METHOD FOR IMPLEMENTATION OF UNIVERSAL QUANTUM LOGIC GATES IN A SCALABLE ISING SPIN QUANTUM COMPUTER

Author:

BERMAN G. P.1,KAMENEV D. I.1,KASSMAN R. B.12,PINEDA C.3,TSIFRINOVICH V. I.4

Affiliation:

1. Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA

2. Department of Physics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA

3. Universidad Nacional Autónoma de México, Apdo. Postal 20-364, Mexico D. F. 01000, Mexico

4. IDS Department, Polytechnic University, Six Metrotech Center, Brooklyn, New York 11201, USA

Abstract

We present protocols for implementation of universal quantum gates on an arbitrary superposition of quantum states in a scalable solid-state Ising spin quantum computer. The spin chain is composed of identical spins 1/2 with the Ising interaction between the neighboring spins. The selective excitations of the spins are provided by the gradient of the external magnetic field. The protocols are built of rectangular radio-frequency pulses. Since the wavelength of the radio-frequency pulses is much larger than the distance between the spins, each pulse affects all spins in the chain and introduces the phase and probability errors, which occur even without the influence of the environment. These errors caused by the unwanted transitions are minimized and computed numerically.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

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