Quantum Information Processing, Vol. 3, Nos. 1–5, October 2004 (© 2004)
NMR Quantum Information Processing
David G. Cory,
and Matthias Steffen
Received April 30, 2004; accepted July 8, 2004
Nuclear magnetic resonance (NMR) has provided a valuable experimental test-
bed for quantum information processing (QIP). Here, we brieﬂy review the use
of nuclear spins as qubits, and discuss the current status of NMR-QIP. Advances
in the techniques available for control are described along with the various imple-
mentations of quantum algorithms and quantum simulations that have been per-
formed using NMR. The recent application of NMR control techniques to other
quantum computing systems are reviewed before concluding with a description of
the efforts currently underway to transition to solid state NMR systems that hold
promise for scalable architectures.
KEY WORDS: quantum control; quantum simulation; quantum algorithms;
solid-state quantum information processing.
PACS: 03.67.−a, 03.67.Lx.
Nuclear spins feature prominently in most condensed matter proposals for
either directly being used as computational or
storage qubits, or being important sources of decoherence. Fortunately, the
coherent control of nuclear spins has a long and successful history driven
in large part by the development of nuclear magnetic resonance (NMR)
techniques in biology, chemistry, physics, and medicine.
feature of NMR that makes it amenable to quantum information process-
ing (QIP) experiments is that, in general, the spin degrees of freedom are
separable from the other degrees of freedom in the systems studied, both
Department of Nuclear Engineering, Massachusetts Institute of Technology, Cambridge,
MA 02139, USA. E-mail: firstname.lastname@example.org
MIT Center for Bits and Atoms & Department of Physics, Massachusetts Institute of
Technology, Cambridge, MA 02139, USA.
1570-0755/04/1000-0015/0 © 2004 Springer Science+Business Media, Inc.