Influence of errors on the transport of quantum information through distant quantum dot spin qubits

Abstract

The ability to connect distant qubits plays a fundamental role in quantum computing. Therefore, quantum systems candidates for quantum computation must be able to interact all their constituent qubits. Here, we model the quantum dot spin qubits by a spin chain with nearest-neighbors interaction. Within this model, we can perform the interaction of distant qubits by the action of consecutive SWAP gates. The SWAP gate exchange the information of two different qubits and it is obtained by a time-dependent interaction of nearest-neighbors qubits that is switched on and off as the quantum information is propagated through the system. By using this scheme, we also are able to implement the CNOT gate, which is a fundamental gate to obtain universal quantum computation. These gates are probed in a system free from decoherence, which provides a very efficient connection between distant qubits. Furthermore, we analyze the situation when the dissipation is present. To perform such a task, we consider dephasing and amplitude-damping types of errors in each site of the spin chain. We found that the order of the SWAP and CNOT gates is important and it can lead to a relevant difference in fidelity when the number of qubits is large.