Quantum speed limits for change of basis
Quantum speed limits provide ultimate bounds on the time required to transform one quantum state into another. Here, we introduce a novel notion of quantum speed limits for collections of quantum states, investigating the time for converting a basis of states into an unbiased one as well as basis pe...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2024-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/ad25a5 |
| _version_ | 1797294821788876800 |
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| author | Moein Naseri Chiara Macchiavello Dagmar Bruß Paweł Horodecki Alexander Streltsov |
| author_facet | Moein Naseri Chiara Macchiavello Dagmar Bruß Paweł Horodecki Alexander Streltsov |
| author_sort | Moein Naseri |
| collection | DOAJ |
| description | Quantum speed limits provide ultimate bounds on the time required to transform one quantum state into another. Here, we introduce a novel notion of quantum speed limits for collections of quantum states, investigating the time for converting a basis of states into an unbiased one as well as basis permutation. Establishing an unbiased basis, we provide tight bounds for the systems of dimension smaller than 5, and general bounds for multi-qubit systems and the Hilbert space dimension d . For two-qubit systems, we show that the fastest transformation implements two Hadamards and a swap of the qubits simultaneously. We further prove that for qutrit systems the evolution time depends on the particular type of the unbiased basis. Permuting a basis, we obtain the exact expression for the Hilbert space of dimension d . We also investigate speed limits for coherence generation, providing the minimal time to establish a certain amount of coherence with a unitary evolution. |
| first_indexed | 2024-03-07T21:37:24Z |
| format | Article |
| id | doaj.art-419007816d0c4fccb634f567dd64768c |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-07T21:37:24Z |
| publishDate | 2024-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-419007816d0c4fccb634f567dd64768c2024-02-26T11:39:37ZengIOP PublishingNew Journal of Physics1367-26302024-01-0126202305210.1088/1367-2630/ad25a5Quantum speed limits for change of basisMoein Naseri0https://orcid.org/0000-0001-9456-4621Chiara Macchiavello1https://orcid.org/0000-0002-2955-8759Dagmar Bruß2https://orcid.org/0000-0003-4661-2267Paweł Horodecki3https://orcid.org/0000-0002-3233-1336Alexander Streltsov4https://orcid.org/0000-0002-7742-5731Centre for Quantum Optical Technologies IRAU, Centre of New Technologies, University of Warsaw , Warsaw, PolandDipartimento di Fisica, Università di Pavia , via Bassi 6, I-27100 Pavia, Italy; INFN Sezione di Pavia , via Bassi 6, I-27100 Pavia, ItalyInstitut für Theoretische Physik III, Heinrich-Heine-Universität Düsseldorf , D-40225 Düsseldorf, GermanyInternational Centre for Theory of Quantum Technologies, University of Gdańsk , Wita Stwosza 63, 80-308 Gdańsk, Poland; Faculty of Applied Physics and Mathematics, National Quantum Information Centre , Gdańsk University of Technology, Gabriela Narutowicza 11/12, 80-233 Gdańsk, PolandCentre for Quantum Optical Technologies IRAU, Centre of New Technologies, University of Warsaw , Warsaw, PolandQuantum speed limits provide ultimate bounds on the time required to transform one quantum state into another. Here, we introduce a novel notion of quantum speed limits for collections of quantum states, investigating the time for converting a basis of states into an unbiased one as well as basis permutation. Establishing an unbiased basis, we provide tight bounds for the systems of dimension smaller than 5, and general bounds for multi-qubit systems and the Hilbert space dimension d . For two-qubit systems, we show that the fastest transformation implements two Hadamards and a swap of the qubits simultaneously. We further prove that for qutrit systems the evolution time depends on the particular type of the unbiased basis. Permuting a basis, we obtain the exact expression for the Hilbert space of dimension d . We also investigate speed limits for coherence generation, providing the minimal time to establish a certain amount of coherence with a unitary evolution.https://doi.org/10.1088/1367-2630/ad25a5quantum speedlimitspeedlimit for change of basisquantum coherenceunbiased basisspeedlimits for resource generation |
| spellingShingle | Moein Naseri Chiara Macchiavello Dagmar Bruß Paweł Horodecki Alexander Streltsov Quantum speed limits for change of basis New Journal of Physics quantum speedlimit speedlimit for change of basis quantum coherence unbiased basis speedlimits for resource generation |
| title | Quantum speed limits for change of basis |
| title_full | Quantum speed limits for change of basis |
| title_fullStr | Quantum speed limits for change of basis |
| title_full_unstemmed | Quantum speed limits for change of basis |
| title_short | Quantum speed limits for change of basis |
| title_sort | quantum speed limits for change of basis |
| topic | quantum speedlimit speedlimit for change of basis quantum coherence unbiased basis speedlimits for resource generation |
| url | https://doi.org/10.1088/1367-2630/ad25a5 |
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