836 citations · 1.9k across the 7 of their papers we have counts for
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The limitations of nice mutually unbiased bases
Michael Aschbacher, Andrew M. Childs, Pawel Wocjan
Mutually unbiased bases of a Hilbert space can be constructed by partitioning a unitary error basis. We consider this construction when the unitary error basis is a nice error basi…
Spatial search and the Dirac equation
Andrew M. Childs, Jeffrey Goldstone
We consider the problem of searching a d-dimensional lattice of N sites for a single marked location. We present a Hamiltonian that solves this problem in time of order sqrt(N) for…
Unified derivations of measurement-based schemes for quantum computation
Andrew M. Childs, Debbie W. Leung, Michael A. Nielsen
We present unified, systematic derivations of schemes in the two known measurement-based models of quantum computation. The first model (introduced by Raussendorf and Briegel [Phys…