Entanglement and the three-dimensionality of the Bloch ball
| dc.contributor.author | Masanes, Lluís | |
| dc.contributor.author | Müller, M.P. | |
| dc.contributor.author | Pérez García, David | |
| dc.contributor.author | Augusiak, Remigiusz | |
| dc.date.accessioned | 2023-06-19T13:27:57Z | |
| dc.date.available | 2023-06-19T13:27:57Z | |
| dc.date.issued | 2014-12 | |
| dc.description.abstract | We consider a very natural generalization of quantum theory by letting the dimension of the Bloch ball be not necessarily three. We analyze bipartite state spaces where each of the components has a d-dimensional Euclidean ball as state space. In addition to this, we impose two very natural assumptions: the continuity and reversibility of dynamics and the possibility of characterizing bipartite states by local measurements. We classify all these bipartite state spaces and prove that, except for the quantum twoqubit state space, none of them contains entangled states. Equivalently, in any of these non-quantum theories, interacting dynamics is impossible. This result reveals that "existence of entanglement" is the requirement with minimal logical content which singles out quantum theory from our family of theories | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | CatalunyaCaixa | |
| dc.description.sponsorship | EU ERC Advanced Grant NLST | |
| dc.description.sponsorship | EU Qessence projec | |
| dc.description.sponsorship | Templeton Foundation | |
| dc.description.sponsorship | FQXi large grant project "Time and the structure of quantum theory" | |
| dc.description.sponsorship | AQUTE | |
| dc.description.sponsorship | TOQATA | |
| dc.description.sponsorship | Spanish MINECO | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/28348 | |
| dc.identifier.doi | 10.1063/1.4903510 | |
| dc.identifier.issn | 0022-2488 | |
| dc.identifier.officialurl | http://scitation.aip.org/content/aip/journal/jmp/55/12/10.1063/1.4903510 | |
| dc.identifier.relatedurl | http://scitation.aip.org/content/publishers | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/33781 | |
| dc.issue.number | 12 | |
| dc.journal.title | Journal of Mathematical Physics | |
| dc.language.iso | eng | |
| dc.publisher | American Institute of Physics | |
| dc.relation.projectID | I-MATH | |
| dc.relation.projectID | MTM2008-01366 | |
| dc.relation.projectID | S2009/ESP-1594 | |
| dc.relation.projectID | QUEVADIS | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 530.1 | |
| dc.subject.keyword | Quantum-mechanics | |
| dc.subject.ucm | Física matemática | |
| dc.subject.ucm | Teoría de los quanta | |
| dc.subject.unesco | 2210.23 Teoría Cuántica | |
| dc.title | Entanglement and the three-dimensionality of the Bloch ball | |
| dc.type | journal article | |
| dc.volume.number | 55 | |
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| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 5edb2da8-669b-42d1-867d-8fe3144eb216 | |
| relation.isAuthorOfPublication.latestForDiscovery | 5edb2da8-669b-42d1-867d-8fe3144eb216 |
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