Quantum Computing Using Quadrupolar Spins in Solid
and W. S. Veeman
This paper is dedicated to the 65
birthday of Prof. Dietrich Do
Received July 11, 2002; accepted October 28, 2002
Nuclear magnetic resonance (NMR) is a successful method for experimental
implementation of quantum information processing. Most of the successful NMR
quantum processors are small molecules in liquid state. In this case each spin half
particle represents a qubit. Another approach is the usage of higher spin particles as
multi qubit systems. We present the ﬁrst solid state virtual 2-Qubit system, repre-
sented by the spin-3/2 nucleus
Na in a NaNO
single crystal. For this system we
show how to create the pseudo pure states and we derive a set of propagators and logic
gates corresponding to the selective excitation of single quantum transitions. With
this set, the preparation of an ‘‘entangled’’ state is experimentally veriﬁed by state
tomography, adjusted to the spin-3/2 system.
KEY WORDS: Quadrupol; NMR; QIP; solid state.
PACS: 0.367Lx; 76.60-k.
It has been known for some time that a processor based on the laws of
quantum mechanics would be more eﬃcient for certain algorithms (Deutsch
and Grover’s search program)
classical Turing machine.
One of the goals of quantum computing
research is to ﬁnd experimental systems to test and develop the basics of
quantum computation and, ultimately, to ﬁnd an experimental system that
can be utilized as a many-bit quantum processor.
1570-0755/02/1000-0327/0 # 2003 Plenum Publishing Corporation
Institute of Chemistry, Universita
t Duisburg-Essen, Lotharstrasse 1, 47057 Duisburg,
To whom correspondence should be addressed. E-mail: email@example.com
Quantum Information Processing, Vol. 1, No. 5, October 2002 (# 2003)