Optimal two-qubit gate for generation of random bipartite entanglement

Journal Article · Sun Jul 15 04:00:00 EDT 2007 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.76.012318· OSTI ID:21011185

Znidaric, Marko ^[1]

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1. Department of Physics, Faculty of Mathematics and Physics, University of Ljubljana, SI-1000 Ljubljana (Slovenia)

We numerically study protocols consisting of repeated applications of two qubit gates used for generating random pure states. A necessary number of steps needed in order to generate states displaying bipartite entanglement typical of random states is considered. Numerics indicates that for a generic two qubit entangling gate the decay of purity is exponential with the decay time scaling as {approx}n, implying that of order {approx}n{sup 2} steps are needed to reach random bipartite entanglement. We also numerically identify the optimal two qubit gate for which the convergence is the fastest. Perhaps surprisingly, applying the same good two qubit gate in addition to a random single qubit rotations at each step leads to a faster generation of entanglement than applying a random two qubit transformation at each step.

• OSTI ID: 21011185
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 1 Vol. 76; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CONVERGENCE
DATA PROCESSING
QUANTUM ENTANGLEMENT
QUANTUM MECHANICS
QUBITS
RANDOMNESS
TRANSFORMATIONS