Abstract

A new purification scheme is proposed which applies to arbitrary dimensional\nbipartite quantum systems. It is based on the repeated application of a special\nclass of nonlinear quantum maps and a single, local unitary operation. This\nspecial class of nonlinear quantum maps is generated in a natural way by a\nhermitian generalized XOR-gate. The proposed purification scheme offers two\nmajor advantages, namely it does not require local depolarization operations at\neach step of the purification procedure and it purifies more efficiently than\nother know purification schemes.\n

Keywords

Bipartite graphUnitary stateHermitian matrixPOVMHilbert spaceMathematicsClass (philosophy)Nonlinear systemQuantumQuantum stateState (computer science)Scheme (mathematics)Quantum operationTopology (electrical circuits)Pure mathematicsComputer scienceDiscrete mathematicsAlgorithmQuantum mechanicsPhysicsOpen quantum systemCombinatoricsMathematical analysisLaw

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Publication Info

Year
2001
Type
article
Volume
34
Issue
42
Pages
8821-8833
Citations
77
Access
Closed

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Cite This

G. Alber, A. Delgado, Nicolas Gisin et al. (2001). Efficient bipartite quantum state purification in arbitrary dimensional Hilbert spaces. Journal of Physics A Mathematical and General , 34 (42) , 8821-8833. https://doi.org/10.1088/0305-4470/34/42/307

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DOI
10.1088/0305-4470/34/42/307