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Universal simulation of Hamiltonian dynamics for qudits

Michael A. Nielsen·Michael J. Bremner·Jennifer L. Dodd·Andrew M. Childs·Christopher M. Dawson
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Abstract

What interactions are sufficient to simulate arbitrary quantum dynamics in a composite quantum system? Dodd et al. (quant-ph/0106064) provided a partial solution to this problem in the form of an efficient algorithm to simulate any desired two-body Hamiltonian evolution using any fixed two-body entangling N-qubit Hamiltonian, and local unitaries. We extend this result to the case where the component systems have D dimensions. As a consequence we explain how universal quantum computation can be performed with any fixed two-body entangling N-qudit Hamiltonian, and local unitaries.

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Michael A. Nielsen, Michael J. Bremner, Jennifer L. Dodd, Andrew M. Childs, Christopher M. Dawson. 2002-05-31. Universal simulation of Hamiltonian dynamics for qudits. https://doi.org/10.1103/physreva.66.022317

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