Eliminating interactions between non-neighboring qubits in the preparation of cluster states in quantum molecules
Key Laboratory of Quantum Information, University of Science and Technology of China, Chinese Academy of Sciences, Hefei, 230026, P.R. China
Revised: 10 January 2008
Published online: 6 February 2008
We propose a scheme to eliminate the effect of non-nearest-neighbor qubits in preparing cluster state with double-dot molecules. As the interaction Hamiltonians between qubits are Ising-model and mutually commute, we can get positive and negative effective interactions between qubits to cancel the effect of non-nearest-neighbor qubits by properly changing the electron charge states of each quantum dot molecule. The total time for the present multi-step cluster state preparation scheme is only doubled for one-dimensional qubit chain and tripled for two-dimensional qubit array comparing with the time of previous protocol leaving out the non-nearest-neighbor interactions.
PACS: 03.67.Mn – Entanglement production, characterization, and manipulation / 03.67.Lx – Quantum computation / 73.23.Hk – Coulomb blockade; single-electron tunneling
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2008