Electric g Tensor Control and Spin Echo of a Hole-Spin Qubit in a Quantum Dot Molecule

Abstract

The feasibility of high-fidelity single-qubit operations of a hole spin in a quantum dot molecule by electric g tensor control is demonstrated. Apart from a constant external magnetic field the proposed scheme allows for an exclusively electric control of the hole spin. Realistic electric gate bias profiles are identified for various qubit operations using process-tomography-based optimal control. They are shown to be remarkably robust against decoherence and dissipation arising from the interaction of the hole with host-lattice nuclear spins and phonons, with a fidelity loss of $\approx$ 1 percent for gate operation times of $\approx 10$ ns. Spin-echo experiments for the hole spin are modeled to explore dephasing mechanisms and the role of pulse-timing imperfections on the gate fidelity loss is discussed.

11 pages, 6 figures, revtex4

References in corpus (11)

• Spin decoherence of a heavy hole coupled to nuclear spins in a quantum dot
• Spin relaxation and decoherence of holes in quantum dots
• Quantum Process Tomography of a Universal Entangling Gate Implemented with Josephson Phase Qubits
• Observation of extremely slow hole spin relaxation in self-assembled quantum dots
• Singlet-triplet decoherence due to nuclear spins in a double quantum dot
• Hole spin dephasing time associated to hyperfine interaction in quantum dots
• Electrically tunable g-factors in quantum dot molecular spin states
• Hole spin relaxation in semiconductor quantum dots
• Environment-invariant measure of distance between evolutions of an open quantum system
• Method for Full Bloch-Sphere Control of a Localized Spin via a Single Electrical Gate
• Time-optimal performance of Josephson charge qubits: A process tomography approach

Cited by in corpus (11)

• Coherent control and suppressed nuclear feedback of a single quantum dot hole qubit
• Scalable qubit architecture based on holes in quantum dot molecules
• Spin Orbit Mediated Manipulation of Heavy Hole Spin Qubit in Gated Semiconductor Nanodevices
• Electric-field Manipulation of the Lande' g Tensor of Holes in In0.5Ga0.5As/GaAs Self-assembled Quantum Dots
• Spin-orbit-induced circulating currents in a semiconductor nanostructure
• Spin-orbit induced hole spin relaxation in InAs and GaAs quantum dots
• All electrically controlled quantum gates for single heavy hole spin qubits
• Geometric and compositional influences on spin-orbit induced circulating currents in nanostructures
• Asymmetric $g$ tensor in low-symmetry two-dimensional hole systems
• Electrical control of ferromagnetism in Mn-doped semiconductor heterostructures
• Cloaking the magnons