A walk through of time series analysis on quantum computers
- URL: http://arxiv.org/abs/2205.00986v1
- Date: Mon, 2 May 2022 15:32:22 GMT
- Title: A walk through of time series analysis on quantum computers
- Authors: Ammar Daskin
- Abstract summary: We go through the quantum analogues of classical data preprocessing and forecasting with ARIMA models.
We discuss future directions and some of the tools/algorithms that can be used for temporal data analysis on quantum computers.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Because of the rotational components on quantum circuits, some quantum neural
networks based on variational circuits can be considered equivalent to the
classical Fourier networks. In addition, they can be used to predict Fourier
coefficients of continuous functions. Time series data indicates a state of a
variable in time. Since some time series data can be also considered as
continuous functions, we can expect quantum machine learning models to do do
many data analysis tasks successfully on time series data. Therefore, it is
important to investigate new quantum logics for temporal data processing and
analyze intrinsic relationships of data on quantum computers.
In this paper, we go through the quantum analogues of classical data
preprocessing and forecasting with ARIMA models by using simple quantum
operators requiring a few number of quantum gates. Then we discuss future
directions and some of the tools/algorithms that can be used for temporal data
analysis on quantum computers.
Related papers
- Efficient Learning for Linear Properties of Bounded-Gate Quantum Circuits [63.733312560668274]
Given a quantum circuit containing d tunable RZ gates and G-d Clifford gates, can a learner perform purely classical inference to efficiently predict its linear properties?
We prove that the sample complexity scaling linearly in d is necessary and sufficient to achieve a small prediction error, while the corresponding computational complexity may scale exponentially in d.
We devise a kernel-based learning model capable of trading off prediction error and computational complexity, transitioning from exponential to scaling in many practical settings.
arXiv Detail & Related papers (2024-08-22T08:21:28Z) - The curse of random quantum data [62.24825255497622]
We quantify the performances of quantum machine learning in the landscape of quantum data.
We find that the training efficiency and generalization capabilities in quantum machine learning will be exponentially suppressed with the increase in qubits.
Our findings apply to both the quantum kernel method and the large-width limit of quantum neural networks.
arXiv Detail & Related papers (2024-08-19T12:18:07Z) - Exponential quantum advantages in learning quantum observables from classical data [1.9662978733004604]
We prove quantum advantages for the physically relevant task of learning quantum observables from classical data.
Our results shed light on the utility of quantum computers for machine learning problems in the domain of quantum many body physics.
arXiv Detail & Related papers (2024-05-03T11:58:43Z) - A Model for Circuit Execution Runtime And Its Implications for Quantum
Kernels At Practical Data Set Sizes [0.5906031288935515]
We present a model for the total circuit execution time required on quantum circuits.
We also introduce the notion of an "effective number of quantum volume layers of a circuit"
At current speeds of quantum computers, our model predicts data sets can be processed in order a few hours.
arXiv Detail & Related papers (2023-07-11T02:38:22Z) - Quantum data learning for quantum simulations in high-energy physics [55.41644538483948]
We explore the applicability of quantum-data learning to practical problems in high-energy physics.
We make use of ansatz based on quantum convolutional neural networks and numerically show that it is capable of recognizing quantum phases of ground states.
The observation of non-trivial learning properties demonstrated in these benchmarks will motivate further exploration of the quantum-data learning architecture in high-energy physics.
arXiv Detail & Related papers (2023-06-29T18:00:01Z) - A Quantum Optical Recurrent Neural Network for Online Processing of
Quantum Times Series [0.7087237546722617]
We show that a quantum optical recurrent neural network (QORNN) can enhance the transmission rate of quantum channels.
We also show that our model can counteract similar memory effects if they are unwanted.
We run a small-scale version of this last task on the photonic processor Borealis.
arXiv Detail & Related papers (2023-05-31T19:19:25Z) - Quantum Machine Learning: from physics to software engineering [58.720142291102135]
We show how classical machine learning approach can help improve the facilities of quantum computers.
We discuss how quantum algorithms and quantum computers may be useful for solving classical machine learning tasks.
arXiv Detail & Related papers (2023-01-04T23:37:45Z) - Quantum Federated Learning with Quantum Data [87.49715898878858]
Quantum machine learning (QML) has emerged as a promising field that leans on the developments in quantum computing to explore large complex machine learning problems.
This paper proposes the first fully quantum federated learning framework that can operate over quantum data and, thus, share the learning of quantum circuit parameters in a decentralized manner.
arXiv Detail & Related papers (2021-05-30T12:19:27Z) - Information Scrambling in Computationally Complex Quantum Circuits [56.22772134614514]
We experimentally investigate the dynamics of quantum scrambling on a 53-qubit quantum processor.
We show that while operator spreading is captured by an efficient classical model, operator entanglement requires exponentially scaled computational resources to simulate.
arXiv Detail & Related papers (2021-01-21T22:18:49Z) - Learning temporal data with variational quantum recurrent neural network [0.5658123802733283]
We propose a method for learning temporal data using a parametrized quantum circuit.
This work provides a way to exploit complex quantum dynamics for learning temporal data.
arXiv Detail & Related papers (2020-12-21T10:47:28Z) - The effect of data encoding on the expressive power of variational
quantum machine learning models [0.7734726150561088]
Quantum computers can be used for supervised learning by treating parametrised quantum circuits as models that map data inputs to predictions.
Here we investigate how the strategy with which data is encoded into the model influences the expressive power of parametrised quantum circuits as function approximators.
arXiv Detail & Related papers (2020-08-19T18:00:11Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.