Entanglement and Optimal Timing in Discriminating Quantum Dynamical Processes
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866918238542102528 |
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| author | Sacchi, Massimiliano F. |
| author_facet | Sacchi, Massimiliano F. |
| contents | I investigate the problem of optimally discriminating between two open quantum dynamical processes in a single-shot scenario, with the goal of minimizing the error probability of identification. This task involves optimising both the input state -- potentially entangled with an ancillary system that remains isolated from the dynamics -- and the time at which the resulting time-dependent quantum channels, induced by the two distinct dynamical maps, becomes most distinguishable. To illustrate the complexity and richness of this problem, I focus on Pauli dynamical maps and their associated families of time-dependent Pauli channels. I identify a regime in which separable strategies require waiting indefinitely for the dynamics to reach the stationary state, whereas entangled input states enable optimal discrimination at a finite time, with a strict reduction in error probability. These results highlight the crucial interplay between entanglement and timing in enhancing the distinguishability of quantum dynamical processes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_00747 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Entanglement and Optimal Timing in Discriminating Quantum Dynamical Processes Sacchi, Massimiliano F. Quantum Physics I investigate the problem of optimally discriminating between two open quantum dynamical processes in a single-shot scenario, with the goal of minimizing the error probability of identification. This task involves optimising both the input state -- potentially entangled with an ancillary system that remains isolated from the dynamics -- and the time at which the resulting time-dependent quantum channels, induced by the two distinct dynamical maps, becomes most distinguishable. To illustrate the complexity and richness of this problem, I focus on Pauli dynamical maps and their associated families of time-dependent Pauli channels. I identify a regime in which separable strategies require waiting indefinitely for the dynamics to reach the stationary state, whereas entangled input states enable optimal discrimination at a finite time, with a strict reduction in error probability. These results highlight the crucial interplay between entanglement and timing in enhancing the distinguishability of quantum dynamical processes. |
| title | Entanglement and Optimal Timing in Discriminating Quantum Dynamical Processes |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2504.00747 |