Gluing of completely positive maps
| dc.creator | Åberg, Johan | |
| dc.date | 2003-02-25 | |
| dc.date | 2003-12-16 | |
| dc.date.accessioned | 2026-07-07T06:24:55Z | |
| dc.date.available | 2026-07-07T06:24:55Z | |
| dc.description | Gluings of completely positive maps (CPMs) are defined and investigated. As a brief description of this concept consider a pair of `evolution machines', each with the ability to evolve the internal state of a `particle' inserted into its input. Each of these machines is characterized by a channel describing the operation the internal state has experienced when the particle is returned at the output. Suppose a particle is put in a superposition between the input of the first and the second machine. Here it is shown that the total evolution caused by a pair of such devices is not uniquely determined by the channels of the two machines. Such `global' channels describing the machine pair are examples of gluings of the two single machine channels. Under the limiting assumption that all involved Hilbert spaces are finite-dimensional, an expression which generates all subspace preserving gluings of a given pair of CPMs, is derived. The nature of the non-uniqueness of gluings and its relation to a proposed definition of subspace locality, is discussed. | |
| dc.description | References added, A proposition added | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0302182 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0302182 | |
| dc.identifier | Annals of Physics Vol. 313, p. 326 (2004) | |
| dc.identifier | doi:10.1016/j.aop.2004.04.013 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/96705 | |
| dc.subject | Quantum Physics | |
| dc.title | Gluing of completely positive maps | |
| dc.type | text |