Physics – Quantum Physics
Scientific paper
2010-09-28
J. Chem. Phys. 134, 144112 (2011)
Physics
Quantum Physics
Scientific paper
10.1063/1.3575402
Constructing appropriate unitary matrix operators for new quantum algorithms and finding the minimum cost gate sequences for the implementation of these unitary operators is of fundamental importance in the field of quantum information and quantum computation. Evolution of quantum circuits faces two major challenges: complex and huge search space and the high costs of simulating quantum circuits on classical computers. Here, we use the group leaders optimization algorithm to decompose a given unitary matrix into a proper-minimum cost quantum gate sequence. Using this procedure, we present the circuit designs for the simulation of the Toffoli gate, the amplifica- tion step of the Grover search algorithm, the quantum Fourier transform, the sender part of the quantum teleportation and the unitary propagator of the Hamiltonian for the hydrogen molecule. The approach is general and can be applied to generate the sequence of quantum gates for larger molecular systems.
Daskin Anmer
Kais Sabre
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