69 research outputs found
Exact solutions for universal holonomic quantum gates
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.Comment: 10 pages, no figures, Accepted for Publication in Phys. Rev.
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