the nonuniqueness of a bona fide measure of distinguishability defined on the quantum-state space affects the quantum speed limits and can be exploited in order to derive improved bounds. Specifically, we establish an infinite family of quantum speed limits valid for unitary and nonunitary evolutions, based on an elegant information geometric formalism. Our work unifies and generalizes existing results on quantum speed limits and provides instances of novel bounds that are tighter than any established one based on the conventional quantum Fisher information. We illustrate our findings with relevant examples, demonstrating the importance of choosing different information metrics for open system dynamics, as well as clarifying the roles of classical populations versus quantum coherences, in the determination and saturation of the speed limits. Our results can find applications in the optimization and control of quantum technologies such as quantum computation and metrology, and might provide new insights in fundamental investigations of quantum thermodynamics. |
| first_indexed | 2025-11-14T19:43:09Z |
| format | Article |
| id | nottingham-40790 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:43:09Z |
| publishDate | 2016 |
| publisher | American Physical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-407902020-05-04T17:57:57Z https://eprints.nottingham.ac.uk/40790/ Generalized geometric quantum speed limits Pires, Diego Paiva Cianciaruso, Marco Céleri, Lucas C. Adesso, Gerardo Soares-Pinto, Diogo O. The attempt to gain a theoretical understanding of the concept of time in quantum mechanics has triggered significant progress towards the search for faster and more efficient quantum technologies. One of such advances consists in the interpretation of the time-energy uncertainty relations as lower bounds for the minimal evolution time between two distinguishable states of a quantum system, also known as quantum speed limits. We investigate how the nonuniqueness of a bona fide measure of distinguishability defined on the quantum-state space affects the quantum speed limits and can be exploited in order to derive improved bounds. Specifically, we establish an infinite family of quantum speed limits valid for unitary and nonunitary evolutions, based on an elegant information geometric formalism. Our work unifies and generalizes existing results on quantum speed limits and provides instances of novel bounds that are tighter than any established one based on the conventional quantum Fisher information. We illustrate our findings with relevant examples, demonstrating the importance of choosing different information metrics for open system dynamics, as well as clarifying the roles of classical populations versus quantum coherences, in the determination and saturation of the speed limits. Our results can find applications in the optimization and control of quantum technologies such as quantum computation and metrology, and might provide new insights in fundamental investigations of quantum thermodynamics. American Physical Society 2016-06-02 Article PeerReviewed Pires, Diego Paiva, Cianciaruso, Marco, Céleri, Lucas C., Adesso, Gerardo and Soares-Pinto, Diogo O. (2016) Generalized geometric quantum speed limits. Physical Review X, 6 . 21031/1-21031/19. ISSN 2160-3308 Quantum physics Quantum information http://journals.aps.org/prx/abstract/10.1103/PhysRevX.6.021031 doi:10.1103/PhysRevX.6.021031 doi:10.1103/PhysRevX.6.021031 |
| spellingShingle | Quantum physics Quantum information Pires, Diego Paiva Cianciaruso, Marco Céleri, Lucas C. Adesso, Gerardo Soares-Pinto, Diogo O. Generalized geometric quantum speed limits |
| title | Generalized geometric quantum speed limits |
| title_full | Generalized geometric quantum speed limits |
| title_fullStr | Generalized geometric quantum speed limits |
| title_full_unstemmed | Generalized geometric quantum speed limits |
| title_short | Generalized geometric quantum speed limits |
| title_sort | generalized geometric quantum speed limits |
| topic | Quantum physics Quantum information |
| url | https://eprints.nottingham.ac.uk/40790/ https://eprints.nottingham.ac.uk/40790/ https://eprints.nottingham.ac.uk/40790/ |