Physics – Quantum Physics
Scientific paper
2010-11-12
New J. Phys. 13 095007 2011
Physics
Quantum Physics
20 pages, 10 figures: V2 added section on phase estimation and performing controlled unitaries, V3 corrected minor typos
Scientific paper
10.1088/1367-2630/13/9/095007
We consider simulating the BCS Hamiltonian, a model of low temperature superconductivity, on a quantum computer. In particular we consider conducting the simulation on the qubus quantum computer, which uses a continuous variable ancilla to generate interactions between qubits. We demonstrate an O(N^3) improvement over previous work conducted on an NMR computer [PRL 89 057904 (2002) & PRL 97 050504 (2006)] for the nearest neighbour and completely general cases. We then go on to show methods to minimise the number of operations needed per time step using the qubus in three cases; a completely general case, a case of exponentially decaying interactions and the case of fixed range interactions. We make these results controlled on an ancilla qubit so that we can apply the phase estimation algorithm, and hence show that when N \geq 5, our qubus simulation requires significantly less operations that a similar simulation conducted on an NMR computer.
Brown Katherine L.
De Suvabrata
Kendon Vivien M.
Munro William J.
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