Complete Positivity of Subsystems in Quantum Dynamics
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912908598837248 |
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| author | Mukhopadhyay, Anumita Ghosh, Praggnyamita Roy, Shibdas |
| author_facet | Mukhopadhyay, Anumita Ghosh, Praggnyamita Roy, Shibdas |
| contents | Although many quantum channels satisfy Completely Positive Trace Preserving (CPTP) condition, there are valid quantum channels that can be non-completely positive (NCP). As memory effects can provide advantages in the dynamics of noisy quantum systems, we investigate the relative CP condition and the CP-divisibility condition of the system and environment subsystems of a joint system-environment quantum state evolving noiselessly. We show that the system and environment channels must be both CP (NCP) or CP-divisible (CP-indivisible) for the evolution in the joint system-environment space to be unitary. We illustrate our results with examples of Bell state created from $|00\rangle$, GHZ state created from $|000\rangle$, W state created from $|100\rangle$, and the partial transpose (PT) operation acting on the Bell state |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_21630 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Complete Positivity of Subsystems in Quantum Dynamics Mukhopadhyay, Anumita Ghosh, Praggnyamita Roy, Shibdas Quantum Physics Although many quantum channels satisfy Completely Positive Trace Preserving (CPTP) condition, there are valid quantum channels that can be non-completely positive (NCP). As memory effects can provide advantages in the dynamics of noisy quantum systems, we investigate the relative CP condition and the CP-divisibility condition of the system and environment subsystems of a joint system-environment quantum state evolving noiselessly. We show that the system and environment channels must be both CP (NCP) or CP-divisible (CP-indivisible) for the evolution in the joint system-environment space to be unitary. We illustrate our results with examples of Bell state created from $|00\rangle$, GHZ state created from $|000\rangle$, W state created from $|100\rangle$, and the partial transpose (PT) operation acting on the Bell state |
| title | Complete Positivity of Subsystems in Quantum Dynamics |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2507.21630 |