Optimal two-qubit gate for generation of random bipartite entanglement

Details Optimal two-qubit gate for generation of random bipartite entanglement Optimal two-qubit gate for generation of random bipartite entanglement

2007-02-26

arxiv.org/abs/quant-ph/0702240v3

Phys. Rev. A 76, 012318 (2007)

Physics

Quantum Physics

9 pages, 9 PS figures; published version

Scientific paper

10.1103/PhysRevA.76.012318

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 obtained. For generic two qubit entangling gate the decay rate of purity is found to scale as $\sim n$ and therefore of order $\sim n^2$ steps are necessary 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.

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