TY - JOUR SP - ? SN - 0031-9007 AV - public JF - PHYS REV LETT IS - 11 KW - QUANTUM TELEPORTATION NETWORK KW - GAUSSIAN STATES KW - SYSTEMS KW - ENTANGLEMENT KW - INVARIANTS KW - CRITERION KW - MATRIX KW - FORMS PB - AMERICAN PHYSICAL SOC Y1 - 2006/03/24/ TI - Multimode uncertainty relations and separability of continuous variable states EP - ? N2 - 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. UR - https://discovery.ucl.ac.uk/id/eprint/10009/ VL - 96 A1 - Serafini, A ID - discovery10009 ER -