Gaussian time-translation covariant operations: structure, implementation, and thermodynamics
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arXiv
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| Auteurs principaux: | , , , , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866912804054761472 |
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| author | Hu, Xueyuan Lautenbacher, Lea Spaventa, Giovanni Plenio, Martin B. Ng, Nelly H. Y. Son, Jeongrak |
| author_facet | Hu, Xueyuan Lautenbacher, Lea Spaventa, Giovanni Plenio, Martin B. Ng, Nelly H. Y. Son, Jeongrak |
| contents | Time-translation symmetry strongly constrains physical dynamics, yet systematic characterization for continuous-variable systems lags behind its discrete-variable counterpart. We close this gap by providing a rigorous classification of Gaussian quantum operations that are covariant under time translations, termed Gaussian covariant operations. We show that several key results known for discrete-variable covariant operations break down in the Gaussian optical setting: discrepancies arise in physical and thermodynamic implementation, in the extensivity of asymmetry, and in catalytic advantages. Our results provide comprehensive mathematical and operational toolkits for Gaussian covariant operations, including a peculiar pair of asymmetry measures that are completely non-extensive. Our findings also reveal surprising consequences of the interplay among symmetry, Gaussianity, and thermodynamic constraints, suggesting that real-world scenarios with multiple constraints have a rich structure not accessible from examining individual constraints separately. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_02471 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Gaussian time-translation covariant operations: structure, implementation, and thermodynamics Hu, Xueyuan Lautenbacher, Lea Spaventa, Giovanni Plenio, Martin B. Ng, Nelly H. Y. Son, Jeongrak Quantum Physics Time-translation symmetry strongly constrains physical dynamics, yet systematic characterization for continuous-variable systems lags behind its discrete-variable counterpart. We close this gap by providing a rigorous classification of Gaussian quantum operations that are covariant under time translations, termed Gaussian covariant operations. We show that several key results known for discrete-variable covariant operations break down in the Gaussian optical setting: discrepancies arise in physical and thermodynamic implementation, in the extensivity of asymmetry, and in catalytic advantages. Our results provide comprehensive mathematical and operational toolkits for Gaussian covariant operations, including a peculiar pair of asymmetry measures that are completely non-extensive. Our findings also reveal surprising consequences of the interplay among symmetry, Gaussianity, and thermodynamic constraints, suggesting that real-world scenarios with multiple constraints have a rich structure not accessible from examining individual constraints separately. |
| title | Gaussian time-translation covariant operations: structure, implementation, and thermodynamics |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2601.02471 |