Energy-limited quantum dynamics
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912366761869312 |
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| author | van Luijk, Lauritz |
| author_facet | van Luijk, Lauritz |
| contents | We consider quantum systems with energy constraints relative to a reference Hamiltonian. In general, quantum channels and continuous-time dynamics need not satisfy energy conservation. Physically meaningful channels, however, only introduce a finite amount of energy to the system, and continuous-time dynamics only increase the energy gradually over time. We systematically study such "energy-limited" channels and dynamics. For Markovian dynamics, energy-limitedness is equivalent to a single operator inequality in the Heisenberg picture. We observe new submultiplicativity inequalities for the energy-constrained diamond and operator norms and use them to derive new state-dependent continuity bounds for quantum speed limits. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2405_10259 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Energy-limited quantum dynamics van Luijk, Lauritz Quantum Physics Mathematical Physics We consider quantum systems with energy constraints relative to a reference Hamiltonian. In general, quantum channels and continuous-time dynamics need not satisfy energy conservation. Physically meaningful channels, however, only introduce a finite amount of energy to the system, and continuous-time dynamics only increase the energy gradually over time. We systematically study such "energy-limited" channels and dynamics. For Markovian dynamics, energy-limitedness is equivalent to a single operator inequality in the Heisenberg picture. We observe new submultiplicativity inequalities for the energy-constrained diamond and operator norms and use them to derive new state-dependent continuity bounds for quantum speed limits. |
| title | Energy-limited quantum dynamics |
| topic | Quantum Physics Mathematical Physics |
| url | https://arxiv.org/abs/2405.10259 |