Protocols to measure the non-Abelian Berry phase by pumping a spin qubit through a quantum-dot loop
arXiv:2308.05455 · doi:10.1103/PhysRevB.109.045438
Abstract
A quantum system constrained to a degenerate energy eigenspace can undergo a nontrival time evolution upon adiabatic driving, described by a non-Abelian Berry phase. This type of dynamics may provide logical gates in quantum computing that are robust against timing errors. A strong candidate to realize such holonomic quantum gates is an electron or hole spin qubit trapped in a spin-orbit-coupled semiconductor, whose twofold Kramers degeneracy is protected by time-reversal symmetry. Here, we propose and quantitatively analyze protocols to measure the non-Abelian Berry phase by pumping a spin qubit through a loop of quantum dots. One of these protocols allows to characterize the local internal Zeeman field directions in the dots of the loop. We expect a near-term realisation of these protocols, as all key elements have been already demonstrated in spin-qubit experiments. These experiments would be important to assess the potential of holonomic quantum gates for spin-based quantum information processing.
11 pages main text, +5 pages appendix and bibliography, 9 figures
References in corpus (40)
- 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
- Synthetic magnetic fields for ultracold neutral atoms
- Coherent control of a single electron spin with electric fields
- Holonomic Quantum Computation
- Computing with spin qubits at the surface code error threshold
- High-fidelity readout and control of a nuclear spin qubit in silicon
- Fast universal quantum control above the fault-tolerance threshold in silicon
- Universal control of a six-qubit quantum processor in silicon
- A four-qubit germanium quantum processor
- Observation of Berry's Phase in a Solid State Qubit
- Electric Dipole Induced Spin Resonance in Quantum Dots
- Spin decoherence of a heavy hole coupled to nuclear spins in a quantum dot
- Precision tomography of a three-qubit donor quantum processor in silicon
- A singlet triplet hole spin qubit in planar Ge
- Aharonov-Bohm Oscillations with Spin: Evidence for Berry's Phase
- Electrical spin driving by -matrix modulation in spin-orbit qubits
- Synthesis and Observation of Non-Abelian Gauge Fields in Real Space
- Pauli Spin Blockade in the Presence of Strong Spin-Orbit Coupling
- Coherent long-distance displacement of individual electron spins
- Aharonov-Bohm oscillations in the presence of strong spin-orbit interactions
- Environmental Radiation Impact on Lifetimes and Quasiparticle Tunneling Rates of Fixed-Frequency Transmon Qubits
- Geometrical spin dephasing in quantum dots
- Hole spin driving by strain-induced spin-orbit interactions
- GaAs Quantum Dot Thermometry Using Direct Transport and Charge Sensing
- Holonomic Quantum Computation with Electron Spins in Quantum Dots
- Geometric phases in semiconductor spin qubits: Manipulations and decoherence
- Hole spin manipulation in inhomogeneous and non-separable electric fields
- 500 microkelvin nanoelectronics
- Enhanced spin coherence while displacing electron in a 2D array of quantum dots
- Optimization of infrared and magnetic shielding of superconducting TiN and Al coplanar microwave resonators
- Probing resonating valence bonds on a programmable germanium quantum simulator
- 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
- Optimal design strategy for non-Abelian geometric phases using Abelian gauge fields based on quantum metric
- Wilson loop and Wilczek-Zee phase from a non-Abelian gauge field
- Disappearance of the metal-like behavior in GaAs two-dimensional holes below 30 mK
- Measurement of geometric dephasing using a superconducting qubit
- Magnetic field dependence of the internal quality factor and noise performance of lumped-element kinetic inductance detectors
- Variable and orbital-dependent spin-orbit field orientations in a InSb double quantum dot characterized via dispersive gate sensing