Self-Consistent Calibration of Quantum-Gate Sets

@article{Cerfontaine2020SelfConsistentCO,
  title={Self-Consistent Calibration of Quantum-Gate Sets},
  author={Pascal Cerfontaine and Ren'e Otten and Hendrik Bluhm},
  journal={Physical review applied},
  year={2020},
  volume={13}
}
The precise and automated calibration of quantum gates is a key requirement for building a reliable quantum computer. Unlike errors from decoherence, systematic errors can in principle be completely removed by tuning experimental parameters. Here, we present an iterative calibration routine which can remove systematic gate errors on several qubits. A central ingredient is the construction of pulse sequences that extract independent indicators for every linearly independent error generator. We… 

Figures and Tables from this paper

High-fidelity single- and two-qubit gates for two-electron spin qubits
A key ingredient for fault-tolerant quantum computers are sufficiently accurate logic gates on single and multiple qubits in the presence of decohering noise. In this thesis, we theoretically develop
Semi-device-dependent blind quantum tomography
TLDR
It is numerically demonstrated that blind quantum tomography is possible by exploiting low-rank assumptions in a practical setting inspired by an implementation of trapped ions using constrained alternating optimization.
Filter-function formalism and software package to compute quantum processes of gate sequences for classical non-Markovian noise
Correlated, non-Markovian noise is present in many solid-state systems employed as hosts for quantum information technologies, significantly complicating the realistic theoretical description of
High-fidelity gate set for exchange-coupled singlet-triplet qubits
Qubit arrays with access to high-fidelity single- and two-qubit gates are a key ingredient for building a quantum computer. As semiconductor-based devices with several qubits become available, issues
Closed-loop control of a GaAs-based singlet-triplet spin qubit with 99.5% gate fidelity and low leakage
TLDR
Pulse optimization and closed-loop control are used to achieve a gate fidelity of 99.5% for exchange-based single-qubit gates of two-electron spin qubits in GaAs, which opens new perspectives for microwave-free control of singlet-triplet qubitsIn GaAs and other materials.
Simultaneous Operations in a Two-Dimensional Array of Singlet-Triplet Qubits
Published in: PRX Quantum DOI: 10.1103/PRXQuantum.2.040306 Publication date: 2021 Document version Publisher's PDF, also known as Version of record Document license: CC BY Citation for published
Theory of Quantum System Certification
TLDR
This tutorial explains prominent protocols for certifying the physical layer of quantum devices described by quantum states and processes, and provides an introduction to powerful mathematical methods, widely used in quantum information theory, in order to derive theoretical guarantees for the protocols.
Nonlinear signal distortion corrections through quantum sensing
Having accurate gate generation is essential for precise control of a quantum system. The generated gate usually suffers from linear and nonlinear distortion. Previous works have demonstrated how to
Operational, gauge-free quantum tomography
TLDR
This work introduces and implements efficient operational tomography, which uses experimental observables as these model parameters, and addresses a problem of ambiguity in representation that arises in current tomographic approaches (the gauge problem).
Sampling and the complexity of nature
TLDR
The quantum sign problem is identified as a root of the computational intractability of quantum output probabilities and it turns out that the intricate structure of the probability distributions the sign problem gives rise to, prohibits their verification from few samples.

References

SHOWING 1-10 OF 32 REFERENCES
Robust Calibration of a Universal Single-Qubit Gate-Set via Robust Phase Estimation
TLDR
This work develops a parameter estimation technique, which can gauge key systematic parameters in a universal single-qubit gate-set with provable robustness and efficiency, and achieves the optimal efficiency, Heisenberg scaling, and do so without entanglement and entirely within a single- qubit Hilbert space.
Autonomous calibration of single spin qubit operations
TLDR
A new approach autonomously controls and calibrates single qubit quantum operations in diamond, with minimal human intervention, is reported that could be extended to multi-qubit operations.
Demonstration of qubit operations below a rigorous fault tolerance threshold with gate set tomography
TLDR
Gate set tomography is used to completely characterize operations on a trapped-Yb+-ion qubit and it is demonstrated with greater than 95% confidence that they satisfy a rigorous threshold for FTQEC (diamond norm ≤6.7 × 10−4).
Scalable in situ qubit calibration during repetitive error detection
TLDR
This work presents a method to optimize qubit control parameters during error detection which is compatible with large-scale qubit arrays and is scalable to systems of arbitrary size, providing a path towards controlling the large numbers of qubits needed for a fault-tolerant quantum computer.
High-fidelity single-qubit gates for two-electron spin qubits in GaAs.
TLDR
Numerically minimize the effect of decoherence and show, theoretically, that quantum gates with fidelities higher than 99.9% are achievable and present a self-consistent tuning protocol which should allow the elimination of individual systematic gate errors directly in an experiment.
Bootstrap tomography of the pulses for quantum control.
TLDR
This work presents a protocol for pulse error analysis, specifically tailored for a wide range of the single solid-state electron spins, using a single electron spin of a nitrogen-vacancy center in diamond.
Bounding quantum gate error rate based on reported average fidelity
Remarkable experimental advances in quantum computing are exemplified by recent announcements of impressive average gate fidelities exceeding 99.9% for single-qubit gates and 99% for two-qubit gates.
Characterizing Quantum Gates via Randomized Benchmarking
We describe and expand upon the scalable randomized benchmarking protocol proposed in Phys. Rev. Lett. 106, 180504 (2011) which provides a method for benchmarking quantum gates and estimating the
Scalable and robust randomized benchmarking of quantum processes.
TLDR
It is proved that the protocol provides an efficient and reliable estimate of the average error-rate for a set operations (gates) under a very general noise model that allows for both time and gate-dependent errors.
Optimal quantum control using randomized benchmarking.
TLDR
This method is able to correct parameters so that control errors no longer dominate and is suitable for automated and closed-loop optimization of experimental systems.
...
1
2
3
4
...