Multivariate quantum reservoir computing with discrete and continuous variable systems
- URL: http://arxiv.org/abs/2604.08427v1
- Date: Thu, 09 Apr 2026 16:32:09 GMT
- Title: Multivariate quantum reservoir computing with discrete and continuous variable systems
- Abstract summary: Quantum reservoir computing is a promising paradigm for processing temporal data.<n>We establish an extensive framework for multivariate data processing in quantum reservoir computing.<n>Our findings reveal that the optimal encoding method is highly dependent on the reservoir system and the specific task.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Quantum reservoir computing is a promising paradigm for processing temporal data. So far, the primary focus has been on univariate time series. However, the most relevant and complex real-world data is multidimensional. In this paper, we establish an extensive framework for multivariate data processing in quantum reservoir computing. We propose and evaluate three multivariate encoding schemes and introduce the mixing capacity as a novel metric to evaluate the effectiveness with which a reservoir combines independent data streams. The computational performance of these proposed schemes is systematically assessed using this metric, as well as on the chaotic Lorenz-63 system prediction task, for two quantum reservoirs based on discrete and continuous-variable quantum systems. Furthermore, we relate the computational performance on these tasks to the underlying quantum properties of the reservoir. Our findings reveal that the optimal encoding method is highly dependent on the reservoir system and the specific task, underlining the importance of a task-specific input design. Moreover, we observe that peak computational performance coincides with the presence of non-classical effects, which indicates that quantum resources play a role in processing multivariate data.
Related papers
- Minimal Quantum Reservoirs with Hamiltonian Encoding [72.27323884094953]
We investigate a minimal architecture for quantum reservoir computing based on Hamiltonian encoding.<n>This approach circumvents many of the experimental overheads typically associated with quantum machine learning.
arXiv Detail & Related papers (2025-05-28T16:50:05Z) - An Efficient Quantum Classifier Based on Hamiltonian Representations [50.467930253994155]
Quantum machine learning (QML) is a discipline that seeks to transfer the advantages of quantum computing to data-driven tasks.<n>We propose an efficient approach that circumvents the costs associated with data encoding by mapping inputs to a finite set of Pauli strings.<n>We evaluate our approach on text and image classification tasks, against well-established classical and quantum models.
arXiv Detail & Related papers (2025-04-13T11:49:53Z) - Input-dependence in quantum reservoir computing [4.903263899016404]
Quantum reservoir computing is an emergent field in which quantum dynamical systems are exploited for temporal information processing.<n>In previous work, it was found a feature that makes a quantum reservoir valuable: contractive dynamics of the quantum reservoir channel toward input-dependent fixed points.<n>This work contributes to analyzing valuable quantum reservoirs in terms of their input dependence.
arXiv Detail & Related papers (2024-12-11T11:59:11Z) - Efficient Learning for Linear Properties of Bounded-Gate Quantum Circuits [62.46800898243033]
Recent progress in quantum learning theory prompts a question: can linear properties of a large-qubit circuit be efficiently learned from measurement data generated by varying classical inputs?<n>We prove that the sample complexity scaling linearly in $d$ is required to achieve a small prediction error, while the corresponding computational complexity may scale exponentially in d.<n>We propose a kernel-based method leveraging classical shadows and truncated trigonometric expansions, enabling a controllable trade-off between prediction accuracy and computational overhead.
arXiv Detail & Related papers (2024-08-22T08:21:28Z) - Multimodal deep representation learning for quantum cross-platform
verification [60.01590250213637]
Cross-platform verification, a critical undertaking in the realm of early-stage quantum computing, endeavors to characterize the similarity of two imperfect quantum devices executing identical algorithms.
We introduce an innovative multimodal learning approach, recognizing that the formalism of data in this task embodies two distinct modalities.
We devise a multimodal neural network to independently extract knowledge from these modalities, followed by a fusion operation to create a comprehensive data representation.
arXiv Detail & Related papers (2023-11-07T04:35:03Z) - Classical and quantum reservoir computing: development and applications
in machine learning [0.0]
Reservoir computing is a novel machine learning algorithm that uses a nonlinear dynamical system to learn complex temporal patterns from data.
The research demonstrates the algorithm's robustness and adaptability across very different domains, including agricultural time series forecasting.
The last contribution of this thesis focuses on optimizing algorithm designs for quantum reservoir computing.
arXiv Detail & Related papers (2023-10-11T13:01:05Z) - Quantum circuits for the preparation of spin eigenfunctions on quantum
computers [63.52264764099532]
Hamiltonian symmetries are an important instrument to classify relevant many-particle wavefunctions.
This work presents quantum circuits for the exact and approximate preparation of total spin eigenfunctions on quantum computers.
arXiv Detail & Related papers (2022-02-19T00:21:46Z) - Physical reservoir computing using finitely-sampled quantum systems [0.0]
Reservoir computing exploits the nonlinear dynamics of a physical reservoir to perform complex time-series processing tasks.
Here we describe a framework for reservoir computing with nonlinear quantum reservoirs under continuous measurement.
arXiv Detail & Related papers (2021-10-26T16:46:14Z) - Nonlinear input transformations are ubiquitous in quantum reservoir
computing [0.0]
We study the input encoding component of contemporary quantum reservoir computing schemes.
We find that across the majority of schemes the input encoding implements a nonlinear transformation on the input data.
Our findings will impact the design of future quantum reservoirs.
arXiv Detail & Related papers (2021-06-30T23:08:21Z) - Reservoir Computing Approach to Quantum State Measurement [0.0]
Reservoir computing is a resource-efficient solution to quantum measurement of superconducting multi-qubit systems.
We show how to operate this device to perform two-qubit state tomography and continuous parity monitoring.
arXiv Detail & Related papers (2020-11-19T04:46:15Z) - Quantum Non-equilibrium Many-Body Spin-Photon Systems [91.3755431537592]
dissertation concerns the quantum dynamics of strongly-correlated quantum systems in out-of-equilibrium states.
Our main results can be summarized in three parts: Signature of Critical Dynamics, Driven Dicke Model as a Test-bed of Ultra-Strong Coupling, and Beyond the Kibble-Zurek Mechanism.
arXiv Detail & Related papers (2020-07-23T19:05:56Z)
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.