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Phys. Rev. A 61, 012302 (1999) [6 pages]

Quantum simulation of a three-body-interaction Hamiltonian on an NMR quantum computer

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C. H. Tseng1, S. Somaroo1, Y. Sharf1, E. Knill2, R. Laflamme2, T. F. Havel3, and D. G. Cory1,*
1Department of Nuclear Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
2Theoretical Physics Division, Los Alamos National Laboratory, Los Alamos, New Mexıco 87455
3BCMP Harvard Medical School, 240 Longwood Avenue, Boston Massachusetts 02115

Received 3 August 1999; published 10 December 1999

Extensions of average Hamiltonian theory to quantum computation permit the design of arbitrary Hamiltonians, allowing rotations throughout a large Hilbert space. In this way, the kinematics and dynamics of any quantum system may be simulated by a quantum computer. A basis mapping between the systems dictates the average Hamiltonian in the quantum computer needed to implement the desired Hamiltonian in the simulated system. The flexibility of the procedure is illustrated with NMR on 13C labeled alanine by creating the nonphysical Hamiltonian σzσzσz corresponding to a three-body interaction.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.61.012302
DOI:
10.1103/PhysRevA.61.012302
PACS:
03.67.-a, 76.60.-k

*Author to whom correspondence should be addressed. Electronic address: dcory@mit.edu