TY - JOUR
T1 - Groverian measure of entanglement for mixed states
AU - Shapira, Daniel
AU - Shimoni, Yishai
AU - Biham, Ofer
PY - 2006
Y1 - 2006
N2 - The Groverian entanglement measure, introduced earlier for pure quantum states of multiple qubits [O. Biham, M.A. Nielsen, and T. Osborne, Phys. Rev. A 65, 062312 (2002)], is generalized to the case of mixed states. The Groverian measure of a mixed state of n qubits is obtained by a purification procedure into a pure state of 2n qubits, followed by an optimization process, before the resulting state is fed into Grover's search algorithm. It is expressed in terms of the maximal success probability of the algorithm and in this sense provides an operational measure of entanglement.
AB - The Groverian entanglement measure, introduced earlier for pure quantum states of multiple qubits [O. Biham, M.A. Nielsen, and T. Osborne, Phys. Rev. A 65, 062312 (2002)], is generalized to the case of mixed states. The Groverian measure of a mixed state of n qubits is obtained by a purification procedure into a pure state of 2n qubits, followed by an optimization process, before the resulting state is fed into Grover's search algorithm. It is expressed in terms of the maximal success probability of the algorithm and in this sense provides an operational measure of entanglement.
UR - http://www.scopus.com/inward/record.url?scp=33645693955&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.73.044301
DO - 10.1103/PhysRevA.73.044301
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AN - SCOPUS:33645693955
SN - 1050-2947
VL - 73
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 4
M1 - 044301
ER -