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Encoding classical data in a quantum state is a key prerequisite of many quantum algorithms. Recently matrix product state (MPS) methods emerged as the most promising approach for constructing shallow quantum circuits approximating input…

After a general introduction to nuclear magnetic resonance (NMR), we give the basics of implementing quantum algorithms. We describe how qubits are realized and controlled with RF pulses, their internal interactions, and gradient fields. A…

Nuclear magnetic resonance (NMR) provides an experimental setting to explore physical implementations of quantum information processing (QIP). Here we introduce the basic background for understanding applications of NMR to QIP and explain…

Predicting the quantum dynamics of promising solid-state and molecular quantum technology candidates remains a formidable challenge. Yet, accessing these dynamics is key to understanding and controlling decoherence mechanisms -- a…

Chemical Physics · Physics 2026-04-10 Tianchu Li , Pranay Venkatesh , Nanako Shitara , Andrés Montoya-Castillo

Computing spectral functions in large, non-periodic super-moir\'e systems remains an open problem due to the exceptionally large system size that must be considered. Here, we establish a tensor network methodology that allows computing…

Strongly Correlated Electrons · Physics 2026-05-12 Anouar Moustaj , Yitao Sun , Tiago V. C. Antão , Jose L. Lado

Artificial neural network, consisting of many neurons in different layers, is an important method to simulate humain brain. Usually, one neuron has two operations: one is linear, the other is nonlinear. The linear operation is inner product…

Quantum Physics · Physics 2019-07-31 Jian Zhao , Yuan-Hang Zhang , Chang-Peng Shao , Yu-Chun Wu , Guang-Can Guo , Guo-Ping Guo

Quantum computing holds promise for revolutionizing computational chemistry simulations, particularly in drug discovery. However, current quantum hardware is limited by noise and scale, necessitating bridging technologies. This study…

Quantum Physics · Physics 2025-04-16 Marek Kowalik , Ellen Michael , Peter Pogány , Phalgun Lolur

Determining the state of a system and measuring properties of its evolution are two of the most important tasks a physicist faces. For the first purpose one can use tomography, a method that after subjecting the system to a number of…

We show how to learn structures of generic, non-Markovian, quantum stochastic processes using a tensor network based machine learning algorithm. We do this by representing the process as a matrix product operator (MPO) and train it with a…

Quantum Physics · Physics 2021-01-04 Chu Guo , Kavan Modi , Dario Poletti

Neural networks are a promising tool for characterizing intermediate-scale quantum devices from limited amounts of measurement data. A challenging problem in this area is to learn the action of an unknown quantum process on an ensemble of…

Quantum Physics · Physics 2023-12-06 Yan Zhu , Ya-Dong Wu , Qiushi Liu , Yuexuan Wang , Giulio Chiribella

We employ a nuclear magnetic resonance (NMR) quantum information processor to simulate the ground state of an XXZ spin chain and measure its NMR analog of entanglement, or pseudo-entanglement. The observed pseudo-entanglement for a…

Quantum Physics · Physics 2011-07-26 Jingfu Zhang , Tzu-Chieh Wei , Raymond Laflamme

Quantum neural networks (QNNs) based on parametrized quantum circuits are promising candidates for machine learning applications, yet many architectures lack clear connections to classical models, potentially limiting their ability to…

Quantum Physics · Physics 2026-01-09 Sebastian Nagies , Emiliano Tolotti , Davide Pastorello , Enrico Blanzieri

In modern power systems, the integration of converter-interfaced generations requires the development of electromagnetic transient network simulation programs (EMTP) that can capture rapid fluctuations. However, as the power system scales,…

Quantum Physics · Physics 2025-02-18 Qi Lou , Yijun Xu , Wei Gu

We study the performance of efficient quantum state tomography methods based on neural network quantum states using measured data from a two-photon experiment. Machine learning inspired variational methods provide a promising route towards…

Quantum optimal control (QOC) provides a systematic framework for achieving high-fidelity operations in quantum systems and plays a central role in tasks such as gate synthesis, state transfer, and pulse design. Existing QOC methods broadly…

Quantum Physics · Physics 2026-04-28 Zeki Zeybek , Rick Mukherjee , Peter Schmelcher

We adopt a two-dimensional tensor-network (TN) ansatz to simulate variational quantum algorithms on two-dimensional qubit architectures, demonstrating its capability to accurately simulate deep circuits through the Quantum Approximate…

Quantum Physics · Physics 2026-04-23 Ryo Watanabe , Dries Sels , Joseph Tindall

Noisy, intermediate-scale quantum (NISQ) computing devices have become an industrial reality in the last few years, and cloud-based interfaces to these devices are enabling exploration of near-term quantum computing on a range of problems.…

Quantum Physics · Physics 2021-04-07 Michael L. Wall , Matthew R. Abernathy , Gregory Quiroz

In this paper, we describe a tensor network simulation of a neutral atom quantum system under the presence of noise, while introducing a new purity-preserving truncation technique that compromises between the simplicity of the matrix…

Quantum Physics · Physics 2025-06-03 James Allen , Matthew Otten , Stephen Gray , Bryan K. Clark

Open many-body quantum systems play an important role in quantum optics and condensed-matter physics, and capture phenomena like transport, interplay between Hamiltonian and incoherent dynamics, and topological order generated by…

Quantum Physics · Physics 2016-06-15 A. H. Werner , D. Jaschke , P. Silvi , M. Kliesch , T. Calarco , J. Eisert , S. Montangero

Tensor networks are efficient representations of high-dimensional tensors which have been very successful for physics and mathematics applications. We demonstrate how algorithms for optimizing such networks can be adapted to supervised…

Machine Learning · Statistics 2017-05-22 E. Miles Stoudenmire , David J. Schwab
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