Valence holes as Luttinger spinor based qubits in quantum dots

Abstract

We present a theory of valence holes as Luttinger spinor based qubits in p-doped self-assembled quantum dots within the 4-band $k\cdot p$ formalism. The two qubit levels are identified with the two chiralities of the doubly degenerate ground state. We show that single qubit operations can be implemented with static magnetic field applied along the $z$ and $x$ directions, acting analogously to the ${\hat{\sigma }}_z$ and ${\hat{\sigma }}_x$ operators in the qubit subspace respectively. The coupling of two dots and hence the double qubit operations are shown to be sensitive to the orientation of the two quantum dots. For vertical qubit arrays, there exists an optimal qubit separation suitable for the voltage control of qubit-qubit interactions.

References in corpus (3)

• Spin relaxation and decoherence of holes in quantum dots
• Electric Dipole Spin Resonance for Heavy Holes in Quantum Dots
• Coupling of electron rotation with spin in semiconductors

Cited by in corpus (11)

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• Phonon-assisted relaxation between hole states in quantum dot molecules
• Spin-orbit induced hole spin relaxation in InAs and GaAs quantum dots
• Exchange interaction of hole-spin qubits in double quantum dots in highly anisotropic semiconductors
• All electrically controlled quantum gates for single heavy hole spin qubits
• Emission spectrum of quasi-resonant laterally coupled quantum dots
• Double quantum dots defined in bilayer graphene
• Asymmetric $g$ tensor in low-symmetry two-dimensional hole systems
• Hole spin splitting in a Ge quantum dot with finite barriers