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Optimal control of universal quantum gates in a double quantum dot

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Autor(es):
Castelano, Leonardo K. ; de Lima, Emanuel F. ; Madureira, Justino R. ; Degani, Marcos H. ; Maialle, Marcelo Z.
Número total de Autores: 5
Tipo de documento: Artigo Científico
Fonte: PHYSICAL REVIEW B; v. 97, n. 23, p. 12-pg., 2018-06-04.
Resumo

We theoretically investigate electron spin operations driven by applied electric fields in a semiconductor double quantum dot (DQD) formed in a nanowire with longitudinal potential modulated by local gating. We develop a model that describes the process of loading and unloading the DQD taking into account the overlap between the electron wave function and the leads. Such a model considers the spatial occupation and the spin Pauli blockade in a time-dependent fashion due to the highly mixed states driven by the external electric field. Moreover, we present a road map based on the quantum optimal control theory (QOCT) to find a specific electric field that performs two-qubit quantum gates on a faster timescale and with higher possible fidelity. By employing the QOCT, we demonstrate the possibility of performing within high efficiency a universal set of quantum gates {CNOT, H, and T}, where CNOT is the controlled-NOT gate, H is the Hadamard gate, and T is the pi/8 gate, even in the presence of the loading/unloading process and charge noise effects. Furthermore, by varying the intensity of the applied magnetic field B, the optimized fidelity of the gates oscillates with a period inversely proportional to the gate operation time t(f) . This behavior can be useful to attain higher fidelity for fast gate operations (>1 GHz) by appropriately choosing B and t(f) to produce a maximum of the oscillation. (AU)

Processo FAPESP: 12/13052-6 - Propriedades de transporte e computação quântica em nanoestruturas
Beneficiário:Leonardo Kleber Castelano
Modalidade de apoio: Auxílio à Pesquisa - Regular
Processo FAPESP: 17/10190-2 - Dinâmica de spins e operações em qubits em nanoestruturas semicondutoras
Beneficiário:Marcelo Zoéga Maialle
Modalidade de apoio: Auxílio à Pesquisa - Regular