dorsal/arxiv
View SchemaJoint measurements on qubits and cloning of observables
| Authors | Alessandro Ferraro, Matteo G A Paris |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0701089 |
| URL | https://arxiv.org/abs/quant-ph/0701089 |
| Journal | Open Syst. & Inf. Dyn. 14, 149 (2007) |
Abstract
Cloning of observables, unlike standard cloning of states, aims at copying the information encoded in the statistics of a class of observables rather then on quantum states themselves. In such a process the emphasis is on the quantum operation (evolution plus measurement) necessary to retrieve the original information. We analyze, for qubit systems, the cloning of a class generated by two noncommuting observables, elucidating the relationship between such a process and joint measurements. This helps in establishing an optimality criterion for cloning of observables. We see that, even if the cloning machine is designed to act on the whole class generated by two noncommuting observables, the same optimal performances of a joint measurement can be attained. Finally, the connection with state dependent cloning is enlightened.
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"abstract": "Cloning of observables, unlike standard cloning of states, aims at copying\nthe information encoded in the statistics of a class of observables rather then\non quantum states themselves. In such a process the emphasis is on the quantum\noperation (evolution plus measurement) necessary to retrieve the original\ninformation. We analyze, for qubit systems, the cloning of a class generated by\ntwo noncommuting observables, elucidating the relationship between such a\nprocess and joint measurements. This helps in establishing an optimality\ncriterion for cloning of observables. We see that, even if the cloning machine\nis designed to act on the whole class generated by two noncommuting\nobservables, the same optimal performances of a joint measurement can be\nattained. Finally, the connection with state dependent cloning is enlightened.",
"arxiv_id": "quant-ph/0701089",
"authors": [
"Alessandro Ferraro",
"Matteo G A Paris"
],
"categories": [
"quant-ph"
],
"journal_ref": "Open Syst. \u0026 Inf. Dyn. 14, 149 (2007)",
"title": "Joint measurements on qubits and cloning of observables",
"url": "https://arxiv.org/abs/quant-ph/0701089"
},
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