Entanglement and discord classification via deep learning
- URL: http://arxiv.org/abs/2601.22253v1
- Date: Thu, 29 Jan 2026 19:23:42 GMT
- Title: Entanglement and discord classification via deep learning
- Authors: Katherine Muñoz-Mellado, Daniel Uzcátegui-Contreras, Antonio Guerra, Aldo Delgado, Dardo Goyeneche,
- Abstract summary: We propose a deep learning-based approach for quantum entanglement and discord classification using convolutional autoencoders.<n>We train models to distinguish entangled from separable bipartite states for $d times d$ systems with local dimension $d$ ranging from two to seven.<n>We leverage the learned representations to generate samples of bound entangled states, the rarest form of entanglement and notoriously difficult to construct analytically.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: In this work, we propose a deep learning-based approach for quantum entanglement and discord classification using convolutional autoencoders. We train models to distinguish entangled from separable bipartite states for $d \times d$ systems with local dimension $d$ ranging from two to seven, which enables identification of bound and free entanglement. Through extensive numerical simulations across various quantum state families, we demonstrate that our model achieves high classification accuracy. Furthermore, we leverage the learned representations to generate samples of bound entangled states, the rarest form of entanglement and notoriously difficult to construct analytically. We separately train the same convolutional autoencoders architecture for detecting the presence of quantum discord and show that the model also exhibits high accuracy while requiring significantly less training time.
Related papers
- 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) - Automated quantum system modeling with machine learning [0.0]
We show that a machine learning algorithm is able to construct quantum models, given a straightforward set of quantum dynamics measurements.
We demonstrate through simulations of a Markovian open quantum system that a neural network can automatically detect the number $N $ of effective states.
arXiv Detail & Related papers (2024-09-27T15:18:20Z) - 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) - Entanglement Verification with Deep Semi-supervised Machine Learning [10.587454514254423]
We propose a deep semi-supervised learning model with a small portion of labeled data and a large portion of unlabeled data.
We verify that our model has good generalization ability and gives rise to better accuracies compared to traditional supervised learning models.
arXiv Detail & Related papers (2023-08-29T15:41:04Z) - Data-driven criteria for quantum correlations [0.0]
We build a machine learning model to detect correlations in a three-qubit system.
We find that the proposed detector performs much better at distinguishing a weaker form of quantum correlations, namely, the quantum discord, than entanglement.
arXiv Detail & Related papers (2023-07-20T17:59:59Z) - A didactic approach to quantum machine learning with a single qubit [68.8204255655161]
We focus on the case of learning with a single qubit, using data re-uploading techniques.
We implement the different proposed formulations in toy and real-world datasets using the qiskit quantum computing SDK.
arXiv Detail & Related papers (2022-11-23T18:25:32Z) - Identification of quantum entanglement with Siamese convolutional neural networks and semi-supervised learning [0.0]
Quantum entanglement is a fundamental property commonly used in various quantum information protocols and algorithms.
In this study, we use deep convolutional NNs, a type of supervised machine learning, to identify quantum entanglement for any bi Partition in a 3-qubit system.
arXiv Detail & Related papers (2022-10-13T23:17:55Z) - An example of use of Variational Methods in Quantum Machine Learning [0.0]
This paper introduces a quantum neural network for the binary classification of points of a specific geometric pattern on a plane.
The intention was to produce a quantum deep neural network with the minimum number of trainable parameters capable of correctly recognising and classifying points.
arXiv Detail & Related papers (2022-08-07T03:52:42Z) - A Novel Anomaly Detection Algorithm for Hybrid Production Systems based
on Deep Learning and Timed Automata [73.38551379469533]
DAD:DeepAnomalyDetection is a new approach for automatic model learning and anomaly detection in hybrid production systems.
It combines deep learning and timed automata for creating behavioral model from observations.
The algorithm has been applied to few data sets including two from real systems and has shown promising results.
arXiv Detail & Related papers (2020-10-29T08:27:43Z) - Automated and Formal Synthesis of Neural Barrier Certificates for
Dynamical Models [70.70479436076238]
We introduce an automated, formal, counterexample-based approach to synthesise Barrier Certificates (BC)
The approach is underpinned by an inductive framework, which manipulates a candidate BC structured as a neural network, and a sound verifier, which either certifies the candidate's validity or generates counter-examples.
The outcomes show that we can synthesise sound BCs up to two orders of magnitude faster, with in particular a stark speedup on the verification engine.
arXiv Detail & Related papers (2020-07-07T07:39:42Z) - Gaussian Process States: A data-driven representation of quantum
many-body physics [59.7232780552418]
We present a novel, non-parametric form for compactly representing entangled many-body quantum states.
The state is found to be highly compact, systematically improvable and efficient to sample.
It is also proven to be a universal approximator' for quantum states, able to capture any entangled many-body state with increasing data set size.
arXiv Detail & Related papers (2020-02-27T15:54:44Z)
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.