dorsal/arxiv
View SchemaDiscrimination of the Bell states of qudits by means of linear optics
| Authors | Miloslav Dusek |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0107119 |
| URL | https://arxiv.org/abs/quant-ph/0107119 |
| DOI | 10.1016/S0030-4018(01)01565-6 |
Abstract
The question of the discrimination of the Bell states of two qudits (i.e., d-dimensional quantum systems) by means of passive linear optical elements and conditional measurements is discussed. A qudit is supposed to be represented by d optical modes containing exactly one photon altogether. From recent results of Calsamiglia it follows that there is no way how to distinguish the Bell states of two qudits for d>2 - not even with the probability of success lower than one - without any auxiliary photons in ancillary modes. Following the results of Carollo and Palma it is proved that it is impossible to distinguish even only one such a Bell state with certainty (i.e., with the probability of success equal to one), irrespective of how many auxiliary photons are involved. However, it is shown that auxiliary photons can help to discriminate the Bell states of qudits with the high probability of success: A Bell-state analyzer based on the idea of linear optics quantum computation that can achieve the probability of success arbitrarily close to one is described. It requires many auxiliary photons that must be first "combined" into entangled states.
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"abstract": "The question of the discrimination of the Bell states of two qudits (i.e.,\nd-dimensional quantum systems) by means of passive linear optical elements and\nconditional measurements is discussed. A qudit is supposed to be represented by\nd optical modes containing exactly one photon altogether. From recent results\nof Calsamiglia it follows that there is no way how to distinguish the Bell\nstates of two qudits for d\u003e2 - not even with the probability of success lower\nthan one - without any auxiliary photons in ancillary modes. Following the\nresults of Carollo and Palma it is proved that it is impossible to distinguish\neven only one such a Bell state with certainty (i.e., with the probability of\nsuccess equal to one), irrespective of how many auxiliary photons are involved.\nHowever, it is shown that auxiliary photons can help to discriminate the Bell\nstates of qudits with the high probability of success: A Bell-state analyzer\nbased on the idea of linear optics quantum computation that can achieve the\nprobability of success arbitrarily close to one is described. It requires many\nauxiliary photons that must be first \"combined\" into entangled states.",
"arxiv_id": "quant-ph/0107119",
"authors": [
"Miloslav Dusek"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/S0030-4018(01)01565-6",
"title": "Discrimination of the Bell states of qudits by means of linear optics",
"url": "https://arxiv.org/abs/quant-ph/0107119"
},
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