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We present a conjugate-gradient method for the ground-state optimization of projected entangled-pair states (PEPS) in the thermodynamic limit, as a direct implementation of the variational principle within the PEPS manifold. Our…

Strongly Correlated Electrons · Physics 2016-11-08 Laurens Vanderstraeten , Jutho Haegeman , Philippe Corboz , Frank Verstraete

We analyze the recently developed folding algorithm [Phys. Rev. Lett. 102, 240603 (2009)] to simulate the dynamics of infinite quantum spin chains, and relate its performance to the kind of entanglement produced under the evolution of…

Quantum Physics · Physics 2012-07-04 Alexander Müller-Hermes , J. Ignacio Cirac , Mari Carmen Bañuls

The infinite projected entangled pair states (iPEPS) technique [J. Jordan {\it et al.}, Phys. Rev. Lett. {\bf 101}, 250602 (2008)] has been widely used in the recent years to assess the properties of two-dimensional quantum systems, working…

Strongly Correlated Electrons · Physics 2019-08-23 Juraj Hasik , Federico Becca

We exploit the duality between quantum channels and sequentially generated states to construct families of highly entangled states that undergo phase transitions. These highly entangled states can be sequentially generated by collecting the…

Quantum Physics · Physics 2023-05-10 Sarang Gopalakrishnan

We suggest a method of generating distillable entanglement form mixed states unitarily, by utilizing the flexibility of dimension od occupied Hilbert space. We present a model of a thermal spin state entering a beam splitter generating…

Quantum Physics · Physics 2007-05-23 D. Markham , M. Murao , V. Vedral

Analyzing the properties of entanglement in many-particle spin-1/2 systems is generally difficult because the system's Hilbert space grows exponentially with the number of constituent particles, $N$. Fortunately, it is still possible to…

Quantum Physics · Physics 2007-05-23 John K. Stockton , JM Geremia , Andrew C. Doherty , Hideo Mabuchi

We introduce a repeater scheme to efficiently distribute multipartite entangled states in a quantum network with optimal scaling. The scheme allows to generate graph states such as 2D and 3D cluster states of growing size or GHZ states over…

Quantum Physics · Physics 2019-01-30 Julius Wallnöfer , Alexander Pirker , Michael Zwerger , Wolfgang Dür

The numerical simulation of quantum many-body dynamics is typically limited by the linear growth of entanglement with time. Recently numerical studies have shown, however, that for 1D Bethe-integrable models the simulation of local…

Quantum Physics · Physics 2011-04-21 Dominik Muth , Razmik G. Unanyan , Michael Fleischhauer

Motivated by a recent experimental study on the quantum Ising magnet $\text{K}_2\text{Co}(\text{SeO}_3)_2$ that presented spectroscopic evidence of zero-field supersolidity (Chen et al., arXiv:2402.15869), we simulate the excitation…

Strongly Correlated Electrons · Physics 2025-07-15 Yi Xu , Juraj Hasik , Boris Ponsioen , Andriy H. Nevidomskyy

The theory of entanglement provides a fundamentally new language for describing interactions and correlations in many body systems. Its vocabulary consists of qubits and entangled pairs, and the syntax is provided by tensor networks. We…

Quantum Physics · Physics 2021-12-20 Ignacio Cirac , David Perez-Garcia , Norbert Schuch , Frank Verstraete

Fusion-based photonic quantum computing architectures rely on two primitives: i) near-deterministic generation and control of constant-size entangled states and ii) probabilistic entangling measurements (photonic fusion gates) between…

Entanglement forging based variational algorithms leverage the bi-partition of quantum systems for addressing ground state problems. The primary limitation of these approaches lies in the exponential summation required over the numerous…

Tensor networks are generated by a set of small rank tensors and define many-body quantum states in a succinct form. The corresponding map is not one-to-one: different sets of tensors may generate the very same state. A fundamental question…

Strongly Correlated Electrons · Physics 2018-11-27 Andras Molnar , José Garre-Rubio , David Pérez-García , Norbert Schuch , J. Ignacio Cirac

We propose a method for generation of genuine multipartite entangled states in a short-range Ising spin chain with periodic global pulses of magnetic field. We consider an integrable and a non-integrable Floquet system that are periodic in…

Quantum Physics · Physics 2019-03-26 Gautam Kamalakar Naik , Rajeev Singh , Sunil Kumar Mishra

Computing excitation spectra of quantum many-body systems is a promising avenue to demonstrate the practical utility of current noisy quantum devices, especially as we move toward the ``megaquop'' regime. For this task, here we introduce a…

Quantum Physics · Physics 2026-04-16 Ji-Yao Chen , Bochen Huang , D. L. Zhou , Norbert Schuch , Chenfeng Cao , Muchun Yang

Recently it has been shown that projected entangled-pair states can be considered as a (physically motivated) resource state for measurement-based quantum computation. Here we elaborate on how to construct a deterministic measurement-based…

Quantum Physics · Physics 2014-01-27 Mear M. R. Koochakie

We analyze the generation of entanglement in a multipartite optical network. We generalize the twin-field strategy to the multipartie case and show that our protocol has advantageous rate-loss scalings of distributing W states and Dicke…

Quantum Physics · Physics 2023-07-21 Wojciech Roga , Rikizo Ikuta , Tomoyuki Horikiri , Masahiro Takeoka

We present a symmetry-projected configuration mixing scheme to describe ground and excited states, with well defined quantum numbers, of the two-dimensional Hubbard model with nearestneighbor hopping and periodic boundary conditions.…

Strongly Correlated Electrons · Physics 2013-06-28 R. Rodríguez-Guzmán , K. W. Schmid , Carlos A. Jiménez-Hoyos , Gustavo E. Scuseria

The geometric entanglement per lattice site, as a holistic measure of the multipartite entanglement, serves as a universal marker to detect quantum phase transitions in quantum many-body systems. However, it is very difficult to compute the…

Statistical Mechanics · Physics 2011-06-13 Hong-Lei Wang , Qian-Qian Shi , Sheng-Hao Li , Huan-Qiang Zhou

In this work, we consider a parameterized Ising model with long-range symmetric pairwise interactions on a network of spin $\frac{1}{2}$ particles. The system is designed with symmetric dynamics, allowing for the reduction of the state…