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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Optimal control of hybrid qubits: Implementing the quantum permutation algorithm

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Author(s):
Rivera-Ruiz, C. M. [1] ; de Lima, E. F. [1] ; Fanchini, F. F. [2] ; Lopez-Richard, V. [1] ; Castelano, L. K. [1]
Total Authors: 5
Affiliation:
[1] Univ Fed Sao Carlos, Dept Fis, BR-13565905 Sao Carlos, SP - Brazil
[2] UNESP Univ Estadual Paulista, Fac Ciencias, BR-17033360 Bauru, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: Physical Review A; v. 97, n. 3 MAR 21 2018.
Web of Science Citations: 1
Abstract

The optimal quantum control theory is employed to determine electric pulses capable of producing quantum gateswith a fidelity higher than 0.9997, when noise is not taken into account. Particularly, these quantum gates were chosen to perform the permutation algorithm in hybrid qubits in double quantum dots (DQDs). The permutation algorithm is an oracle based quantum algorithm that solves the problem of the permutation parity faster than a classical algorithm without the necessity of entanglement between particles. The only requirement for achieving the speedup is the use of a one-particle quantum system with at least three levels. The high fidelity found in our results is closely related to the quantum speed limit, which is a measure of how fast a quantum state can be manipulated. Furthermore, we model charge noise by considering an average over the optimal field centered at different values of the reference detuning, which follows a Gaussian distribution. When the Gaussian spread is of the order of 5 mu eV (10% of the correct value), the fidelity is still higher than 0.95. Our scheme also can be used for the practical realization of different quantum algorithms in DQDs. (AU)

FAPESP's process: 15/05581-7 - Quantum control in dissipative systems
Grantee:Felipe Fernandes Fanchini
Support type: Regular Research Grants
FAPESP's process: 12/13052-6 - Transport properties and quantum computation in nanostructures
Grantee:Leonardo Kleber Castelano
Support type: Regular Research Grants
FAPESP's process: 17/07787-7 - Use of quantum optimal control and dynamic decoupling to enable quantum simulation in semiconductor devices
Grantee:Felipe Fernandes Fanchini
Support type: Regular Research Grants