Phys. Rev. A 70, 012320 (2004) [5 pages]Exact solutions for universal holonomic quantum gatesReceived 18 April 2004; published 30 July 2004 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. © 2004 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.70.012320
DOI:
10.1103/PhysRevA.70.012320
PACS:
03.67.Lx, 03.65.Vf
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