Abstract
We describe in detail how a qubus quantum computer using a continuous variable ancilla to control the qubits can provide significant efficiency savings for quantum simulation. We illustrate this by using as an example the simulation of the Bardeen, Cooper and Schrieffer (BCS) Hamiltonian, a model of low-temperature superconductivity. We demonstrate an O(Ns) improvement over previous studies conducted on an NMR computer [1, 2] for nearest- neighbour and completely general cases. We make these results controlled on an ancilla qubit so that we can apply the phase estimation algorithm, and hence show that when N ≥ 5, our qubus simulation requires significantly fewer operations than a similar simulation conducted on an NMR computer.
© 2012 Optical Society of America
PDF ArticleMore Like This
Katherine Louise Brown, Suvabrata De, and Viv kendon
QTu2E.4 Quantum Electronics and Laser Science Conference (CLEO:FS) 2012
J. Wang, R. L. de Matos Filho, G. S. Agarwal, and L. Davidovich
JTu5A.44 Frontiers in Optics (FiO) 2023
Aviv Karnieli, Shai Tsesses, Renwen Yu, Nicholas Rivera, Ady Arie, Ido Kaminer, and Shanhui Fan
FM3E.5 CLEO: Fundamental Science (CLEO:FS) 2023