| 発行・発表の年月 | 2023/04 |
|---|---|
| 形態種別 | 【論文】研究論文（学術雑誌）＜査読あり＞ |
| 査読 | 査読あり |
| 標題 | Programming of channels in generalized probabilistic theories |
| 執筆形態 | 【共著】共著 |
| 掲載誌名 | Journal of Mathematical Physics |
| 巻・号・頁 | 64(4) |
| 著者・共著者 | Takayuki Miyadera,Ryo Takakura |
| 概要 | For a given target system and apparatus described by quantum theory, the
so-called quantum no-programming theorem indicates that a family of states called programs in the apparatus with a fixed unitary operation on the total system programs distinct unitary dynamics to the target system only if the initial programs are orthogonal to each other. The current study aims at revealing whether a similar behavior can be observed in generalized probabilistic theories (GPTs). Generalizing the programming scheme to GPTs, we derive a similar theorem to the quantum no-programming theorem. We furthermore demonstrate that programming of reversible dynamics is related closely to a curious structure named a quasi-classical structure on the state space. Programming of irreversible dynamics, i.e., channels in GPTs is also investigated. |
| DOI | 10.1063/5.0101198 |
| ISSNコード | 0022-2488 |
| arXiv ID | arXiv:2205.08940 |
| PermalinkURL | http://arxiv.org/abs/2205.08940v2 |
| researchmap用URL | http://arxiv.org/pdf/2205.08940v2 |