Simulation and reversal of n-qubit Hamiltonians using Hadamard matrices

Details Simulation and reversal of n-qubit Hamiltonians using Hadamard matrices Simulation and reversal of n-qubit Hamiltonians using Hadamard matrices

2001-07-06

arxiv.org/abs/quant-ph/0107041v2

J. Mod. Opt., Vol. 49, No. 8 (2002) p. 1199-1217

Physics

Quantum Physics

Critical mistake corrected, conclusions essentially unchanged

Scientific paper

10.1080/09500340210133469

The ability to simulate one Hamiltonian with another is an important primitive in quantum information processing. In this paper, a simulation method for arbitrary $\sigma_z \otimes \sigma_z$ interaction based on Hadamard matrices (quant-ph/9904100) is generalized for any pairwise interaction. We describe two applications of the generalized framework. First, we obtain a class of protocols for selecting an arbitrary interaction term in an n-qubit Hamiltonian. This class includes the scheme given in quant-ph/0106064v2. Second, we obtain a class of protocols for inverting an arbitrary, possibly unknown n-qubit Hamiltonian, generalizing the result in quant-ph/0106085v1.

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