dorsal/arxiv
View SchemaPhysical accessible transformations on a finite number of quantum states
| Authors | Xiang-Fa Zhou, Qing Lin, Yong-Sheng Zhang, Guang-Can Guo |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0611096 |
| URL | https://arxiv.org/abs/quant-ph/0611096 |
| DOI | 10.1103/PhysRevA.75.012321 |
Abstract
We consider to treat the usual probabilistic cloning, state separation, unambiguous state discrimination, \emph{etc} in a uniform framework. All these transformations can be regarded as special examples of generalized completely positive trace non-increasing maps on a finite number of input states. From the system-ancilla model we construct the corresponding unitary implementation of pure $\to$ pure, pure $\to$ mixed, mixed $\to$ pure, and mixed $\to$ mixed states transformations in the whole system and obtain the necessary and sufficient conditions on the existence of the desired maps. We expect our work will be helpful to explore what we can do on a finite set of input states.
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"date_created": "2026-03-02T18:02:30.925000Z",
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"abstract": "We consider to treat the usual probabilistic cloning, state separation,\nunambiguous state discrimination, \\emph{etc} in a uniform framework. All these\ntransformations can be regarded as special examples of generalized completely\npositive trace non-increasing maps on a finite number of input states. From the\nsystem-ancilla model we construct the corresponding unitary implementation of\npure $\\to$ pure, pure $\\to$ mixed, mixed $\\to$ pure, and mixed $\\to$ mixed\nstates transformations in the whole system and obtain the necessary and\nsufficient conditions on the existence of the desired maps. We expect our work\nwill be helpful to explore what we can do on a finite set of input states.",
"arxiv_id": "quant-ph/0611096",
"authors": [
"Xiang-Fa Zhou",
"Qing Lin",
"Yong-Sheng Zhang",
"Guang-Can Guo"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.75.012321",
"title": "Physical accessible transformations on a finite number of quantum states",
"url": "https://arxiv.org/abs/quant-ph/0611096"
},
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"variant": "snapshot-2026-03-01",
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