Classification and magic magnetic-field directions for spin-orbit-coupled double quantum dots

Abstract

The spin of a single electron confined in a semiconductor quantum dot is a natural qubit candidate. Fundamental building blocks of spin-based quantum computing have been demonstrated in double quantum dots with significant spin-orbit coupling. Here, we show that spin-orbit-coupled double quantum dots can be categorised in six classes, according to a partitioning of the multi-dimensional space of their $g$-tensors. The class determines physical characteristics of the double dot, i.e., features in transport, spectroscopy and coherence measurements, as well as qubit control, shuttling, and readout experiments. In particular, we predict that the spin physics is highly simplified due to pseudospin conservation, whenever the external magnetic field is pointing to special directions (`magic directions'), where the number of special directions is determined by the class. We also analyze the existence and relevance of magic loops in the space of magnetic-field directions, corresponding to equal local Zeeman splittings. These results present an important step toward precise interpretation and efficient design of spin-based quantum computing experiments in materials with strong spin-orbit coupling.

12 pages main text, +4 pages appendix and bibliography, 7 figures

References in corpus (54)

• Weyl and Dirac Semimetals in Three Dimensional Solids
• Spins in few-electron quantum dots
• Single-shot read-out of an individual electron spin in a quantum dot
• Driven coherent oscillations of a single electron spin in a quantum dot
• Silicon Quantum Electronics
• Coherent control of a single electron spin with electric fields
• A programmable two-qubit quantum processor in silicon
• Semiconductor Spin Qubits
• Spin-orbit qubit in a semiconductor nanowire
• Kondo physics in carbon nanotubes
• Spin relaxation in semiconductor quantum dots
• A Coherent Spin-Photon Interface in Silicon
• Universal control of a six-qubit quantum processor in silicon
• A four-qubit germanium quantum processor
• Strong spin-photon coupling in silicon
• Electric Dipole Induced Spin Resonance in Quantum Dots
• Spin relaxation and decoherence of holes in quantum dots
• Spectroscopy of spin-orbit quantum bits in indium antimonide nanowires
• A Crossbar Network for Silicon Quantum Dot Qubits
• Multi-terminal Josephson junctions as topological materials
• Fast spin-orbit qubit in an indium antimonide nanowire
• Gate-based single-shot readout of spins in silicon
• Ultrafast Hole Spin Qubit with Gate-Tunable Spin-Orbit Switch
• Electrical control over single hole spins in nanowire quantum dots
• Electrical spin driving by $g$-matrix modulation in spin-orbit qubits
• Pauli Spin Blockade in the Presence of Strong Spin-Orbit Coupling
• Coherent shuttle of electron-spin states
• Coherent spin qubit transport in silicon
• A single hole spin with enhanced coherence in natural silicon
• Electrical control of g-factors in a few-hole silicon nanowire MOSFET
• Controlling spin-orbit interactions in silicon quantum dots using magnetic field direction
• Quantum and Tunnelling Capacitance in Charge and Spin Qubits
• Strong spin-orbit interaction and $g$-factor renormalization of hole spins in Ge/Si nanowire quantum dots
• Blueprint of a scalable spin qubit shuttle device for coherent mid-range qubit transfer in disordered Si/SiGe/SiO${}_2$
• Dynamics of hole singlet triplet qubits with large g-factor differences
• Anisotropic Pauli Spin Blockade of Holes in a GaAs Double Quantum Dot
• Hole spin driving by strain-induced spin-orbit interactions
• Electrical control of the $g$-tensor of a single hole in a silicon MOS quantum dot
• Anisotropy and suppression of spin--orbit interaction in a GaAs double quantum dot
• Magnetic Field Evolution of Spin Blockade in Ge/Si Nanowire Double Quantum Dots
• Tunable hole spin-photon interaction based on g-matrix modulation
• Enhanced spin coherence while displacing electron in a 2D array of quantum dots
• Anisotropic Pauli spin-blockade effect and spin-orbit interaction field in an InAs nanowire double quantum dot
• Interplay of charge noise and coupling to phonons in adiabatic electron transfer between quantum dots
• Adiabatic electron charge transfer between two quantum dots in presence of 1/f noise
• Charge noise and overdrive errors in reflectometry-based charge, spin and Majorana qubit readout
• Small-signal equivalent circuit for double quantum dots at low-frequencies
• Coherent transport of spin by adiabatic passage in quantum dot arrays
• Observation of spin-orbit coupling induced Weyl points and topologically protected Kondo effect in a two-electron double quantum dot
• Quantum error correction in crossbar architectures
• Variable and orbital-dependent spin-orbit field orientations in a InSb double quantum dot characterized via dispersive gate sensing
• Magnetic degeneracy points in interacting two-spin systems: geometrical patterns, topological charge distributions, and their stability
• Probing details of spin--orbit coupling through Pauli spin blockade
• Weyl points in systems of multiple semiconductor-superconductor quantum dots

Cited by in corpus (11)

• Impact of interface traps on charge noise, mobility and percolation density in Ge/SiGe heterostructures
• A singlet-triplet hole-spin qubit in MOS silicon
• Geometry of the dephasing sweet spots of spin-orbit qubits
• Non-reciprocal Pauli Spin Blockade in a Silicon Double Quantum Dot
• A spinless spin qubit
• Compiling the surface code to crossbar spin qubit architectures
• Polarimetry With Spins in the Solid State
• Dressed basis sets for the modeling of exchange interactions in double quantum dots
• Four-state discrimination for a pair of spin qubits via gate reflectometry
• Spin-photon coupling using circular double quantum dots
• Sweet-spot protection of hole spins in sparse arrays via spin-dependent magnetotunneling