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Multimode uncertainty relations and separability of continuous variable states

Serafini, A; (2006) Multimode uncertainty relations and separability of continuous variable states. PHYS REV LETT , 96 (11) , Article 110402. 10.1103/PhysRevLett.96.110402. Green open access

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Abstract

A multimode uncertainty relation (generalizing the Robertson-Schrodinger relation) is derived as a necessary constraint on the second moments of n pairs of canonical operators. In turn, necessary conditions for the separability of multimode continuous variable states under (m+n)-mode bipartitions are derived from the uncertainty relation. These conditions are proven to be necessary and sufficient for (1+n)-mode Gaussian states and for (m+n)-mode bisymmetric Gaussian states.

Type: Article
Title: Multimode uncertainty relations and separability of continuous variable states
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevLett.96.110402
Keywords: QUANTUM TELEPORTATION NETWORK, GAUSSIAN STATES, SYSTEMS, ENTANGLEMENT, INVARIANTS, CRITERION, MATRIX, FORMS
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy
URI: https://discovery-pp.ucl.ac.uk/id/eprint/10009
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