Robust quantum gates for stochastic time-varying noise
arXiv:1705.06150 · doi:10.1103/PhysRevA.95.062325
Abstract
How to effectively construct robust quantum gates for time-varying noise is a very important but still outstanding problem. Here we develop a systematic method to find pulses for quantum gate operations robust against both low- and high-frequency (comparable to the qubit transition frequency) stochastic time-varying noise. Our approach, taking into account the noise properties of quantum computing systems, can output single smooth pulses in the presence of multi-sources of noise. Furthermore, our method can be applied to different system models and noise models, and will make essential steps toward constructing high-fidelity and robust quantum gates for fault-tolerant quantum computation. Finally, we discuss and compare the gate operation performance by our method with that by the filter-transfer-function method.
10 pages, 6 figures; Accepted by Phys. Rev. A
References in corpus (50)
- Surface codes: Towards practical large-scale quantum computation
- Driven coherent oscillations of a single electron spin in a quantum dot
- NMR Techniques for Quantum Control and Computation
- An addressable quantum dot qubit with fault-tolerant control fidelity
- A Two Qubit Logic Gate in Silicon
- Charge noise and spin noise in a semiconductor quantum device
- Optimally robust shortcuts to population inversion in two-level quantum systems
- Robust quantum control by shaped pulse
- Dynamically Error-Corrected Gates for Universal Quantum Computation
- Tackling Systematic Errors in Quantum Logic Gates with Composite Rotations
- Arbitrarily accurate composite pulses
- Optimal Dynamical Decoherence Control of a Qubit
- Composite pulses for robust universal control of singlet-triplet qubits
- Review of Decoherence Free Subspaces, Noiseless Subsystems, and Dynamical Decoupling
- Arbitrarily Accurate Dynamical Control in Open Quantum Systems
- High fidelity quantum gates via dynamical decoupling
- Optimal control of a qubit coupled to a non-Markovian environment
- Experimental noise filtering by quantum control
- Arbitrary quantum control of qubits in the presence of universal noise
- Sampling-based learning control of inhomogeneous quantum ensembles
- Coherence-protected Quantum Gate by Continuous Dynamical Decoupling in Diamond
- A General Transfer-Function Approach to Noise Filtering in Open-Loop Quantum Control
- Local observation of antibunching in a trapped Fermi gas
- Analog control of open quantum systems under arbitrary decoherence
- Dynamical Quantum Error Correction of Unitary Operations with Bounded Controls
- Noise-resistant control for a spin qubit array
- Robust control of quantum gates via sequential convex programming
- Robust quantum gates for singlet-triplet spin qubits using composite pulses
- Robustness of composite pulses to time-dependent control noise
- Fast and robust population transfer in two-level quantum systems with dephasing noise and/or systematic frequency errors
- Intrinsic spin fluctuations reveal the dynamical response function of holes coupled to nuclear spin baths in (In,Ga)As quantum dots
- Robust manipulation of superconducting qubits in the presence of fluctuations
- Optimal control for non-Markovian open quantum systems
- Automated Synthesis of Dynamically Corrected Quantum Gates
- Implementation of dynamically corrected gates for single-spin qubits
- Learning robust control for generating universal quantum gates
- Concatenated composite pulses compensating simultaneous systematic errors
- Robust site-resolved quantum gates in an optical lattice via inhomogeneous control
- Optimal control of fast and high-fidelity quantum gates with electron and nuclear spins of a nitrogen-vacancy center in diamond
- Decoherence control: Universal protection of two-qubit states and two-qubit gates using continuous driving fields
- Experimental protection of quantum gates against decoherence and control errors
- Optimal control for fast and high-fidelity quantum gates in coupled superconducting flux qubits
- Designing Robust Unitary Gates: Application to Concatenated Composite Pulse
- Noise-compensating pulses for electrostatically controlled silicon spin qubits
- Task-dependent control of open quantum systems
- Optimal control of quantum gates in an exactly solvable non-Markovian open quantum bit system
- Noise filtering of composite pulses for singlet-triplet qubits
- Minimal and Robust Composite Two-Qubit Gates with Ising-Type Interaction
- Protecting the operation from general and residual errors by continuous dynamical decoupling
- Continuously decoupling a Hadamard quantum gate from independent classes of errors
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- Learning Robust and High-Precision Quantum Controls
- Achieving robust and high-fidelity quantum control via spectral phase optimization
- Robust quantum gates using smooth pulses and physics-informed neural networks
- Supervised learning for robust quantum control in composite-pulse systems
- Filter Functions for Quantum Processes under Correlated Noise
- High-fidelity and robust two-qubit gates for quantum-dot spin qubits in silicon
- Analytic Filter Function Derivatives for Quantum Optimal Control
- qopt: An experiment-oriented Qubit Simulation and Quantum Optimal Control Package
- Dynamically corrected gates in silicon singlet-triplet spin qubits
- Local Gradient Optimization of Modular Entangling Sequences
- Influence of Random Telegraph Noise on Quantum Bit Gate Operation
- Local gradient optimization of leakage-suppressing entangling sequences
- Higher-order protection of quantum gates: Hamiltonian engineering coordinated with dynamical decoupling
- Evolutionary reduction of the laser noise impact on quantum gates