dc.contributor.author | Álvarez Rodríguez, Unai | |
dc.contributor.author | Sanz Ruiz, Mikel ![ORCID](/themes/Mirage2//images/orcid_16x16.png) | |
dc.contributor.author | Lamata Manuel, Lucas ![ORCID](/themes/Mirage2//images/orcid_16x16.png) | |
dc.contributor.author | Solano Villanueva, Enrique Leónidas ![ORCID](/themes/Mirage2//images/orcid_16x16.png) | |
dc.date.accessioned | 2015-11-19T19:06:01Z | |
dc.date.available | 2015-11-19T19:06:01Z | |
dc.date.issued | 2015-07-08 | |
dc.identifier.citation | Scientific Reports 5: (2015) // Article ID 11983 | es |
dc.identifier.issn | 2045-2322 | |
dc.identifier.uri | http://hdl.handle.net/10810/16131 | |
dc.description.abstract | Quantum information provides fundamentally different computational resources than classical information. We prove that there is no unitary protocol able to add unknown quantum states belonging to different Hilbert spaces. This is an inherent restriction of quantum physics that is related to the impossibility of copying an arbitrary quantum state, i.e., the no-cloning theorem. Moreover, we demonstrate that a quantum adder, in absence of an ancillary system, is also forbidden for a known orthonormal basis. This allows us to propose an approximate quantum adder that could be implemented in the lab. Finally, we discuss the distinct character of the forbidden quantum adder for quantum states and the allowed quantum adder for density matrices. | es |
dc.description.sponsorship | he authors acknowledge support from Spanish MINECO FIS2012-36673-C03-02; Ramon y Cajal Grant RYC-2012-11391; UPV/EHU UFI 11/55 and EHUA14/04, Basque Government IT472-10 and BFI-2012-322; CCQED, PROMISCE, SCALEQIT EU projects. | es |
dc.language.iso | eng | es |
dc.publisher | Nature Publishing Group | es |
dc.relation | info:eu-repo/grantAgreement/EC/FP7/600927 | es |
dc.relation | info:eu-repo/grantAgreement/EC/FP7/284566 | es |
dc.relation | info:eu-repo/grantAgreement/EC/FP7/264666 | es |
dc.relation | info:eu-repo/grantAgreement/MINECO/FIS2012-36673-C03-02 | |
dc.rights | info:eu-repo/semantics/openAccess | es |
dc.subject | information theory and computation | es |
dc.subject | quantum information | es |
dc.title | The Forbidden Quantum Adder | es |
dc.type | info:eu-repo/semantics/article | es |
dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/ | es |
dc.relation.publisherversion | http://www.nature.com/articles/srep11983 | es |
dc.identifier.doi | 10.1038/srep11983 | |
dc.departamentoes | Química física | es_ES |
dc.departamentoeu | Kimika fisikoa | es_ES |
dc.subject.categoria | MULTIDISCIPLINARY SCIENCES | |