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

M3 - Article

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 -