Robust quantum gates for stochastic time-varying noise

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 (21)

• Surface codes: Towards practical large-scale quantum computation
• Driven coherent oscillations of a single electron spin in a quantum dot
• An addressable quantum dot qubit with fault-tolerant control fidelity
• 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
• High fidelity quantum gates via dynamical decoupling
• Experimental noise filtering by quantum control
• A General Transfer-Function Approach to Noise Filtering in Open-Loop Quantum Control
• Local observation of antibunching in a trapped Fermi gas
• Dynamical Quantum Error Correction of Unitary Operations with Bounded Controls
• Noise-resistant control for a spin qubit array
• Concatenated composite pulses compensating simultaneous systematic errors
• Optimal control of fast and high-fidelity quantum gates with electron and nuclear spins of a nitrogen-vacancy center in diamond
• Experimental protection of quantum gates against decoherence and control errors
• Optimal control for fast and high-fidelity quantum gates in coupled superconducting flux qubits
• Noise-compensating pulses for electrostatically controlled silicon spin qubits
• Optimal control of quantum gates in an exactly solvable non-Markovian open quantum bit system
• Minimal and Robust Composite Two-Qubit Gates with Ising-Type Interaction
• Protecting the $\sqrt{SWAP}$ operation from general and residual errors by continuous dynamical decoupling