Exact solutions for universal holonomic quantum gates

Details Exact solutions for universal holonomic quantum gates Exact solutions for universal holonomic quantum gates

2004-04-18

arxiv.org/abs/quant-ph/0404101v2

Physical Rev. A, 70, 012320 (2004)

Physics

Quantum Physics

10 pages, no figures, Accepted for Publication in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.70.012320

We show how one can implement any local quantum gate on specific qubits in an
array of qubits by carrying adiabatically a Hamiltonian around a closed loop.
We find the exact form of the loop and the Hamiltonian for implementing general
one and two qubits gates. Our method is analytical and is not based on
numerical search in the space of all loops.

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