Title: Local filtering operations on two qubits
Authors: Verstraete, Frank ×
Dehaene, Jeroen
De Moor, Bart #
Issue Date: Jul-2001
Publisher: American physical soc
Series Title: Physical Review A, Atomic, Molecular and Optical Physics vol:64 issue:1 pages:010101
Abstract: We consider one single copy of a mixed state of two qubits and investigate how its entanglement changes under local quantum operations and classical communications (LQCC) of the type rho'similar to (A x B)rho (A x B)(dagger). We consider a real matrix parametrization of the set of density matrices and show that these LQCC operations correspond to left and right multiplication by a Lorentz matrix, followed by normalization. A constructive way of bringing this matrix into a normal form is derived. This allows us to calculate explicitly the optimal local filtering operations for concentrating entanglement. Furthermore, we give a complete characterization of the mixed states that can be purified arbitrarily close to a Bell state. Finally, we obtain a new way of calculating the entanglement of formation.
ISSN: 1050-2947
Publication status: published
KU Leuven publication type: IT
Appears in Collections:ESAT - STADIUS, Stadius Centre for Dynamical Systems, Signal Processing and Data Analytics
Tutorial services, Faculty of Engineering
× corresponding author
# (joint) last author

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