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We construct a family of simple fermionic projected entangled pair states (fPEPS) on the square lattice with bond dimension $D=3$ which are exactly hole-doped resonating valence bond (RVB) wavefunctions with short-range singlet bonds. Under…

Strongly Correlated Electrons · Physics 2014-07-02 Didier Poilblanc , Philippe Corboz , Norbert Schuch , J. Ignacio Cirac

We consider a class of large superposed states, obtained from dimer coverings on spin-1/2 isotropic lattices, whose potential usefulness ranges from organic molecules to quantum computation. We show that they are genuinely multiparty…

Quantum Physics · Physics 2013-08-16 Himadri Shekhar Dhar , Aditi Sen De , Ujjwal Sen

High-fidelity control of one- and two-qubit gates past the error correction threshold is an essential ingredient for scalable quantum computing. We present a reinforcement learning (RL) approach to find entangling protocols for…

Quantum Physics · Physics 2025-08-21 Mohammad Abedi , Markus Schmitt

We consider a family of SU(2)-symmetric Projected Entangled Paired States (PEPS) on the square lattice, defining colored-Resonating Valence Bond (RVB) states, to describe the quantum disordered phase of the $J_1-J_2$ frustrated Heisenberg…

Strongly Correlated Electrons · Physics 2019-10-02 Didier Poilblanc , Matthieu Mambrini , Sylvain Capponi

We explore the two-dimensional extended Hubbard model on the triangular lattice in the high doping regime. On-site and nearest-neighbour repulsive interactions are treated in a non-perturbative way by means of Extended Dynamical Mean Field…

Strongly Correlated Electrons · Physics 2017-09-26 Sophie Chauvin , Thomas Ayral , Lucia Reining , Silke Biermann

An analytical variational method for the ground state of the biased quantum Rabi model in the ultra-strong coupling regime is presented. This analytical variational method can be obtained by a unitary transformation or alternatively by…

Quantum Physics · Physics 2019-04-23 Bin-Bin Mao , Maoxin Liu , Wei Wu , Liangsheng Li , Zu-Jian Ying , Hong-Gang Luo

The two-dimensional Hubbard model at finite doping hosts competing or intertwined orders, resulting in conflicting conclusions from different computational approaches regarding its ground state. We show that a key source of such…

Strongly Correlated Electrons · Physics 2026-04-27 Luciano Loris Viteritti , Riccardo Rende , Christopher Roth , Anirvan Sengupta , Giuseppe Carleo , Antoine Georges

We report on ground state phases of a doped one-dimensional Hubbard model, which for large onsite interactions is governed by the $t$-$J$ Hamiltonian, where the extant entanglement is immutable under perturbative or sudden changes of system…

The single rung t-J ladder is analyzed in a mean field theory using Gutzwiller renormalization of the matrix elements to account for strong correlation. The spin liquid (RVB) state at half-filling evolves into a superconducting state upon…

Condensed Matter · Physics 2009-10-22 M. Sigrist , T. M. Rice , F. C. Zhang

Tools of quantum information theory offer a new perspective to characterize phases and phase transitions in interacting many-body quantum systems. The Hubbard model is the archetypal model of such systems and can explain rich phenomena of…

Strongly Correlated Electrons · Physics 2020-11-10 C. Walsh , P. Sémon , D. Poulin , G. Sordi , A. -M. S. Tremblay

We study the ground state of the doped Hubbard model on the honeycomb lattice in the small doping and strongly interacting region. The nature of the ground state by doping holes into the anti-ferromagnetic Mott insulating states on the…

Strongly Correlated Electrons · Physics 2022-06-28 Mingpu Qin

This work investigates the topological structure of multipartite entanglement in symmetric Dicke states $|D_n^{(k)}\rangle$. By viewing qubits as topological loops, we establish a direct correspondence between the recursive measurement…

Quantum Physics · Physics 2026-03-19 Sougata Bhattacharyya , Sovik Roy

Adding a Rashba term to the Hubbard Hamiltonian produces a model which can be used to learn how spin-orbit interactions impact correlated electrons on a lattice. Previous works have studied such a model using a variety of theoretical…

Strongly Correlated Electrons · Physics 2023-09-04 Erik Wegner Hodt , Jabir Ali Ouassou , Jacob Linder

We introduce a homology-based technique for the analysis of multiqubit state vectors. In our approach, we associate state vectors to data sets by introducing a metric-like measure in terms of bipartite entanglement, and investigate the…

Quantum Physics · Physics 2020-03-25 Riccardo Mengoni , Alessandra DI Pierro , Laleh Memarzadeh , Stefano Mancini

Finding a succinct representation to describe the ground state of a disordered interacting system could be very helpful in understanding the interplay between the interactions that is manifested in a quantum phase transition. In this work…

Disordered Systems and Neural Networks · Physics 2015-06-16 A. Ramezanpour

In this work, a long-range resonating valence bond state is proposed as a variational wave function for the ground state of the $S=1/2$ antiferromagnetic Heisenberg model on the honeycomb lattice. Employing Variational Monte Carlo (VMC)…

Strongly Correlated Electrons · Physics 2009-05-06 Zahra Nourbakhsh , Farhad Shahbazi , S. A. Jafari , G. Baskaran

We extend the rotationally invariant formulation of the slave-boson method to superconducting states. This generalization, building on the recent work by Lechermann et al. [Phys. Rev. B {\bf 76}, 155102 (2007)], allows to study…

Strongly Correlated Electrons · Physics 2009-10-16 A. Isidori , M. Capone

Multipartite entanglement detection is crucial for the develop of quantum information science and quantum computation, communication, simulation and metrology tasks. In contrast to experiments, where several handreds of qubits have been…

Quantum Physics · Physics 2024-11-06 Xiao-yu Chen

Motivated by the recent resurgence of interest in topological superconductivity, we study in this paper superconducting pairing instabilities of the hole-doped Rashba-Hubbard model on the square lattice with first- and second-neighbor…

Superconductivity · Physics 2018-05-01 Andrés Greco , Andreas P. Schnyder

Detecting entanglement in multipartite quantum states is an inherently probabilistic process, typically with a few measured samples. The level of confidence in entanglement detection quantifies the scheme's validity via the probability that…