Implementation of geometric quantum gates on microwave-driven semiconductor charge qubits
arXiv:2004.00211 · doi:10.1002/qute.202100011
Abstract
A semiconductor-based charge qubit, confined in double quantum dots, can be a platform to implement quantum computing. However, it suffers severely from charge noises. Here, we provide a theoretical framework to implement universal geometric quantum gates in this system. We find that, while the detuning noise can be suppressed by operating near its corresponding sweet spot, the tunneling noise, on the other hand, is amplified and becomes the dominant source of error for single-qubit gates, a fact previously insufficiently appreciated. We demonstrate, through numerical simulation, that the geometric gates outperform the dynamical gates across a wide range of tunneling noise levels, making them particularly suitable to be implemented in conjunction with microwave driving. To obtain a nontrivial two-qubit gate, we introduce a hybrid system with charge qubits coupled by a superconducting resonator. When each charge qubit is in resonance with the resonator, it is possible to construct an entangling geometric gate with fidelity higher than that of the dynamical gate for experimentally relevant noise levels. Therefore, our results suggest that geometric quantum gates are powerful tools to achieve high-fidelity manipulation for the charge qubit.
arXiv comment11 pages,6 figures
References in corpus (70)
- Quantum Computation with Quantum Dots
- Universal Quantum Computation with the Exchange Interaction
- Holonomic Quantum Computation
- Geometric Manipulation of Trapped Ions for Quantum Computation
- Quantum information processing with circuit quantum electrodynamics
- Experimental Realization of Nonadiabatic Holonomic Quantum Computation
- Non-adiabatic holonomic quantum computation
- Quantum Coherence in a One-Electron Semiconductor Charge Qubit
- Experimental Realization of Universal Geometric Quantum Gates with Solid-State Spins
- Fidelity benchmarks for two-qubit gates in silicon
- Detection of Geometric Phases in Superconducting Nanocircuits
- Implementation of universal quantum gates based on nonadiabatic geometric phases
- Experimental Realization of Non-Abelian Geometric Gates
- Nonlocal properties of two-qubit gates and mixed states and optimization of quantum computations
- Dressed Collective Qubit States and the Tavis-Cummings Model in Circuit QED
- Non-Abelian Berry connections for quantum computation
- Non-adiabatic conditional geometric phase shift with NMR
- Non-Adiabatic Holonomic Quantum Computation in Decoherence-Free Subspaces
- High Kinetic Inductance Superconducting Nanowire Resonators for Circuit QED in a Magnetic Field
- Coherent spin manipulation in an exchange-only qubit
- The Resonant Exchange Qubit
- Superconductor-semiconductor hybrid cavity quantum electrodynamics
- Composite pulses for robust universal control of singlet-triplet qubits
- Single-loop realization of arbitrary non-adiabatic holonomic single-qubit quantum gates in a superconducting circuit
- Optical holonomic single quantum gates with a geometric spin under a zero field
- Experimental Realization of Nonadiabatic Shortcut to Non-Abelian Geometric Gates
- Microwave-driven coherent operations of a semiconductor quantum dot charge qubit
- Experimental implementation of universal nonadiabatic geometric quantum gates in a superconducting circuit
- Rydberg-atom-based scheme of nonadiabatic geometric quantum computation
- Optical manipulation of Berry phase in a solid-state spin qubit
- Noise-resistant control for a spin qubit array
- Robust quantum gates for singlet-triplet spin qubits using composite pulses
- Geometric phases in quantum information
- Universal quantum gates based on a pair of orthogonal cyclic states: Application to NMR systems
- Single-Loop and Composite-Loop Realization of Nonadiabatic Holonomic Quantum Gates in a Decoherence-Free Subspace
- Nonadiabatic geometric quantum computation with parametrically tunable coupling
- Entanglement generation in superconducting qubits using holonomic operations
- Realization of holonomic single-qubit operations
- Implementing universal nonadiabatic holonomic quantum gates with transmons
- Experimental Realization of Nonadiabatic Holonomic Single-Qubit Quantum Gates\\ with Optimal Control in a Trapped Ion
- Geometric Phase Gates with Adiabatic Control in Electron Spin Resonance
- Achieving High-Fidelity Single-Qubit Gates in a Strongly Driven Charge Qubit with Charge Noise
- Non-adiabatic geometrical quantum gates in semiconductor quantum dots
- A decoherence-free subspace in a charge quadrupole qubit
- Holonomic quantum gates: A semiconductor-based implementation
- Entangling distant resonant exchange qubits via circuit quantum electrodynamics
- Fast holonomic quantum computation on superconducting circuits with optimal control
- Coupling Two Spin Qubits with a High-Impedance Resonator
- State-conditional coherent charge qubit oscillations in a Si/SiGe quadruple quantum dot
- High-fidelity geometric gate for silicon-based spin qubits
- Fast holonomic quantum computation based on solid-state spins with all-optical control
- Electric nonadiabatic geometric entangling gates on spin qubits
- Achieving High Fidelity Single Qubit Gates in a Strongly Driven Silicon Quantum Dot Hybrid Qubit
- Correlated spectrum of distant semiconductor qubits coupled by microwave photons
- Quantum-limited measurement of spin qubits via curvature coupling to a cavity
- Noise-compensating pulses for electrostatically controlled silicon spin qubits
- Adiabatic two-qubit gates in capacitively coupled quantum dot hybrid qubits
- Directly accessible entangling gates for capacitively coupled singlet-triplet qubits
- High-fidelity single-qubit gates in a strongly driven quantum dot hybrid qubit with charge noise
- Spin decoherence in a two-qubit CPHASE gate: the critical role of tunneling noise
- Non-adiabatic geometric quantum computation with trapped ions
- Fast pulse sequences for dynamically corrected gates in single-triplet qubits
- Enhancing the dipolar coupling of a - qubit with a transverse sweet spot
- High fidelity ac gate operations of the quantum dot hybrid qubit
- Towards quantum internet and non-local communication in position based qubits
- Properties of Coupled Single-Electron Lines
- All-microwave holonomic control of an electron-nuclear two-qubit register in diamond
- Universal non-adiabatic geometric manipulation of pseudo-spin charge qubits
- Realization of universal nonadiabatic geometric control on decoherence-free qubits in the XY model
- Effective Hamiltonian theory of the geometric evolution of quantum systems