Statistical noise enhances quantumness benefits in spin-network quantum reservoir computing
- URL: http://arxiv.org/abs/2504.17837v1
- Date: Thu, 24 Apr 2025 17:50:51 GMT
- Title: Statistical noise enhances quantumness benefits in spin-network quantum reservoir computing
- Authors: Youssef Kora, Christoph Simon,
- Abstract summary: We investigate the effect of statistical noise in spin-network QRC on the possible performance benefits conferred by quantumness.<n>We find that reservoirs which enjoy a finite degree of quantum entanglement and coherence are more stable against the adverse effects of statistical noise on performance.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Quantum reservoir computing offers a promising approach to the utilization of complex quantum dynamics in machine learning. Statistical noise inevitably arises in real settings of quantum reservoir computing (QRC) due to the practical necessity of taking a small to moderate number of measurements. We investigate the effect of statistical noise in spin-network QRC on the possible performance benefits conferred by quantumness. As our measures of quantumness, we employ both quantum entanglement, which we quantify by the partial transpose of the density matrix, and coherence, which we quantify as the sum of the absolute values of the off-diagonal elements of the density matrix. We find that reservoirs which enjoy a finite degree of quantum entanglement and coherence are more stable against the adverse effects of statistical noise on performance compared to their unentangled, incoherent counterparts. Our results indicate that the potential benefit reservoir computers may derive from quantumness depends on the number of measurements used for training and testing, and may indeed be enhanced by statistical noise. These findings not only emphasize the importance of incorporating realistic noise models, but also suggest that the search for quantum advantage may be aided rather than impeded by the practical constraints of implementation within existing machines.
Related papers
- Role of coherence in many-body Quantum Reservoir Computing [3.4078654008228924]
We show how different quantum effects, such as quantum coherence and correlations, contribute to improving the performance in temporal tasks.
We critically assess the impact of finite measurement resources and noise on the reservoir's dynamics in different regimes.
arXiv Detail & Related papers (2024-09-26T11:06:08Z) - 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) - Power Characterization of Noisy Quantum Kernels [52.47151453259434]
We show that noise may make quantum kernel methods to only have poor prediction capability, even when the generalization error is small.
We provide a crucial warning to employ noisy quantum kernel methods for quantum computation.
arXiv Detail & Related papers (2024-01-31T01:02:16Z) - Estimate distillable entanglement and quantum capacity by squeezing useless entanglement [5.086696108576776]
Quantum Internet relies on quantum entanglement as a fundamental resource for secure and efficient quantum communication.
It remains challenging to accurately estimate the distillable entanglement and its closely related essential quantity, the quantum capacity.
We propose efficiently computable upper bounds for both quantities based on the idea that the useless entanglement within a state or a quantum channel does not contribute to the distillable entanglement or the quantum capacity.
arXiv Detail & Related papers (2023-03-13T16:02:18Z) - Potential and limitations of quantum extreme learning machines [55.41644538483948]
We present a framework to model QRCs and QELMs, showing that they can be concisely described via single effective measurements.
Our analysis paves the way to a more thorough understanding of the capabilities and limitations of both QELMs and QRCs.
arXiv Detail & Related papers (2022-10-03T09:32:28Z) - Optimal Stochastic Resource Allocation for Distributed Quantum Computing [50.809738453571015]
We propose a resource allocation scheme for distributed quantum computing (DQC) based on programming to minimize the total deployment cost for quantum resources.
The evaluation demonstrates the effectiveness and ability of the proposed scheme to balance the utilization of quantum computers and on-demand quantum computers.
arXiv Detail & Related papers (2022-09-16T02:37:32Z) - Noisy Quantum Kernel Machines [58.09028887465797]
An emerging class of quantum learning machines is that based on the paradigm of quantum kernels.
We study how dissipation and decoherence affect their performance.
We show that decoherence and dissipation can be seen as an implicit regularization for the quantum kernel machines.
arXiv Detail & Related papers (2022-04-26T09:52:02Z) - Quantum Local Differential Privacy and Quantum Statistical Query Model [0.7673339435080445]
Quantum statistical queries provide a theoretical framework for investigating the computational power of a learner with limited quantum resources.
In this work, we establish an equivalence between quantum statistical queries and quantum differential privacy in the local model.
We consider the task of quantum multi-party computation under local differential privacy.
arXiv Detail & Related papers (2022-03-07T18:38:02Z) - Quantum circuit architecture search for variational quantum algorithms [88.71725630554758]
We propose a resource and runtime efficient scheme termed quantum architecture search (QAS)
QAS automatically seeks a near-optimal ansatz to balance benefits and side-effects brought by adding more noisy quantum gates.
We implement QAS on both the numerical simulator and real quantum hardware, via the IBM cloud, to accomplish data classification and quantum chemistry tasks.
arXiv Detail & Related papers (2020-10-20T12:06:27Z) - Quantum reservoir computing with a single nonlinear oscillator [0.0]
We propose continuous variable quantum reservoir computing in a single nonlinear oscillator.
We demonstrate quantum-classical performance improvement, and identify its likely source: the nonlinearity of quantum measurement.
We study how the performance of our quantum reservoir depends on Hilbert space dimension, how it is impacted by injected noise, and briefly comment on its experimental implementation.
arXiv Detail & Related papers (2020-04-30T17:14:34Z)
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.