Noise-resistant control for a spin qubit array

Abstract

We develop a systematic method of performing corrected gate operations on an array of exchange-coupled singlet-triplet qubits in the presence of both fluctuating nuclear Overhauser field gradients and charge noise. The single-qubit control sequences we present have a simple form, are relatively short, and form the building blocks of a corrected CNOT gate when also implemented on the inter-qubit exchange link. This is a key step towards enabling large-scale quantum computation in a semiconductor-based architecture by facilitating error reduction below the quantum error correction threshold for both single-qubit and multi-qubit gate operations.

5 pages + 4 pages supplementary material

References in corpus (22)

• Demonstration of Entanglement of Electrostatically Coupled Singlet-Triplet Qubits
• Universal quantum control of two-electron spin quantum bits using dynamic nuclear polarization
• Enhancing the Coherence of a Spin Qubit by Operating it as a Feedback Loop That Controls its Nuclear Spin Bath
• Two-qubit Gate of Combined Single Spin Rotation and Inter-dot Spin Exchange in a Double Quantum Dot
• Electron Spin Dephasing due to Hyperfine Interactions with a Nuclear Spin Bath
• Scaling of Dynamical Decoupling for Spin Qubits
• Composite pulses for robust universal control of singlet-triplet qubits
• Charge fluctuation induced dephasing of exchange coupled spin qubits
• Fidelity of Single Qubit Maps
• Electron spin decoherence in isotope-enriched silicon
• Interlaced Dynamical Decoupling and Coherent Operation of a Singlet-Triplet Qubit
• Dephasing of Si spin qubits due to charge noise
• Measurement of Temporal Correlations of the Overhauser Field in a Double Quantum Dot
• Dynamical Quantum Error Correction of Unitary Operations with Bounded Controls
• Nonperturbative master equation solution of central spin dephasing dynamics
• Robust Ising Gates for Practical Quantum Computation
• Automated Synthesis of Dynamically Corrected Quantum Gates
• Concatenated composite pulses compensating simultaneous systematic errors
• Exchange-based CNOT gates for singlet-triplet qubits with spin orbit interaction
• Controllable exchange coupling between two singlet-triplet qubits
• Average Fidelity in n-Qubit systems
• Designing Robust Unitary Gates: Application to Concatenated Composite Pulse

Cited by in corpus (72)

• Suppressing qubit dephasing using real-time Hamiltonian estimation
• Robust quantum gates for singlet-triplet spin qubits using composite pulses
• High-Fidelity Single-Qubit Gates for Two-Electron Spin Qubits in GaAs
• Implementation of dynamically corrected gates for single-spin qubits
• Geometric formalism for constructing arbitrary single-qubit dynamically corrected gates
• A decoherence-free subspace in a charge quadrupole qubit
• The fastest pulses that implement dynamically corrected gates
• Robust quantum control using smooth pulses and topological winding
• Doubly geometric quantum control
• Exchange-based two-qubit gate for singlet-triplet qubits
• Two-Qubit Couplings of Singlet-Triplet Qubits Mediated by One Quantum State
• Cooperative pulses in robust quantum control: Application to broadband Ramsey-type pulse sequence elements
• Neural-network-designed pulse sequences for robust control of singlet-triplet qubits
• Dynamically corrected gates for an exchange-only qubit
• Geometrical Formalism for Dynamically Corrected Gates in Multiqubit Systems
• Robust single-qubit gates by composite pulses in three-level systems
• Ultrahigh-fidelity composite rotational quantum gates
• General solution to inhomogeneous dephasing and smooth pulse dynamical decoupling
• Crosstalk error correction through dynamical decoupling of single-qubit gates in capacitively coupled singlet-triplet semiconductor spin qubits
• Robust quantum gates for stochastic time-varying noise
• Filter function formalism beyond pure dephasing and non-Markovian noise in singlet-triplet qubits
• Six-electron semiconductor double quantum dot qubits
• High-fidelity quantum control by polychromatic pulse trains
• Analytically parameterized solutions for robust quantum control using smooth pulses
• Robust Two-Qubit Gates for Exchange-Coupled Qubits
• Deep reinforcement learning for universal quantum state preparation via dynamic pulse control
• Hyperfine interaction induced dephasing of coupled spin qubits in semiconductor double quantum dots
• Noise-compensating pulses for electrostatically controlled silicon spin qubits
• Directly accessible entangling gates for capacitively coupled singlet-triplet qubits
• Noise filtering of composite pulses for singlet-triplet qubits
• Narrowband and passband composite pulses for variable rotations
• Environmental noise effects on entanglement fidelity of exchange-coupled semiconductor spin qubits
• Composite pulses with errant phases
• Universal Composite Pulses for Efficient Population Inversion with an Arbitrary Excitation Profile
• Supervised learning for robust quantum control in composite-pulse systems
• Improving the gate fidelity of capacitively coupled spin qubits
• Capacitively coupled singlet-triplet qubits in the double charge resonant regime
• Negative exchange interactions in coupled few-electron quantum dots
• Fast control of semiconductor qubits beyond the rotating-wave approximation
• Fast pulse sequences for dynamically corrected gates in single-triplet qubits
• High-fidelity composite quantum gates for Raman qubits
• Charge-noise tolerant exchange gates of singlet-triplet qubits in asymmetric double quantum dots
• Interplay of exchange and superexchange in triple quantum dots
• Suppression of charge noise using barrier control of a singlet-triplet qubit
• Designing dynamically corrected gates robust to multiple noise sources using geometric space curves
• Dynamically corrected gates in silicon singlet-triplet spin qubits
• Error correction for gate operations in systems of exchange-coupled singlet-triplet qubits in double quantum dots
• Noise-induced collective quantum state preservation in spin qubit arrays
• Single-tone pulse sequences and robust two-tone shaped pulses for three silicon spin qubits with always-on exchange
• Reverse engineering of one-qubit filter functions with dynamical invariants
• Multi-qubit gates protected by adiabaticity and dynamical decoupling applicable to donor qubits in silicon
• Benchmarking of dynamically corrected gates for the exchange-only spin qubit in $1/f$ noise environment
• Implementation of geometric quantum gates on microwave-driven semiconductor charge qubits
• Three-state coherent control using narrowband and passband sequences
• Ultrahigh-fidelity composite quantum phase gates
• Spin-qubit noise spectroscopy from randomized benchmarking by supervised learning
• A robust operating point for capacitively coupled singlet-triplet qubits
• Universal quantum control with dynamical correction
• A diverse set of two-qubit gates for spin qubits in semiconductor quantum dots
• Investigation of bi-particle states in gate-array-controlled quantum-dot systems aided by machine learning techniques
• Local Gradient Optimization of Modular Entangling Sequences
• Variational quantum compiling for three-qubit gates design in quantum dots
• Minimal Non-orthogonal Gate Decomposition for Qubits with Limited Control
• Ultrabroadband, ultranarrowband and ultrapassband composite polarisation half-wave plates, ultrabroadband composite polarisation pi-rotators and on the quantum-classical analogy
• Construction of Arbitrary Robust One-Qubit Operations Using Planar Geometry
• Modularized and Scalable Compilation for Double Quantum Dot Quatum Computing
• Limitations on the maximal level of entanglement of two singlet-triplet qubits in GaAs quantum dots
• Negative exchange interaction in Si quantum dot arrays via valley-phase induced ${\mathbb{Z}}_2$ gauge field
• Measuring and correcting nanosecond pulse distortions in quantum-dot spin qubits
• Efficient learning and optimizing non-Gaussian correlated noise in digitally controlled qubit systems
• O(1) benchmarking of precise rotation in a spin-squeezed Bose-Einstein condensate
• Jenga-Krotov algorithm: Efficient compilation of multi-qubit gates for exchange-only qubits