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The ability to connect distant qubits plays a fundamental role in quantumcomputing. Therefore, quantum systems candidates for quantum computation mustbe able to interact all their constituent qubits. Here, we model the quantumdot spin qubits by a spin chain with nearest-neighbors interaction. Within thismodel, we can perform the interaction of distant qubits by the action ofconsecutive SWAP gates. The SWAP gate exchange the information of two differentqubits and it is obtained by a time-dependent interaction of nearest-neighborsqubits that is switched on and off as the quantum information is propagatedthrough the system. By using this scheme, we also are able to implement theCNOT gate, which is a fundamental gate to obtain universal quantum computation.These gates are probed in a system free from decoherence, which provides a veryefficient connection between distant qubits. Furthermore, we analyze thesituation when the dissipation is present. To perform such a task, we considerdephasing 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 leadto a relevant difference in fidelity when the number of qubits is large.

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