On the efficiency of nonlocal gates generation

Details On the efficiency of nonlocal gates generation On the efficiency of nonlocal gates generation

2004-10-21

arxiv.org/abs/quant-ph/0410170v1

Phys. Rev. A 71, 032322 (2005)

Physics

Quantum Physics

6 pages, 3 figures

Scientific paper

10.1103/PhysRevA.71.032322

We propose and study a method for using non-maximally entangled states to implement probabilistically non-local gates. Unlike distillation-based protocols, this method does not generate a maximally entangled state at intermediate stages of the process. As a consequences, the method becomes more efficient at a certain range of parameters. Gates of the form $\exp[i\xi\sigma_{n_A}\sigma_{n_B}]$ with $\xi\ll1$, can be implemented with nearly unit probability and with vanishingly small entanglement, while for the distillation-based method the gate is produced with a vanishing success probability. We also derive an upper bound to the optimal success probability and show that in the small entanglement limit, the bound is tight.

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