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Two-qubit logical operations in triangular arrangement of quantum dots

Research paper by Jakub Łuczak, Bogdan R. Bułka

Indexed on: 10 Nov '17Published on: 10 Nov '17Published in: arXiv - Physics - Mesoscopic Systems and Quantum Hall Effect



Abstract

We propose a system of two interacting always-on, exchange-only qubits for which CPHASE, CNOT, quantum Fourier transform (QFT) and SWAP operations can be implemented only in a few electrical pulses in a nanosecond time scale. Each qubit is built of three quantum dots (TQD) in a triangular geometry with three electron spins which are always kept coupled by exchange interactions only. The qubit states are encoded in a doublet subspace and are fully electrically controlled by a voltage applied to gate electrodes. The two qubit quantum gates are realized by short electrical pulses which change the triangular symmetry of TQD and switch on exchange interaction between the qubits. We found an optimal configuration to implement the $CPHASE$ gate by a single pulse of the order 2.3 ns. Using this gate, in combination with single qubit operations, we searched for optimal conditions to perform the other gates: CNOT, QFT and SWAP. Our studies take into account environment effects and leakage processes as well. The results suggest that the system can be implemented for fault tolerant quantum computations.