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, "δJ-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%-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.
- Publication:
-
Physical Review B
- Pub Date:
- October 2014
- DOI:
- 10.1103/PhysRevB.90.155306
- arXiv:
- arXiv:1407.1555
- Bibcode:
- 2014PhRvB..90o5306W
- Keywords:
-
- 03.67.Pp;
- 03.67.Lx;
- 73.21.La;
- Quantum error correction and other methods for protection against decoherence;
- Quantum computation;
- Quantum dots;
- Condensed Matter - Mesoscale and Nanoscale Physics;
- Quantum Physics
- E-Print:
- 8 pages, 5 figures