dorsal/arxiv
View SchemaOperations and single particle interferometry
| Authors | Johan Aberg |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0312132 |
| URL | https://arxiv.org/abs/quant-ph/0312132 |
| DOI | 10.1103/PhysRevA.70.012103 |
| Journal | Phys. Rev. A, Vol. 70, 012103 (2004) |
Abstract
Interferometry of single particles with internal degrees of freedom is investigated. We discuss the interference patterns obtained when an internal state evolution device is inserted into one or both the paths of the interferometer. The interference pattern obtained is not uniquely determined by the completely positive maps (CPMs) that describe how the devices evolve the internal state of a particle. By using the concept of gluing of CPMs, we investigate the structure of all possible interference patterns obtainable for given trace preserving internal state CPMs. We discuss what can be inferred about the gluing, given a sufficiently rich set of interference experiments. It is shown that the standard interferometric setup is limited in its abilities to distinguish different gluings. A generalized interferometric setup is introduced with the capacity to distinguish all gluings. We also connect to another approach using the well known fact that channels can be realized using a joint unitary evolution of the system and an ancillary system. We deduce the set of all such unitary `representations' and relate the structure of this set to gluings and interference phenomena.
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"abstract": "Interferometry of single particles with internal degrees of freedom is\ninvestigated. We discuss the interference patterns obtained when an internal\nstate evolution device is inserted into one or both the paths of the\ninterferometer. The interference pattern obtained is not uniquely determined by\nthe completely positive maps (CPMs) that describe how the devices evolve the\ninternal state of a particle. By using the concept of gluing of CPMs, we\ninvestigate the structure of all possible interference patterns obtainable for\ngiven trace preserving internal state CPMs. We discuss what can be inferred\nabout the gluing, given a sufficiently rich set of interference experiments. It\nis shown that the standard interferometric setup is limited in its abilities to\ndistinguish different gluings. A generalized interferometric setup is\nintroduced with the capacity to distinguish all gluings. We also connect to\nanother approach using the well known fact that channels can be realized using\na joint unitary evolution of the system and an ancillary system. We deduce the\nset of all such unitary `representations\u0027 and relate the structure of this set\nto gluings and interference phenomena.",
"arxiv_id": "quant-ph/0312132",
"authors": [
"Johan Aberg"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.70.012103",
"journal_ref": "Phys. Rev. A, Vol. 70, 012103 (2004)",
"title": "Operations and single particle interferometry",
"url": "https://arxiv.org/abs/quant-ph/0312132"
},
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