All-electric gubit control in heavy hole guantum dots via non-Abelian geometric phases

We demonstrate how non-Abelian geometric phases can be used to universally process a spin qubit in heavy hole quantum dots in the absence of magnetic fields. A time-dependent electric quadrupole field is used to perform any desired single-qubit operation by virtue of non-Abelian holonomy. During the...

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Bibliographic Details
Published in:Physical review. B, Condensed matter and materials physics Condensed matter and materials physics, 2012-05, Vol.85 (20)
Main Authors: Budich, J C, Rothe, D G, Hankiewicz, E M, Trauzettel, B
Format: Article
Language:English
Subjects:
Coherence
Condensed matter
Joining
Magnetic fields
Phases
Quadrupoles
Quantum dots
Qubits (quantum computing)
Symmetry
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Summary:We demonstrate how non-Abelian geometric phases can be used to universally process a spin qubit in heavy hole quantum dots in the absence of magnetic fields. A time-dependent electric quadrupole field is used to perform any desired single-qubit operation by virtue of non-Abelian holonomy. During the proposed operations, the degeneracy of the time-dependent two-level system representing the qubit is not split. Since time-reversal symmetry is preserved and hyperfine coupling is known to be weak in spin qubits based on heavy holes, we expect very long coherence times in the proposed setup.
ISSN:1098-0121
1550-235X