Optimal asymptotic cloning machines
We pose the question whether the asymptotic equivalence between quantum cloning and quantum state estimation, valid at the single-clone level, still holds when all clones are examined globally. We conjecture that the answer is affirmative and present a large amount of evidence supporting our conject...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2014-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/16/6/063005 |
| _version_ | 1797751466725736448 |
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| author | Giulio Chiribella Yuxiang Yang |
| author_facet | Giulio Chiribella Yuxiang Yang |
| author_sort | Giulio Chiribella |
| collection | DOAJ |
| description | We pose the question whether the asymptotic equivalence between quantum cloning and quantum state estimation, valid at the single-clone level, still holds when all clones are examined globally. We conjecture that the answer is affirmative and present a large amount of evidence supporting our conjecture, developing techniques to derive optimal asymptotic cloners and proving their equivalence with estimation in virtually all scenarios considered in the literature. Our analysis covers the case of arbitrary finite sets of states, arbitrary families of coherent states, arbitrary phase- and multiphase-covariant sets of states, and two-qubit maximally entangled states. In all these examples we observe that the optimal asymptotic cloners enjoy a universality property, consisting in the fact that scaling of their fidelity does not depend on the specific details of the input states, but only on the number of free parameters needed to specify them. |
| first_indexed | 2024-03-12T16:49:58Z |
| format | Article |
| id | doaj.art-caa275af95464982a5012cf0436dc0b7 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:49:58Z |
| publishDate | 2014-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-caa275af95464982a5012cf0436dc0b72023-08-08T11:25:35ZengIOP PublishingNew Journal of Physics1367-26302014-01-0116606300510.1088/1367-2630/16/6/063005Optimal asymptotic cloning machinesGiulio Chiribella0Yuxiang Yang1Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, Beijing 100084, People's Republic of ChinaCenter for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, Beijing 100084, People's Republic of ChinaWe pose the question whether the asymptotic equivalence between quantum cloning and quantum state estimation, valid at the single-clone level, still holds when all clones are examined globally. We conjecture that the answer is affirmative and present a large amount of evidence supporting our conjecture, developing techniques to derive optimal asymptotic cloners and proving their equivalence with estimation in virtually all scenarios considered in the literature. Our analysis covers the case of arbitrary finite sets of states, arbitrary families of coherent states, arbitrary phase- and multiphase-covariant sets of states, and two-qubit maximally entangled states. In all these examples we observe that the optimal asymptotic cloners enjoy a universality property, consisting in the fact that scaling of their fidelity does not depend on the specific details of the input states, but only on the number of free parameters needed to specify them.https://doi.org/10.1088/1367-2630/16/6/063005quantum cloningquantum estimationquantum channels |
| spellingShingle | Giulio Chiribella Yuxiang Yang Optimal asymptotic cloning machines New Journal of Physics quantum cloning quantum estimation quantum channels |
| title | Optimal asymptotic cloning machines |
| title_full | Optimal asymptotic cloning machines |
| title_fullStr | Optimal asymptotic cloning machines |
| title_full_unstemmed | Optimal asymptotic cloning machines |
| title_short | Optimal asymptotic cloning machines |
| title_sort | optimal asymptotic cloning machines |
| topic | quantum cloning quantum estimation quantum channels |
| url | https://doi.org/10.1088/1367-2630/16/6/063005 |
| work_keys_str_mv | AT giuliochiribella optimalasymptoticcloningmachines AT yuxiangyang optimalasymptoticcloningmachines |