Quantum Gates with a Selective Interaction

Gábor Ivanyos

E. Solano, Marcelo França Santos, P. Milman

We present a proposal for implementing quantum phase gates using selective interactions. We analyze selectivity and the possibility to implement these gates in two particular systems, namely, trapped ions and cavity QED.

Jie‐Qiao Liao, Qin-Qin Wu, Le‐Man Kuang

In this paper, we propose a scheme to implement two-qubit logic gates with a controllable and selective interaction in a scalable superconducting circuit of charge qubits. A nanomechanical resonator is used as a data bus to connect qubits. It is indicated that a controllable interaction between qubits can be obtained by making use of the data bus. It is shown that a selective interaction between qubits can be realized when many qubits are involved in the system under our consideration.

Xu‐Bo Zou, Yun‐Feng Xiao, Shangbin Li +2 more

We propose a scheme for realizing a two-qubit quantum phase gate between atoms inside a high-$Q$ optical cavity. In the scheme, the dispersive interaction between atoms and the cavity field induces photon-number Stark shift, which can yield a resonant interaction inside one selected atom-field subspace and leave the others in a highly dispersive regime. Due to the selective atom-cavity interaction, (1) the scheme only requires commonly addressing the atoms inside the optical cavity during the gate operation, and (2) it can be directly used to implement an $N$-qubit conditional phase gate. These properties can significantly reduce the number of operations for implementing quantum computation and quantum algorithms.