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We introduce a new class of states for bosonic quantum fields which extend tensor network states to the continuum and generalize continuous matrix product states (cMPS) to spatial dimensions $d\geq 2$. By construction, they are Euclidean…

Strongly Correlated Electrons · Physics 2019-06-11 Antoine Tilloy , J. Ignacio Cirac

We study the interaction between a ferromagnetically ordered medium and the surface states of a topological insulator with a general surface termination. This interaction is strongly crystal face dependent and can generate chiral states…

Mesoscale and Nanoscale Physics · Physics 2013-03-19 Fan Zhang , C. L. Kane , E. J. Mele

We discuss a technique and a material system that enable the controlled realization of quantum entanglement between spin-wave modes of electron ensembles in two spatially separated pieces of semiconductor material. The approach uses…

Mesoscale and Nanoscale Physics · Physics 2009-10-12 C. H. van der Wal , M. Sladkov

This is a short review on selected theory developments on Tensor Network (TN) states for strongly correlated systems. Specifically, we briefly review the effect of symmetries in TN states, fermionic TNs, the calculation of entanglement…

Strongly Correlated Electrons · Physics 2014-11-26 Roman Orus

Protected chiral edge modes are a well-known signature of topologically ordered phases like the Fractional Quantum Hall States. Recently, using the framework of projected entangled pair states (PEPS) on the square lattice, we constructed a…

Strongly Correlated Electrons · Physics 2016-05-20 Didier Poilblanc , Norbert Schuch , Ian Affleck

Dynamically varying system parameters along a path enclosing an exceptional point is known to lead to chiral mode conversion. But is it necessary to include this non-Hermitian degeneracy inside the contour for this process to take place? We…

We construct an explicit renormalization group (RG) transformation for Levin and Wen's string-net models on a hexagonal lattice. The transformation leaves invariant the ground-state "fixed-point" wave function of the string-net condensed…

Strongly Correlated Electrons · Physics 2009-06-15 Robert Koenig , Ben W. Reichardt , Guifre Vidal

We propose a new concept upon the renormalization group (RG) procedure for an interacting many-electron correlated system in the framework of natural orbitals, and formulate an algorithm for this RG approach. To demonstrate its…

Strongly Correlated Electrons · Physics 2014-02-17 Rong-Qiang He , Zhong-Yi Lu

In this work, we report on a novel quantum state reconstruction process based on the disentanglement algorithm. Using variational quantum circuits, we disentangle the quantum state to a product of computational zero states. Inverse…

Quantum Physics · Physics 2024-11-08 Juan Yao

In this work, we compute the entanglement entropy in continuous icMERA tensor networks for large $N$ models at strong coupling. Our results show that the $1/N$ quantum corrections to the Fisher information metric (interpreted as a local…

High Energy Physics - Theory · Physics 2022-04-07 Jose J. Fernandez-Melgarejo , Javier Molina-Vilaplana

We study quantum circuits with gates composed randomly of identity operators, projectors, or a kind of $R$ matrices which satisfy the Yang-Baxter equation and are unitary and dual-unitary. This enables us to translate the quantum circuit…

Quantum Physics · Physics 2025-11-10 Shi-Kang Sun , Shu Chen

Numerical optimization methods such as hillclimbing and simulated annealing have been applied to search for highly entangled multi-qubit states. Here the genetic algorithm is applied to this optimization problem -- to search not only for…

Quantum Physics · Physics 2010-03-17 Zheyong Fan , Hugo de Garis , Ben Goertzel , Zhongzhou Ren , Huabi Zeng

The systems without symmetries, e.g. the spatial and chiral symmetries, are generally thought to be improper for topological study and no conventional integral topological invariant can be well defined. In this work, with multi-band…

Mesoscale and Nanoscale Physics · Physics 2024-09-16 Yunlin Li , Jingguang Chen , Xingchao Qi , Langlang Xiong , Xianjun Wang , Yufu Liu , Fang Guan , Lei Shi , Xunya Jiang

The ability of entanglement renormalization (ER) to generate a proper real-space renormalization group (RG) flow in extended quantum systems is analysed in the setting of harmonic lattice systems in D=1 and D=2 spatial dimensions. A…

Quantum Physics · Physics 2010-03-05 G. Evenbly , G. Vidal

We introduce a new multiparty cryptographic protocol, which we call `entanglement sharing schemes', wherein a dealer retains half of a maximally-entangled bipartite state and encodes the other half into a multipartite state that is…

Quantum Physics · Physics 2013-03-18 Ran Hee Choi , Ben Fortescue , Gilad Gour , Barry C. Sanders

We present a protocol for generating multipartite quantum correlations across a quantum network with a continuous-variable architecture. An arbitrary number of users possess two-mode entangled states, keeping one mode while sending the…

Quantum Physics · Physics 2019-03-27 Carlo Ottaviani , Cosmo Lupo , Alessandro Ferraro , Mauro Paternostro , Stefano Pirandola

We analyze the computational aspects of detecting topological order in a quantum many-body system. We contrast the widely used topological entanglement entropy with a recently introduced operational definition for topological order based on…

Quantum Physics · Physics 2025-05-09 Louis Fraatz , Amit Jamadagni , Hendrik Weimer

In this theoretical investigation, we study the effectiveness of a protocol that incorporates periodic quantum resetting to prepare ground states of frustration-free parent Hamiltonians. This protocol uses a steering Hamiltonian that…

Quantum Physics · Physics 2024-03-27 Daniel Alcalde Puente , Felix Motzoi , Tommaso Calarco , Giovanna Morigi , Matteo Rizzi

We perform an exact diagonalization study of the topological order in topological flat band models through calculating entanglement entropy and spectra of low energy states. We identify multiple independent minimal entangled states, which…

Strongly Correlated Electrons · Physics 2013-08-20 W. Zhu , D. N. Sheng , F. D. M. Haldane

We examine the effect of interactions between the electrons on the conductances of some systems of quantum wires with different geometries. The systems include a wire with a stub in the middle, a wire containing a ring which can enclose a…

Strongly Correlated Electrons · Physics 2007-12-03 Sourin Das , Sumathi Rao , Diptiman Sen