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Universal simulation of Hamiltonian dynamics for qudits
Michael A. Nielsen, Michael J. Bremner, Jennifer L. Dodd +2
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…
Robustness of adiabatic quantum computation
Andrew M. Childs, Edward Farhi, John Preskill
We study the fault tolerance of quantum computation by adiabatic evolution, a quantum algorithm for solving various combinatorial search problems. We describe an inherent robustnes…
An example of the difference between quantum and classical random walks
Andrew M. Childs, Edward Farhi, Sam Gutmann
In this note, we discuss a general definition of quantum random walks on graphs and illustrate with a simple graph the possibility of very different behavior between a classical ra…