Noise-compensating pulses for electrostatically controlled silicon spin qubits

Abstract

We study the performance of SUPCODE---a family of dynamically correcting pulses designed to cancel simultaneously both Overhauser and charge noise for singlet-triplet spin qubits---adapted to silicon devices with electrostatic control. We consider both natural Si and isotope-enriched Si systems, and in each case we investigate the behavior of individual gates under static noise and perform randomized benchmarking to obtain the average gate error under realistic 1/f noise. We find that in most cases SUPCODE pulses offer roughly an order of magnitude reduction in gate error, and especially in the case of isotope-enriched Si, SUPCODE yields gate operations of very high fidelity. We also develop a version of SUPCODE that cancels the charge noise only, "$\delta J$-SUPCODE", which is particularly beneficial for isotope-enriched Si devices where charge noise dominates Overhauser noise, offering a level of error reduction comparable to the original SUPCODE while yielding gate times that are 30% to 50% shorter. Our results show that the SUPCODE noise-compensating pulses provide a fast, simple, and effective approach to error suppression, bringing gate errors well below the quantum error correction threshold in principle.

8 pages, 5 figures

References in corpus (6)

• Randomized Benchmarking of Quantum Gates
• Demonstration of Entanglement of Electrostatically Coupled Singlet-Triplet Qubits
• Solid state quantum memory using the 31P nuclear spin
• Electrometry Using Coherent Exchange Oscillations in a Singlet-Triplet-Qubit
• Noise-resistant control for a spin qubit array
• Electrostically defined few-electron double quantum dot in silicon

Cited by in corpus (2)

• Nonequilibrium-induced enhancement of dynamical quantum coherence and entanglement of spin arrays
• Benchmarking of dynamically corrected gates for the exchange-only spin qubit in $1/f$ noise environment