Extending comb-based spectral estimation to multiaxis quantum noise

@article{PazSilva2019ExtendingCS,
  title={Extending comb-based spectral estimation to multiaxis quantum noise},
  author={Gerardo A. Paz-Silva and Leigh M. Norris and Felix Beaudoin and Lorenza Viola},
  journal={Physical Review A},
  year={2019}
}
We show how to achieve full spectral characterization of general multiaxis additive noise. Our pulsed spectral estimation technique is based on sequence repetition and frequency-comb sampling and is applicable even to models where a large qubit energy-splitting is present (as is typically the case for spin qubits in semiconductors, for example), as long as the noise is stationary and a second-order (Gaussian) approximation to the controlled reduced dynamics is viable. Our new result is crucial… 
View PDF on arXiv
10 Citations
Background Citations
5
Methods Citations
1

Figures from this paper

10 Citations

Optimally band-limited controls for quantum multi-axis spectral estimation
The fragility of quantum systems makes them ideally suited for sensing applications at the nanoscale. However, interpreting the output signal of a qubit-based sensor is generally complicated by…
Two-Qubit Spectroscopy of Spatiotemporally Correlated Quantum Noise in Superconducting Qubits
Noise that exhibits significant temporal and spatial correlations across multiple qubits can be especially harmful to both fault-tolerant quantum computation and quantum-enhanced metrology. However,…
Impacts of noise and structure on quantum information encoded in a quantum memory
TLDR
This work studies the correlation of the structure of quantum information with physical noise models of various possible quantum memory implementations, and provides comparisons between quantum hardware with different structure, including both qubit- and qudit-based quantum memories.
Two-qubit sweet spots for capacitively coupled exchange-only spin qubits
The implementation of high fidelity two-qubit gates is a bottleneck in the progress toward universal quantum computation in semiconductor quantum dot qubits. We study capacitive coupling between two…
Machine learning approach for quantum non-Markovian noise classification
TLDR
This paper train and then validate support vector machine, multi-layer perceptron and recurrent neural network models with different complexity and accuracy, to solve supervised binary classification problems and demonstrates the highacy of such tools in classifying noisy quantum dynamics using data sets collected from realizations of the quantum system dynamics.
Quantum Error Source and Channel Coding
TLDR
It is argued that quantum error Correction is more aptly viewed as source compression in the sense of Shannon, and that Shannon's source and channel coding theorems provide bounds on the overhead rates of quantum post-selection tasks, such as quantum error correction, at the level of the encoded quantum register.
Relationship between subjecting the qubit to dynamical decoupling and to a sequence of projective measurements
We consider a qubit coupled to another system (its environment), and discuss the relationship between the effects of subjecting the qubit to either a dynamical decoupling sequence of unitary…
QDataset: Quantum Datasets for Machine Learning
TLDR
The QDataSet is introduced, a quantum dataset designed specifically to facilitate the training and development of QML algorithms, which comprises 52 high-quality publicly available datasets derived from simulations of one and two-qubit systems evolving in the presence and/or absence of noise.
Characterization and control of open quantum systems beyond quantum noise spectroscopy
TLDR
This work presents a general purpose characterization and control solution making use of a deep learning framework composed of quantum features, and provides the framework, sample datasets, trained models, and their performance metrics.
Simultaneous Spectral Estimation of Dephasing and Amplitude Noise on a Qubit Sensor via Optimally Band-Limited Control
TLDR
This work presents a sensing protocol based on optimally band-limited ``Slepian functions'' that provides narrowband sensing of ambient dephasing noise, coupling additively to the sensor along the z axis, while permitting isolation of the target noise spectrum from other contributions coupling along a different axis.

References

SHOWING 1-10 OF 58 REFERENCES
Qubit Noise Spectroscopy for Non-Gaussian Dephasing Environments.
TLDR
It is proved that access to a high time resolution is key to achieving spectral reconstruction over an extended bandwidth, overcoming the limitations of existing schemes.
Multiqubit Spectroscopy of Gaussian Quantum Noise
We introduce multipulse quantum noise spectroscopy protocols for spectral estimation of the noise affecting multiple qubits coupled to Gaussian dephasing environments including both classical and…
Dynamical decoupling sequences for multi-qubit dephasing suppression and long-time quantum memory
We consider a class of multi-qubit dephasing models that combine classical noise sources and linear coupling to a bosonic environment, and are controlled by arbitrary sequences of dynamical…
Application of optimal band-limited control protocols to quantum noise sensing
TLDR
D discrete prolate spheroidal sequences are exploited to synthesize provably optimal narrowband controls ideally suited to spectral estimation of a qubit’s noisy environment, and classical multitaper techniques for spectral analysis can be ported to the quantum domain and combined with Bayesian estimation tools to experimentally reconstruct complex noise spectra.
Optimally band-limited spectroscopy of control noise using a qubit sensor
TLDR
This work quantitatively characterize the performance of both single- and multitaper Slepian estimation protocols by numerically reconstructing representative spectral densities, and demonstrates their advantage over dynamical-decoupling noise spectroscopy approaches in reducing bias from spectral leakage as well as in compensating for aliasing effects while maintaining a desired sampling resolution.
Environmental noise spectroscopy with qubits subjected to dynamical decoupling
A qubit subjected to pure dephasing due to classical Gaussian noise can be turned into a spectrometer of this noise by utilizing its readout under properly chosen dynamical decoupling (DD) sequences…
Nonlinear single-spin spectrum analyzer.
TLDR
A nonperturbative analytical model shows a nonlinear signal dependence on noise power, resulting in a spectral resolution beyond the Fourier limit as well as frequency mixing and develops a noise characterization scheme adapted to this nonlinearity.
Accuracy of dynamical-decoupling-based spectroscopy of Gaussian noise
The fundamental assumption of dynamical decoupling based noise spectroscopy is that the coherence decay rate of qubit (or qubits) driven with a sequence of many pulses, is well approximated by the…
Ramsey interferometry in correlated quantum noise environments
We quantify the impact of spatio-temporally correlated Gaussian quantum noise on frequency estimation by Ramsey interferometry. While correlations in a classical noise environment can be exploited to…
Measuring the spectrum of colored noise by dynamical decoupling.
TLDR
Applying sequences of inversion pulses to the qubit system, a method for dynamical decoupling noise spectroscopy is developed that generates effective filter functions that probe the environmental spectral density without requiring assumptions about its shape.
...
...