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