journal article·2023-03-01Open access

Calibrating single-qubit gates by a two-dimensional Rabi oscillation

You Huang, Mohammad T Amawi, Francesco Poggiali, Fazhan Shi, Jiangfeng Du, Friedemann Reinhard

AIP Advances· Volume 13· Issue 3

Abstract

We present and analyze a simple scheme to calibrate single–qubit gates. It determines the amplitude and phase difference between a quadrature pair of drives, as well as their common detuning from the qubit resonance. The method is based on a two–dimensional Rabi oscillation, a sequence of two pulses of varying length sourced from the drive pair. We demonstrate error diagnosis using this scheme on an ensemble of nitrogen-vacancy centers in diamond and point out subtle pitfalls in its implementation.
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Research context

OpenAlex topics: Diamond and Carbon-based Materials Research · Quantum Information and Cryptography · Quantum and electron transport phenomena

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

CAS Key Laboratory of Microscale Magnetic Resonance and School of Physical Sciences, University of Science and Technology of China 1 , Hefei 230026, China

CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China 2 , Hefei 230026, China

Institute for Physics, Quantum Technology, University of Rostock 3 , Rostock, Germany

Department of Life, Light and Matter, Quantum Technology, University of Rostock 5 , Rostock, Germany

Physics Department, Technical University of Munich 4 , München, Germany

Munich Center for Quantum Science and Technology (MCQST) 6 , München, Germany

Funding

Deutsche Forschungsgemeinschaft · the European Union's Horizon 2020 Research and Innovation Program · National Key R&D Program of China · National Natural Science Foundation of China · Innovation Program for Quantum Science and Technology

References (22)

Show source-provided references
1. Sensitive absolute-gravity gradiometry using atom interferometry10.1103/physreva.65.033608 ↗
2. NMR-like control of a quantum bit superconducting circuit10.1103/physrevlett.93.157005 ↗
3. Generalized Ramsey excitation scheme with suppressed light shift10.1103/physrevlett.109.213002 ↗
4. Universal control and error correction in multi-qubit spin registers in diamond10.1038/nnano.2014.2 ↗
5. Quantum error correction in a solid-state hybrid spin register10.1038/nature12919 ↗
6. Nuclear magnetic resonance spectroscopy
7. Unitary control in quantum ensembles: Maximizing signal intensity in coherent spectroscopy10.1126/science.280.5362.421 ↗
8. Nmr techniques for quantum control and computation10.1103/revmodphys.76.1037 ↗
9. Robust calibration of a universal single-qubit gate set via robust phase estimation10.1103/physreva.92.062315 ↗
10. Self-consistent calibration of quantum-gate sets10.1103/physrevapplied.13.044071 ↗
11. Prescription for experimental determination of the dynamics of a quantum black box10.1080/09500349708231894 ↗
12. Self-consistent quantum process tomography10.1103/physreva.87.062119 ↗
13. Demonstration of qubit operations below a rigorous fault tolerance threshold with gate set tomography10.1038/ncomms14485 ↗
14. Randomized benchmarking of quantum gates10.1103/physreva.77.012307 ↗
15. Scalable and robust randomized benchmarking of quantum processes10.1103/physrevlett.106.180504 ↗
16. Efficient measurement of quantum gate error by interleaved randomized benchmarking10.1103/PhysRevLett.109.080505 ↗
17. Characterization of leakage errors via randomized benchmarking10.1088/1367-2630/18/4/043021 ↗
18. Estimating the coherence of noise10.1088/1367-2630/17/11/113020 ↗
19. A new “tune-up” NMR pulse cycle for minimizing and characterizing phase transients10.1016/0022-2364(81)90058-5 ↗
20. Accurate phase adjustment for multiple pulse NMR of solids10.1016/0022-2364(79)90226-9 ↗
21. Multiple-pulse sequences for precise transmitter phase alignment10.1016/0022-2364(88)90060-1 ↗
22. Bootstrap tomography of the pulses for quantum control10.1103/PhysRevLett.105.077601 ↗