Effective Hamiltonian for the hybrid double quantum dot qubit

Effective Hamiltonian for the hybrid double quantum dot qubit Quantum dot hybrid qubits formed from three electrons in double quantum dots represent a promising compromise between high speed and simple fabrication for solid state implementations of single-qubit and two-qubits quantum logic ports. We derive the Schrieffer–Wolff effective Hamiltonian that describes in a simple and intuitive way the qubit by combining a Hubbard-like model with a projector operator method. As a result, the Hubbard-like Hamiltonian is transformed in an equivalent expression in terms of the exchange coupling interactions between pairs of electrons. The effective Hamiltonian is exploited to derive the dynamical behavior of the system and its eigenstates on the Bloch sphere to generate qubits operation for quantum logic ports. A realistic implementation in silicon and the coupling of the qubit with a detector are discussed. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

Effective Hamiltonian for the hybrid double quantum dot qubit

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Publisher
Springer US
Copyright
Copyright © 2014 by Springer Science+Business Media New York
Subject
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-013-0718-2
Publisher site
See Article on Publisher Site

Abstract

Quantum dot hybrid qubits formed from three electrons in double quantum dots represent a promising compromise between high speed and simple fabrication for solid state implementations of single-qubit and two-qubits quantum logic ports. We derive the Schrieffer–Wolff effective Hamiltonian that describes in a simple and intuitive way the qubit by combining a Hubbard-like model with a projector operator method. As a result, the Hubbard-like Hamiltonian is transformed in an equivalent expression in terms of the exchange coupling interactions between pairs of electrons. The effective Hamiltonian is exploited to derive the dynamical behavior of the system and its eigenstates on the Bloch sphere to generate qubits operation for quantum logic ports. A realistic implementation in silicon and the coupling of the qubit with a detector are discussed.

Journal

Quantum Information ProcessingSpringer Journals

Published: Jan 3, 2014

References

  • Coherent singlet–triplet oscillations in a silicon-based double quantum dot
    Maune, BM; Borselli, MG; Huang, B; Ladd, TD; Deelman, PW; Holabird, KS; Kiselev, AA; Alvarado-Rodriguez, I; Ross, RS; Schimitz, AE; Sokolich, M; Watson, CA; Gyure, MF; Hunter, AT
  • Quantum computation with quantum dots
    Loss, D; DiVincenzo, DP
  • Fast spin–orbit qubit in an indium antimonide nanowire
    Berg, JWG; Nadj-Perge, S; Pribiag, VS; Plissard, SR; Bakkers, EPAM; Frolov, SM; Kouwenhoven, LP
  • Coherent adiabatic spin control in the presence of charge noise using tailored pulses
    Ribeiro, H; Burkard, G; Petta, JR; Lu, H; Gossard, AC
  • Relation between the Anderson and Kondo Hamiltonians
    Schrieffer, JR; Wolff, PA

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