37 citations · 44 across the 3 of their papers we have counts for
3 papers · 1 filter
Universal quantum dynamics from two 2-local Hamiltonians
Charles D. Hill, Henry L. Haselgrove
In this paper, we show that the ability to switch globally between two 2-local Hamiltonians on n qubits is sufficient for achieving universal unitary dynamics on those n qubits. Of…
Quantum computing and polynomial equations over the finite field Z_2
Christopher M. Dawson, Henry L. Haselgrove, Andrew P. Hines +3
What is the computational power of a quantum computer? We show that determining the output of a quantum computation is equivalent to counting the number of solutions to an easily c…
Lower bounds on the complexity of simulating quantum gates
Andrew M. Childs, Henry L. Haselgrove, Michael A. Nielsen
We give a simple proof of a formula for the minimal time required to simulate a two-qubit unitary operation using a fixed two-qubit Hamiltonian together with fast local unitaries.…