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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/6983
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dc.contributor.authorSamuel, J.-
dc.contributor.authorShivam, Kumar-
dc.contributor.authorSinha, Supurna-
dc.date.accessioned2018-08-15T17:08:42Z-
dc.date.available2018-08-15T17:08:42Z-
dc.date.issued2018-09-
dc.identifier.citationAnnals of Physics, 2018, Vol.396, p159-172en_US
dc.identifier.issn0003-4916-
dc.identifier.urihttp://hdl.handle.net/2289/6983-
dc.descriptionRestricted Access. An open-access version is available at arXiv.org (one of the alternative locations)en_US
dc.description.abstractWe describe a new approach based on Lorentzian geometry to detect qubit entanglement. The treatment is based physically, on the causal structure of Minkowski spacetime, and mathematically, on a Lorentzian Singular Value Decomposition. A surprising feature is the natural emergence of “Energy conditions” used in Relativity. All states satisfy a “Dominant Energy Condition” (DEC) and separable states satisfy the Strong Energy Condition(SEC), while entangled states violate the SEC. We thus propose a test for two qubit entanglement which is an alternative to the positive partial transpose (PPT) test. This test is based on the partial Lorentz transformation (PLT) on individual qubits. Apart from testing for entanglement, our approach also enables us to construct a separable form for the density matrix in those cases where it exists. Our approach leads to a simple graphical three dimensional representation of the state space which shows the entangled states within the set of all states.en_US
dc.language.isoenen_US
dc.publisherElsevier Inc.en_US
dc.relation.urihttps://arxiv.org/abs/1801.00611en_US
dc.relation.urihttps://doi.org/10.1016/j.aop.2018.07.019en_US
dc.relation.urihttp://adsabs.harvard.edu/abs/2018AnPhy.396..159Sen_US
dc.rights2018 Elsevier Inc.en_US
dc.subjectQuantum entanglementen_US
dc.subjectQubitsen_US
dc.subjectLorentzian geometryen_US
dc.subjectRelativity and energy conditionsen_US
dc.titleLorentzian geometry for detecting qubit entanglementen_US
dc.typeArticleen_US
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