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Optimal quantum control and quantum information in semiconductor nanostructures

Abstract

Although interest in the quantum computing field is relatively recent, this area has great potential to drive an unprecedented technological advance in history. The present research project moves toward this direction, aiming at creating and extending the theoretical study of semiconductor platforms for quantum computing, which have the possibility of scalability. In order to achieve this goal, we first intend to study and determine the structure of levels of various arrangements of quantum dots containing few electrons. This part of the study refers to the characterization of several types of qubits in quantum dots, which have been proposed using different arrangements. Subsequently, we intend to apply the quantum optimal control theory to perform the preparation, control and measurement of these qubits in semiconductor nanostructures. The basic idea of quantum control lies in determining the form of external fields capable of guiding the system dynamics in a controlled manner on a time scale fast enough to perform a desired protocol. In addition, one can find the optimized fields that can manipulate the states of closed or open quantum systems. Finally, the area of protection of qubits coherence using a new approach to optimal control theory will be explored. (AU)

Articles published in Agência FAPESP Newsletter about the research grant:
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VEICULO: TITULO (DATA)
VEICULO: TITULO (DATA)

Scientific publications (6)
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
CUNHA, IANN; VILLEGAS-LELOVSKY, LEONARDO; LOPEZ-RICHARD, VICTOR; CASTELANO, LEONARDO KLEBER. Multichannel scattering mechanism behind the reentrant conductance feature in nanowires subject to strong spin-orbit coupling. Physical Review B, v. 102, n. 19, . (19/09624-3)
CUNHA, IANN; VILLEGAS-LELOVSKY, LEONARDO; CASTELANO, LEONARDO KLEBER. Influence of deformations on the reentrant conductance feature in semiconducting nanowires. Physics Letters A, v. 426, . (19/09624-3)
DINIZ, E. C.; COSTA, A. C. S.; CASTELANO, L. K.. Quantum resources of the steady-state of three coupled qubits: Microscopic versus phenomenological model. Physics Letters A, v. 415, . (19/09624-3)
CUNHA, IANN; VILLEGAS-LELOVSKY, LEONARDO; LOPEZ-RICHARD, VICTOR; CASTELANO, LEONARDO KLEBER. Multichannel scattering mechanism behind the reentrant conductance feature in nanowires subject to strong spin-orbit coupling. PHYSICAL REVIEW B, v. 102, n. 19, p. 6-pg., . (19/09624-3)
CUNHA, IANN; CASTELANO, LEONARDO KLEBER. Influence of errors on the transport of quantum information through distant quantum dot spin qubits. Physics Letters A, v. 454, p. 8-pg., . (19/09624-3)
DE LIMA, EMANUEL F.; FERNANDES, MARLLOS E. F.; CASTELANO, LEONARDO K.. Quantum computing with two independent control functions: Optimal solutions to the teleportation protocol. PHYSICAL REVIEW A, v. 105, n. 3, p. 8-pg., . (14/23648-9, 19/09624-3)