English

Exact solutions for universal holonomic quantum gates

Quantum Physics 2009-11-10 v2

Abstract

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.

Keywords

Cite

@article{arxiv.quant-ph/0404101,
  title  = {Exact solutions for universal holonomic quantum gates},
  author = {Vahid Karimipour and Nayereh Majd},
  journal= {arXiv preprint arXiv:quant-ph/0404101},
  year   = {2009}
}

Comments

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