Neural-network quantum state tomography
- URL: http://arxiv.org/abs/2206.06736v1
- Date: Tue, 14 Jun 2022 10:37:54 GMT
- Title: Neural-network quantum state tomography
- Authors: D. Koutny, L. Motka, Z. Hradil, J. Rehacek and L. L. Sanchez-Soto
- Abstract summary: We revisit the application of neural networks techniques to quantum state tomography.
We confirm that the positivity constraint can be successfully implemented with trained networks that convert outputs from standard feed-forward neural networks to valid descriptions of quantum states.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We revisit the application of neural networks techniques to quantum state
tomography. We confirm that the positivity constraint can be successfully
implemented with trained networks that convert outputs from standard
feed-forward neural networks to valid descriptions of quantum states. Any
standard neural-network architecture can be adapted with our method. Our
results open possibilities to use state-of-the-art deep-learning methods for
quantum state reconstruction under various types of noise.
Related papers
- Universal Quantum Tomography With Deep Neural Networks [0.0]
We present two neural networks based approach for both pure and mixed quantum state tomography.
We demonstrate that our proposed methods can achieve state-of-the-art results in reconstructing mixed quantum states from experimental data.
arXiv Detail & Related papers (2024-07-01T19:09:18Z) - Enhancing quantum state tomography via resource-efficient attention-based neural networks [0.0]
We propose a new quantum state tomography protocol combining standard quantum state reconstruction methods with an attention-based neural network architecture.
We show how the proposed protocol is able to improve the averaged fidelity reconstruction over linear inversion and maximum-likelihood estimation.
arXiv Detail & Related papers (2023-09-19T13:46:21Z) - Quantization-aware Interval Bound Propagation for Training Certifiably
Robust Quantized Neural Networks [58.195261590442406]
We study the problem of training and certifying adversarially robust quantized neural networks (QNNs)
Recent work has shown that floating-point neural networks that have been verified to be robust can become vulnerable to adversarial attacks after quantization.
We present quantization-aware interval bound propagation (QA-IBP), a novel method for training robust QNNs.
arXiv Detail & Related papers (2022-11-29T13:32:38Z) - QuanGCN: Noise-Adaptive Training for Robust Quantum Graph Convolutional
Networks [124.7972093110732]
We propose quantum graph convolutional networks (QuanGCN), which learns the local message passing among nodes with the sequence of crossing-gate quantum operations.
To mitigate the inherent noises from modern quantum devices, we apply sparse constraint to sparsify the nodes' connections.
Our QuanGCN is functionally comparable or even superior than the classical algorithms on several benchmark graph datasets.
arXiv Detail & Related papers (2022-11-09T21:43:16Z) - QDCNN: Quantum Dilated Convolutional Neural Network [1.52292571922932]
We propose a novel hybrid quantum-classical algorithm called quantum dilated convolutional neural networks (QDCNNs)
Our method extends the concept of dilated convolution, which has been widely applied in modern deep learning algorithms, to the context of hybrid neural networks.
The proposed QDCNNs are able to capture larger context during the quantum convolution process while reducing the computational cost.
arXiv Detail & Related papers (2021-10-29T10:24:34Z) - A quantum algorithm for training wide and deep classical neural networks [72.2614468437919]
We show that conditions amenable to classical trainability via gradient descent coincide with those necessary for efficiently solving quantum linear systems.
We numerically demonstrate that the MNIST image dataset satisfies such conditions.
We provide empirical evidence for $O(log n)$ training of a convolutional neural network with pooling.
arXiv Detail & Related papers (2021-07-19T23:41:03Z) - The Hintons in your Neural Network: a Quantum Field Theory View of Deep
Learning [84.33745072274942]
We show how to represent linear and non-linear layers as unitary quantum gates, and interpret the fundamental excitations of the quantum model as particles.
On top of opening a new perspective and techniques for studying neural networks, the quantum formulation is well suited for optical quantum computing.
arXiv Detail & Related papers (2021-03-08T17:24:29Z) - Variational learning for quantum artificial neural networks [0.0]
We first review a series of recent works describing the implementation of artificial neurons and feed-forward neural networks on quantum processors.
We then present an original realization of efficient individual quantum nodes based on variational unsampling protocols.
While keeping full compatibility with the overall memory-efficient feed-forward architecture, our constructions effectively reduce the quantum circuit depth required to determine the activation probability of single neurons.
arXiv Detail & Related papers (2021-03-03T16:10:15Z) - Classification and reconstruction of optical quantum states with deep
neural networks [1.1470070927586016]
We apply deep-neural-network-based techniques to quantum state classification and reconstruction.
We demonstrate high classification accuracies and reconstruction fidelities, even in the presence of noise and with little data.
We present further demonstrations of our proposed [arXiv:2008.03240] QST technique with conditional generative adversarial networks (QST-CGAN)
arXiv Detail & Related papers (2020-12-03T18:58:16Z) - Quantum Deformed Neural Networks [83.71196337378022]
We develop a new quantum neural network layer designed to run efficiently on a quantum computer.
It can be simulated on a classical computer when restricted in the way it entangles input states.
arXiv Detail & Related papers (2020-10-21T09:46:12Z) - Entanglement Classification via Neural Network Quantum States [58.720142291102135]
In this paper we combine machine-learning tools and the theory of quantum entanglement to perform entanglement classification for multipartite qubit systems in pure states.
We use a parameterisation of quantum systems using artificial neural networks in a restricted Boltzmann machine (RBM) architecture, known as Neural Network Quantum States (NNS)
arXiv Detail & Related papers (2019-12-31T07:40:23Z)
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.