TY - JOUR UR - http://lib.ugent.be/catalog/pug01:4404887 ID - pug01:4404887 LA - eng TI - Entanglement rates and area laws PY - 2013 JO - (2013) PHYSICAL REVIEW LETTERS SN - 0031-9007 PB - 2013 AU - Van Acoleyen, Karel AU - Mariën, Michaël UGent 000120307985 802001241030 AU - Verstraete, Frank AB - We prove an upper bound on the maximal rate at which a Hamiltonian interaction can generate entanglement in a bipartite system. The scaling of this bound as a function of the subsystem dimension on which the Hamiltonian acts nontrivially is optimal and is exponentially improved over previously known bounds. As an application, we show that a gapped quantum many-body spin system on an arbitrary lattice satisfies an area law for the entanglement entropy if and only if any other state with which it is adiabatically connected (i.e., any state in the same phase) also satisfies an area law. ER -Download RIS file
00000nam^a2200301^i^4500 | |||
001 | 4404887 | ||
005 | 20181113145715.0 | ||
008 | 140602s2013------------------------eng-- | ||
022 | a 0031-9007 | ||
024 | a 000326148400001 2 wos | ||
024 | a 1854/LU-4404887 2 handle | ||
024 | a 10.1103/PhysRevLett.111.170501 2 doi | ||
040 | a UGent | ||
245 | a Entanglement rates and area laws | ||
260 | c 2013 | ||
520 | a We prove an upper bound on the maximal rate at which a Hamiltonian interaction can generate entanglement in a bipartite system. The scaling of this bound as a function of the subsystem dimension on which the Hamiltonian acts nontrivially is optimal and is exponentially improved over previously known bounds. As an application, we show that a gapped quantum many-body spin system on an arbitrary lattice satisfies an area law for the entanglement entropy if and only if any other state with which it is adiabatically connected (i.e., any state in the same phase) also satisfies an area law. | ||
598 | a A1 | ||
700 | a Van Acoleyen, Karel u WE05 0 801001264592 9 F581F2B0-F0ED-11E1-A9DE-61C894A0A6B4 | ||
700 | a Mariën, Michaël u UGent 0 000120307985 0 802001241030 0 975626992834 9 DCD6F142-F0EE-11E1-A197-91C894A0A6B4 | ||
700 | a Verstraete, Frank u WE05 0 801001551653 9 3BD5ED34-F0EE-11E1-A9DE-61C894A0A6B4 | ||
650 | a Physics and Astronomy | ||
653 | a SYSTEMS | ||
773 | t PHYSICAL REVIEW LETTERS g Phys. Rev. Lett. 2013. 111 (17) q 111:17< | ||
856 | 3 Full Text u https://biblio.ugent.be/publication/4404887/file/4411659 z [open] y 1304.5931.pdf | ||
920 | a article | ||
Z30 | x WE 1 WE05 | ||
922 | a UGENT-WE |
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