Groverian measure of entanglement for mixed states

Journal Article · Sat Apr 15 04:00:00 EDT 2006 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.73.0· OSTI ID:20787169

Shapira, Daniel; Shimoni, Yishai; Biham, Ofer ^[1]

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1. Racah Institute of Physics, Hebrew University, Jerusalem 91904 (Israel)

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.

• OSTI ID: 20787169
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 4 Vol. 73; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ALGORITHMS
ENERGY LEVELS
MIXED STATE
PROBABILITY
QUANTUM COMPUTERS
QUANTUM ENTANGLEMENT
QUBITS