Effective Hamiltonian for two interacting double-dot exchange-only qubits and their controlled-NOT operations

Effective Hamiltonian for two interacting double-dot exchange-only qubits and their... Double-dot exchange-only qubit represents a promising compromise between high speed and simple fabrication in solid-state implementations. A couple of interacting double-dot exchange-only qubits, each composed by three electrons distributed in a double quantum dot, is exploited to realize controlled-NOT (CNOT) operations. The effective Hamiltonian model of the composite system is expressed by only exchange interactions between pairs of spins. Consequently, the evolution operator has a simple form and represents the starting point for the research of sequences of operations that realize CNOT gates. Two different geometrical configurations of the pair are considered, and a numerical mixed simplex and genetic algorithm is used. We compare the nonphysical case in which all the interactions are controllable from the external and the realistic condition in which intra-dot interactions are fixed by the geometry of the system. In the latter case, we find the CNOT sequences for both the geometrical configurations and we considered a qubit system where electrons are electrostatically confined in two quantum dots in a silicon nanowire. The effects of the geometrical sizes of the nanowire and of the gates on the fundamental parameters controlling the qubit are studied by exploiting a spin-density-functional theory-based simulator. Consequently, CNOT gate performances are evaluated. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

Effective Hamiltonian for two interacting double-dot exchange-only qubits and their controlled-NOT operations

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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/s11128-014-0864-1
Publisher site
See Article on Publisher Site

Abstract

Double-dot exchange-only qubit represents a promising compromise between high speed and simple fabrication in solid-state implementations. A couple of interacting double-dot exchange-only qubits, each composed by three electrons distributed in a double quantum dot, is exploited to realize controlled-NOT (CNOT) operations. The effective Hamiltonian model of the composite system is expressed by only exchange interactions between pairs of spins. Consequently, the evolution operator has a simple form and represents the starting point for the research of sequences of operations that realize CNOT gates. Two different geometrical configurations of the pair are considered, and a numerical mixed simplex and genetic algorithm is used. We compare the nonphysical case in which all the interactions are controllable from the external and the realistic condition in which intra-dot interactions are fixed by the geometry of the system. In the latter case, we find the CNOT sequences for both the geometrical configurations and we considered a qubit system where electrons are electrostatically confined in two quantum dots in a silicon nanowire. The effects of the geometrical sizes of the nanowire and of the gates on the fundamental parameters controlling the qubit are studied by exploiting a spin-density-functional theory-based simulator. Consequently, CNOT gate performances are evaluated.

Journal

Quantum Information ProcessingSpringer Journals

Published: Oct 31, 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
  • Relation between the Anderson and Kondo Hamiltonians
    Schrieffer, JR; Wolff, PA
  • Effective Hamiltonian for the hybrid double quantum dot qubit
    Ferraro, E; Michielis, M; Mazzeo, G; Fanciulli, M; Prati, E

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