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Reaching tasks with random targets and obstacles is a challenging task for robotic manipulators. In this study, we propose a novel model-free reinforcement learning approach based on proximal policy optimization (PPO) for training a deep…

Robotics · Computer Science 2023-02-10 Yongliang Wang , Hamidreza Kasaei

We introduce an experimentally accessible network representation for many-body quantum states based on entanglement between all pairs of its constituents. We illustrate the power of this representation by applying it to a paradigmatic spin…

Quantum Physics · Physics 2022-06-30 Boris Sokolov , Matteo A. C. Rossi , Guillermo García-Pérez , Sabrina Maniscalco

We propose an algorithm to convert a projected entangled pair state (PEPS) into a canonical form, analogous to the well-known canonical form of a matrix product state. Our approach is based on a variational gauging ansatz for the QR tensor…

Strongly Correlated Electrons · Physics 2019-08-15 R. Haghshenas , Matthew J. O'Rourke , Garnet Kin-Lic Chan

In the last few years there has been a lot of interest in quantum repeater protocols using only atomic ensembles and linear optics. Here we show that the local generation of high-fidelity entangled pairs of atomic excitations, in…

This thesis contributes to the understanding of symmetry-enriched topological phases focusing on their descriptions in terms of tensor network states. The Projected Entangled Pair State (PEPS) formalism allows us to locally encode the main…

Quantum Physics · Physics 2019-12-19 José Garre-Rubio

We present a numerical strategy to efficiently estimate bipartite entanglement measures, and in particular the Entanglement of Formation, for many-body quantum systems on a lattice. Our approach exploits the Tree Tensor Operator tensor…

Quantum Physics · Physics 2022-01-26 Luca Arceci , Pietro Silvi , Simone Montangero

We present a quantum repeater protocol that generates the elementary segments of entangled photons through the communication of qubus in coherent states. The input photons at the repeater stations can be in arbitrary states to save the…

Quantum Physics · Physics 2009-05-19 Bing He , Yu-Hang Ren , Janos A. Bergou

Matrix Product States (MPS) and Projected Entangled Pair States (PEPS) are powerful analytical and numerical tools to assess quantum many-body systems in one and higher dimensions, respectively. While MPS are comprehensively understood, in…

Quantum Physics · Physics 2020-11-23 G. Scarpa , A. Molnar , Y. Ge , J. J. Garcia-Ripoll , N. Schuch , D. Perez-Garcia , S. Iblisdir

In this paper, we present a physically informed neural network representation of the effective interactions associated with coupled-cluster downfolding models to describe chemical systems and processes. The neural network representation not…

Quantum Physics · Physics 2025-01-28 Senwei Liang , Karol Kowalski , Chao Yang , Nicholas P. Bauman

We introduce plaquette projected entangled-pair states, a class of states in a lattice that can be generated by applying sequential unitaries acting on plaquettes of overlapping regions. They satisfy area-law entanglement, possess…

Quantum Physics · Physics 2022-01-13 Zhi-Yuan Wei , Daniel Malz , J. Ignacio Cirac

The explosion of digital information and the growing involvement of people in social networks led to enormous research activity to develop methods that can extract meaningful information from interaction data. Commonly, interactions are…

Machine Learning · Computer Science 2023-04-04 Tony Gracious , Ambedkar Dukkipati

We introduce a general corner transfer matrix renormalization group algorithm tailored to projected entangled-pair states on the triangular lattice. By integrating automatic differentiation, our approach enables direct variational energy…

Strongly Correlated Electrons · Physics 2026-01-15 Jan Naumann , Jens Eisert , Philipp Schmoll

We show how to accurately study 2D quantum critical phenomena using infinite projected entangled-pair states (iPEPS). We identify the presence of a finite correlation length in the optimal iPEPS approximation to Lorentz-invariant critical…

Strongly Correlated Electrons · Physics 2018-08-08 Philippe Corboz , Piotr Czarnik , Geert Kapteijns , Luca Tagliacozzo

In continuous quantum field theories, the entanglement entropy of a subsystem with sharp corners on its boundary exhibits a universal corner-dependent contribution. We study this contribution through the lens of lattice discretization, and…

Quantum Physics · Physics 2026-05-29 Noa Feldman , Moshe Goldstein

We investigate the extended Hubbard model as an approximation to the local and spatial entanglement of a one-dimensional chain of nanostructures where the particles interact via a long range interaction represented by a `soft' Coulomb…

Strongly Correlated Electrons · Physics 2011-02-03 J. P. Coe , V. V. França , I. D'Amico

Link prediction infers potential links from observed networks, and is one of the essential problems in network analyses. In contrast to traditional graph representation modeling which only predicts two-way pairwise relations, we propose a…

Social and Information Networks · Computer Science 2021-11-10 Yubai Yuan , Annie Qu

We have recently shown that the entanglement entropy of any bipartition of a quantum state can be approximated as the sum of certain link strengths connecting internal and external sites. The representation is useful to unveil the geometry…

Long-range graph tasks -- those dependent on interactions between distant nodes -- are an open problem in graph neural network research. Real-world benchmark tasks, especially the Long Range Graph Benchmark, have become popular for…

Machine Learning · Computer Science 2025-06-09 Jacob Bamberger , Benjamin Gutteridge , Scott le Roux , Michael M. Bronstein , Xiaowen Dong

Events defined by the interaction of objects in a scene are often of critical importance; yet important events may have insufficient labeled examples to train a conventional deep model to generalize to future object appearance. Activity…

Computer Vision and Pattern Recognition · Computer Science 2019-10-01 Roei Herzig , Elad Levi , Huijuan Xu , Hang Gao , Eli Brosh , Xiaolong Wang , Amir Globerson , Trevor Darrell

We propose a novel non-linear extension to the Orienteering Problem (OP), called the Correlated Orienteering Problem (COP). We use COP to model the planning of informative tours for the persistent monitoring of a spatiotemporal field with…

Robotics · Computer Science 2014-12-16 Jingjin Yu , Mac Schwager , Daniela Rus