Harnessing the GaAs quantum dot nuclear spin bath for quantum control

Abstract

We theoretically demonstrate that nuclear spins can be harnessed to coherently control two-electron spin states in a double quantum dot. Hyperfine interactions lead to an avoided crossing between the spin singlet state and the ms = +1 triplet state, T_+ . We show that a coherent superposition of singlet and triplet states can be achieved using finite-time Landau-Zener-Stückelberg interferometry. In this system the coherent rotation rate is set by the Zeeman energy, resulting in ~1 nanosecond single spin rotations. We analyze the coherence of this spin qubit by considering the coupling to the nuclear spin bath and show that T_2^* ~ 16 ns, in good agreement with experimental data. Our analysis further demonstrates that efficient single qubit and two qubit control can be achieved using Landau-Zener-Stückelberg interferometry.

8 pages, 6 figures

References in corpus (12)

• Driven coherent oscillations of a single electron spin in a quantum dot
• Coherent control of a single electron spin with electric fields
• Landau-Zener-Stuckelberg interferometry
• Electrically driven single electron spin resonance in a slanting Zeeman field
• Universal quantum control of two-electron spin quantum bits using dynamic nuclear polarization
• A coherent beam splitter for electronic spin states
• Singlet-triplet decoherence due to nuclear spins in a double quantum dot
• Dynamic Nuclear Polarization with Single Electron Spins
• Universal set of quantum gates for double-dot spin qubits with fixed interdot coupling
• Nuclear State Preparation via Landau-Zener-Stueckelberg transitions in Double Quantum Dots
• Quantum gates between capacitively coupled double quantum dot two-spin qubits
• Dynamic Nuclear Polarization in Double Quantum Dots

Cited by in corpus (31)

• Landau-Zener-Stuckelberg interferometry
• Semiconductor Spin Qubits
• Coherent control of three-spin states in a triple quantum dot
• Nonadiabatic Landau-Zener-Stückelberg-Majorana transitions, dynamics, and interference
• Coherent Adiabatic Spin Control in the Presence of Charge Noise Using Tailored Pulses
• Exchange-based CNOT gates for singlet-triplet qubits with spin orbit interaction
• Spin-valley blockade in carbon nanotube double quantum dots
• Interplay of charge and spin coherence in Landau-Zener-Stückelberg-Majorana interferometry
• Inverse Landau-Zener-Stuckelberg problem for qubit-resonator systems
• Quantum control of hole spin qubits in double quantum dots
• Steady-State Entanglement in the Nuclear Spin Dynamics of a Double Quantum Dot
• Nuclear Dynamics During Landau-Zener Singlet-Triplet Transitions in Double Quantum Dots
• Single-spin manipulation in a double quantum dot in the field of a micromagnet
• Noise Analysis of Qubits Implemented in Triple Quantum Dot Systems in a Davies Master Equation Approach
• Coherent electrical rotations of valley states in Si quantum dots using the phase of the valley-orbit coupling
• High Fidelity Singlet-Triplet $S$-$T_{-}$ Qubits in Inhomogeneous Magnetic Fields
• Phonon-assisted relaxation and decoherence of singlet-triplet qubits in Si/SiGe quantum dots
• Inverted Singlet-Triplet Qubit Coded on a Two-Electron Double Quantum Dot
• Tomography scheme for two spin-1/2 qubits in a double quantum dot
• The visibility study of S-T${}_{+}$ Landau-Zener-Stückelberg oscillations without applied initialization
• Spin dynamics at the singlet-triplet crossings in double quantum dot
• Effects of charge noise on a pulse-gated singlet-triplet $S-T_{-}$ qubit
• Photo-assisted spin transport in double quantum dots with spin-orbit interaction
• Dynamical Self-Quenching of Spin Pumping into Double Quantum Dots
• Optimal choice of state tomography quorum formed by projection operators
• Application of the Landau-Zener-Stueckelberg-Majorana dynamics in an electrically driven flip of a hole spin
• Thermal electron spin flip in quantum dots
• Multistability and spin diffusion enhanced lifetimes in dynamic nuclear polarization in a double quantum dot
• Dissipative evolution of a two-level system through a geometry-based classical mapping
• Role of hyperfine interaction for cavity-mediated coupling between spin qubits
• Spin separation and exchange for quantum dots in the Overhauser field