Universal state inversion and concurrence in arbitrary dimensions

Rungta, P., Buzek, V., Caves, C. M., Hillery, M. and Milburn, G. J. (2001) Universal state inversion and concurrence in arbitrary dimensions. Physical Review A, 64 4: . doi:10.1103/PhysRevA.64.042315

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Author Rungta, P.
Buzek, V.
Caves, C. M.
Hillery, M.
Milburn, G. J.
Title Universal state inversion and concurrence in arbitrary dimensions
Journal name Physical Review A   Check publisher's open access policy
ISSN 1050-2947
Publication date 2001
Sub-type Article (original research)
DOI 10.1103/PhysRevA.64.042315
Open Access Status File (Publisher version)
Volume 64
Issue 4
Total pages 12
Editor B. Crasemann
Place of publication Maryland USA
Publisher The American Physical Society
Collection year 2001
Language eng
Subject C1
240201 Theoretical Physics
780102 Physical sciences
Abstract Wootters [Phys. Rev. Lett. 80, 2245 (1998)] has given an explicit formula for the entanglement of formation of two qubits in terms of what he calls the concurrence of the joint density operator. Wootters's concurrence is defined with the help of the superoperator that flips the spin of a qubit. We generalize the spin-flip superoperator to a universal inverter, which acts on quantum systems of arbitrary dimension, and we introduce the corresponding generalized concurrence for joint pure states of D-1 X D-2 bipartite quantum systems. We call this generalized concurrence the I concurrence to emphasize its relation to the universal inverter. The universal inverter, which is a positive, but not completely positive superoperator, is closely related to the completely positive universal-NOT superoperator, the quantum analogue of a classical NOT gate. We present a physical realization of the universal-NOT Superoperator.
Keyword Optics
Physics, Atomic, Molecular & Chemical
Quantum Error-correction
Entanglement
Operations
Qubits
Gate
Q-Index Code C1

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Physical Sciences Publications
 
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Created: Tue, 14 Aug 2007, 16:07:24 EST