Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/2751
Title: Entanglement properties of positive operators with ranges in completely entangled subspaces
Authors: Sengupta, R.
Arvind
Keywords: Orthonormal Basis
Quantum Optics
Entanglement
Issue Date: 2014
Publisher: American Physical Society
Citation: Physical Review A - Atomic, Molecular, and Optical Physics, 90(6)
Abstract: We prove that the projection on a completely entangled subspace S of maximum dimension obtained by Parthasarathy [K. R. Parthasarathy, Proc. Indian Acad. Sci. Math. Sci. 114, 365 (2004)PIAMDO0253-414210.1007/BF02829441] in a multipartite quantum system is not positive under partial transpose. We next show that a large number of positive operators with a range in S also have the same property. In this process we construct an orthonormal basis for S and provide a theorem to link the constructions of completely entangled subspaces due to Parthasarathy (as cited above), Bhat [B. V. R. Bhat, Int. J. Quantum Inf. 4, 325 (2006)0219-749910.1142/S0219749906001797], and Johnston [N. Johnston, Phys. Rev. A 87, 064302 (2013)PLRAAN1050-294710.1103/PhysRevA.87.064302].
Description: Only IISERM authors are available in the record.
URI: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.90.062323
http://hdl.handle.net/123456789/2751
Appears in Collections:Research Articles

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