Thermodynamic bound on quantum state discrimination
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917571154935808 |
|---|---|
| author | Polo-Gómez, José |
| author_facet | Polo-Gómez, José |
| contents | We show that the second law of thermodynamics poses a restriction on how well we can discriminate between quantum states. By examining an ideal gas with a quantum internal degree of freedom undergoing a cycle based on a proposal by Asher Peres, we establish a non-trivial upper bound on the attainable accuracy of quantum state discrimination. This thermodynamic bound, which relies solely on the linearity of quantum mechanics and the constraint of no work extraction, matches Holevo's bound on accessible information, but is looser than the Holevo-Helstrom bound. The result gives more evidence on the disagreement between thermodynamic entropy and von Neumann entropy, and places potential limitations on proposals beyond quantum mechanics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_07356 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Thermodynamic bound on quantum state discrimination Polo-Gómez, José Quantum Physics We show that the second law of thermodynamics poses a restriction on how well we can discriminate between quantum states. By examining an ideal gas with a quantum internal degree of freedom undergoing a cycle based on a proposal by Asher Peres, we establish a non-trivial upper bound on the attainable accuracy of quantum state discrimination. This thermodynamic bound, which relies solely on the linearity of quantum mechanics and the constraint of no work extraction, matches Holevo's bound on accessible information, but is looser than the Holevo-Helstrom bound. The result gives more evidence on the disagreement between thermodynamic entropy and von Neumann entropy, and places potential limitations on proposals beyond quantum mechanics. |
| title | Thermodynamic bound on quantum state discrimination |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2306.07356 |