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

TL;DR

This paper models quantum dot spin qubits as a spin chain to analyze how errors like dephasing and damping affect the fidelity of quantum gates such as SWAP and CNOT during long-distance quantum information transfer.

Contribution

It introduces a spin chain model for distant qubit interaction and studies the impact of dissipation errors on quantum gate fidelity in this system.

Findings

Error order significantly affects fidelity in large qubit systems

Dephasing and damping errors reduce gate fidelity

Dissipation impacts quantum information transfer efficiency

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.