Article
Multidisciplinary Sciences
D. Gonzalez-Cuadra, D. Bluvstein, M. Kalinowski, R. Kaubruegger, N. Maskara, P. Naldesi, T. Zache, A. M. Kaufman, M. D. Lukin, H. Pichler, B. Vermersch, Jun Ye, P. Zoller
Summary: This paper presents a fermionic quantum processor that can efficiently simulate many-body fermionic systems on hardware. By locally encoding fermionic models in a fermionic register and simulating them using fermionic gates, nonlocal fermionic statistics are achieved. The gate set, along with Rydberg-mediated interaction gates, allows for efficient circuit decompositions for digital and variational quantum simulation algorithms.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
(2023)
Article
Multidisciplinary Sciences
Kevissen Sellapillay, Pablo Arrighi, Giuseppe Di Molfetta
Summary: The article introduces a quantum cellular automaton that coincides with 1 + 1QED and demonstrates its accuracy through the limits of the evolution equations.
SCIENTIFIC REPORTS
(2022)
Article
Physics, Multidisciplinary
Matjaz Kebric, Umberto Borla, Ulrich Schollwoeck, Sergej Moroz, Luca Barbiero, Fabian Grusdt
Summary: Coupling dynamical charges to gauge fields leads to non-local interactions and confinement potential, resulting in the formation of mesons and emergence of Luttinger liquids. Including nearest-neighbour (NN) interactions among charges stabilizes different Mott-insulating states. However, the rich phase diagrams in these models have not been fully explored and lack comprehensive theoretical explanation.
NEW JOURNAL OF PHYSICS
(2023)
Article
Quantum Science & Technology
Angus Kan, Yunseong Nam
Summary: This study provides quantum gate algorithms for simulating U(1) lattice gauge theories on a fault-tolerant quantum computer and performs rigorous error analysis. The results show that U(1) lattice gauge theories in any spatial dimension can be simulated using specific non-Clifford T gates, paving the way for fault-tolerant quantum simulations of physical models closely related to the Standard Model of particle physics.
QUANTUM SCIENCE AND TECHNOLOGY
(2023)
Article
Physics, Multidisciplinary
Pierpaolo Fontana, Joao C. Pinto Barros, Andrea Trombettoni
Summary: This study presents a reformulation of gauge theories using gauge invariant fields, showing how gauge and matter covariant fields can be recombined to introduce new gauge invariant degrees of freedom. By applying this reformulation to various physical examples, the researchers demonstrate the practical utility of the method.
Article
Multidisciplinary Sciences
Hanqing Liu, Shailesh Chandrasekharan
Summary: Qubit regularization is a crucial procedure for simulating lattice quantum field theories on a quantum computer. It enforces certain algebraic structures on the quantum fields and can help recover the fixed points of desired quantum field theories.
Article
Quantum Science & Technology
Anthony N. Ciavarella, Stephan Caspar, Marc Illa, Martin J. Savage
Summary: An adiabatic state preparation technique called the adiabatic spiral is proposed for the Heisenberg model. It can be implemented on quantum simulation platforms such as Rydberg atoms, trapped ions, or superconducting qubits. Classical simulations show that it outperforms Trotterized adiabatics.
Article
Physics, Multidisciplinary
Zi-Yong Ge, Rui-Zhen Huang, Zi-Yang Meng, Heng Fan
Summary: This article proposes an implementation to approximately simulate DOUBLE-STRUCK CAPITAL Z(2) lattice gauge theory (LGT) on superconducting quantum circuits. It systematically investigates both the ground state properties and quench dynamics, shedding light on quantum phase transitions and confinement dynamics in LGT. The results pave the way for simulating LGT on superconducting circuits.
Article
Physics, Multidisciplinary
Vittorio Vitale, Andreas Elben, Richard Kueng, Antoine Neven, Jose Carrasco, Barbara Kraus, Peter Zoller, Pasquale Calabrese, Benoit Vermersch, Marcello Dalmonte
Summary: A study shows that symmetry-resolved information spreading is inhibited by the competition of coherent and incoherent dynamics in the presence of continuous symmetries and under ubiquitous experimental conditions. The entropy decreases as a function of time in certain quantum number sectors, indicating dynamical purification. Dynamical purification bridges between two distinct short and intermediate time regimes, characterized by log-volume and log-area entropy laws.
Article
Physics, Particles & Fields
Martin Beneke, Patrick Hager, Dominik Schwienbacher
Summary: We generalize the effective field theory for soft and collinear gravitons to include interactions with fermionic matter fields. The theory incorporates a local Lorentz symmetry in addition to the usual diffeomorphisms, necessitating the inclusion of the former into the soft-collinear gravity framework. The presence of local Lorentz symmetry leads to the introduction of Wilson lines in the effective theory, similar to those in the case of non-abelian gauge interactions, while diffeomorphisms can be treated in a manner similar to scalar matter. The fundamental structure of soft-collinear gravity, characterized by a homogeneous soft background field and covariant derivative and multipole-expanded covariant Riemann tensor interactions, remains unchanged and can be naturally extended to fermion fields.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Materials Science, Multidisciplinary
Maissam Barkeshli, Yu-An Chen, Po-Shen Hsin, Naren Manjunath
Summary: This study provides a classification of invertible topological phases of interacting fermions with symmetry in two spatial dimensions. It proposes a more physically transparent and computationally simpler method to characterize and classify these phases using concrete data and consistency equations.
Article
Materials Science, Multidisciplinary
Jiangfan Wang, Yi-feng Yang
Summary: Metallic spin liquid has been observed in correlated metals, but a satisfactory theoretical description is lacking. This study proposes a potential approach to achieve metallic spin liquid by constructing an effective gauge theory with charged fractionalized excitations on the triangular Kondo lattice. The resulting Z(2) metallic spin liquid exhibits long-lived, heavy holon excitations of spin 0 and charge +e, as well as a partially enlarged electron Fermi surface.
Article
Astronomy & Astrophysics
Erik Gustafson, Yingyue Zhu, Patrick Dreher, Norbert M. Linke, Yannick Meurice
Summary: A method is presented to estimate the time delay of a wave packet using the early and intermediate stages of collision in real-time evolution. It is shown that challenging Fourier transforms required for state preparation and measurements can be implemented in current trapped ion devices and IBM quantum computers. Results comparing quantum computations with numerical results in the quantum mechanics limit and quantum field theory formulation are discussed, with a possibility of larger scale computations in the near future.
Article
Astronomy & Astrophysics
Patrick Emonts, Erez Zohar
Summary: Fermionic Gaussian projected entangled pair states (PEPS) are used to describe ground states of noninteracting fermionic Hamiltonians. They can be efficiently studied and analyzed using both analytical and numerical methods. Recently, they have been used as a starting point for variational study of interacting lattice gauge theories, with the help of PEPS gauging mechanisms and sign-problem free variational Monte Carlo techniques. This work focuses on generalizing such states from two to three spatial dimensions, with a focus on spin representations and lattice rotations, which are crucial for studying nonperturbative lattice gauge theories with fermionic tensor network states.
Article
Astronomy & Astrophysics
Giuseppe Clemente, Arianna Crippa, Karl Jansen
Summary: This study proposes to use noisy-intermediate-scale-quantum-era quantum devices to compute short distance quantities in (2 + 1)-dimensional QED, and combine them with large volume Monte Carlo simulations and perturbation theory. By performing quantum computations, the mass gap in the small and intermediate regime can be reliably resolved and matched with corresponding results from Monte Carlo simulations.
Review
Multidisciplinary Sciences
Monika Aidelsburger, Luca Barbiero, Alejandro Bermudez, Titas Chanda, Alexandre Dauphin, Daniel Gonzalez-Cuadra, Przemyslaw R. Grzybowski, Simon Hands, Fred Jendrzejewski, Johannes Junemann, Gediminas Juzeliunas, Valentin Kasper, Angelo Piga, Shi-Ju Ran, Matteo Rizzi, German Sierra, Luca Tagliacozzo, Emanuele Tirrito, Torsten Zache, Jakub Zakrzewski, Erez Zohar, Maciej Lewenstein
Summary: This article discusses the replacement of fermionic matter with bosonic matter in quantum field theory models relevant for particle physics. The motivation behind this substitution is that bosons are more accessible and easier to manipulate for experimentalists, which leads to new physics and novel phenomena. The article also explores atomic simulators of paradigmatic models of particle physics theory. It reviews the activities related to quantum simulations for lattice field theories performed by the Quantum Optics Theory group at ICFO and their collaborators from 19 institutions worldwide. Additionally, the article briefly describes efforts to design experimentally friendly simulators for these and other models relevant for particle physics.
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
(2022)
Editorial Material
Multidisciplinary Sciences
Steven D. Bass, Erez Zohar
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
(2022)
Review
Multidisciplinary Sciences
Erez Zohar
Summary: The field of quantum simulation of lattice gauge theories, which aims to implement simulators of gauge theories with quantum platforms, has experienced rapid development. It has gained interest not only from the quantum information and technology communities, but also from particle and nuclear physicists who see it as a tool for tackling hard, non-perturbative gauge theory problems. More and more experiments have been reported, mainly focusing on 1 + 1 dimensional physics.
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
(2022)
Article
Physics, Multidisciplinary
Zhi-Yuan Wei, Daniel Malz, J. Ignacio Cirac
Summary: We introduce a class of states called plaquette projected entangled-pair states, which can be generated in a lattice by applying sequential unitaries to plaquettes of overlapping regions. They exhibit area-law entanglement, have long-range correlations, and generalize other tensor network states. We identify a more efficiently preparable subclass that can be prepared in a radial fashion and includes the family of isometric tensor network states. We also demonstrate the efficient preparation of this subclass using an array of photon sources.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Multidisciplinary
Arthur Christianen, J. Ignacio Cirac, Richard Schmidt
Summary: In this study, the interaction between the polaron quasiparticle and chemical recombination in an atomic Bose-Einstein condensate (BEC) was investigated using a Gaussian state variational method. The results show that the polaron cloud contributes to the formation of bound states and leads to a shift of the Efimov resonance, indicating the onset of polaronic instability.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Multidisciplinary
J. Knoerzer, T. Shi, E. Demler, J. Cirac
Summary: By studying trapped-ion quantum systems, we can gain insights into generalized Holstein models and benchmark expensive numerical calculations. Our focus is on simulating many-electron systems and examining the competition between charge-density wave order, fermion pairing, and phase separation.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Multidisciplinary
Rahul Trivedi, J. Ignacio Cirac
Summary: This study analyzes the complexity of continuous-time dynamics of locally interacting quantum spin systems with a constant rate of entanglement-breaking noise. It is proven that a polynomial time classical algorithm can be used to sample from the state of the spins when the rate of noise exceeds a certain threshold determined by the strength of the local interactions. Furthermore, by encoding a 1D fault-tolerant quantum computation into the dynamics of spin systems arranged on two or higher dimensional grids, it is shown that weakly simulating the output state of both purely Hamiltonian and purely dissipative dynamics is expected to be difficult in the low-noise regime.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Multidisciplinary
Paul M. Schindler, Tommaso Guaita, Tao Shi, Eugene Demler, J. Ignacio Cirac
Summary: We present an Ansatz based on generalized coherent states for the ground states of the quantum Sherrington-Kirkpatrick model, capturing the fundamental aspects of the model and enabling the study of previously unexplored features, such as the entanglement structure of the ground states.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Multidisciplinary
Zongping Gong, Tommaso Guaita, J. Ignacio Cirac
Summary: In this paper, we study free fermions on lattices in arbitrary dimensions with hopping amplitudes that decay with a power-law. We provide a comprehensive set of constraints on the equilibrium and nonequilibrium properties of these fermions in the regime where the power-law decay is larger than the spatial dimension. Our results include the derivation of an optimal Lieb-Robinson bound and a clustering property for the Green's function. We also discuss the implications of these results on topological phases in long-range free-fermion systems.
PHYSICAL REVIEW LETTERS
(2023)
Article
Astronomy & Astrophysics
Valentin Kasper, Torsten V. Zache, Fred Jendrzejewski, Maciej Lewenstein, Erez Zohar
Summary: Lattice gauge theories play a fundamental role in various fields such as particle physics, condensed matter, and quantum information theory. While recent advancements in controlling artificial quantum systems have allowed for studying Abelian lattice gauge theories in tabletop experiments, realizing non-Abelian models remains challenging. In this study, we propose a coherent quantum control scheme to enforce non-Abelian gauge invariance in a one-dimensional SU(2) lattice gauge system and discuss the potential extension to other non-Abelian gauge symmetries and higher spatial dimensions. The presented coherent control scheme holds promise for the quantum simulation of non-Abelian lattice gauge theories due to its wide applicability.
Article
Astronomy & Astrophysics
Patrick Emonts, Ariel Kelman, Umberto Borla, Sergej Moroz, Snir Gazit, Erez Zohar
Summary: Tensor network states, particularly projected entangled pair states (PEPS), have been widely used for variational study of quantum many-body systems. In this work, we employ a special kind of PEPS, called Gaussian fermionic PEPS (GGFPEPS), to obtain the ground state of 2+1 dimensional pure Z2 lattice gauge theories. By combining PEPS methods with Monte-Carlo computations, we overcome the bottleneck of computing the Pfaffian of a matrix scaling with the system size. This breakthrough allows for efficient and sign-problem-free calculations in other gauge groups, higher dimensions, and models with fermionic matter.
Article
Optics
Cristian Tabares, Erez Zohar, Alejandro Gonzalez-Tudela
Summary: This study demonstrates how to utilize multilevel emitters to design photon-mediated interactions between effective spin-1 systems and provides specific implementations based on the atomic level structure of alkali atoms. These results expand the application of the quantum simulation toolbox and enable the design of entangling gates among qutrits in cavity QED and quantum nanophotonic setups.
Article
Materials Science, Multidisciplinary
Hannes Riechert, Jad C. Halimeh, Valentin Kasper, Landry Bretheau, Erez Zohar, Philipp Hauke, Fred Jendrzejewski
Summary: Lattice gauge theories play a fundamental role in various fields such as particle physics, condensed matter, and quantum information science. Recent experimental progress has shown that they can be studied using synthetic quantum systems. However, scalability remains a challenge, necessitating exploration of different experimental setups.
Article
Optics
Shachar Ashkenazi, Erez Zohar
Summary: Duality transformations play a crucial role in classical and quantum physics, facilitating the connection between seemingly different formulations of the same physical realm. In this paper, the authors propose a feasible scheme for implementing duality transformations as physical operations in quantum simulation, providing a mapping between dual quantum states that exhibit the same observable physics.
Article
Astronomy & Astrophysics
Tom Shachar, Erez Zohar
Summary: We present a continuous tensor-network construction called continuous projected entangled pair state (cPEPS) for quantum fields, which has the same symmetries as the ground states of relativistic field theories. We demonstrate how this state can approximate and converge to the vacuum state of the free field theory, and propose a regularization-independent method for estimating the convergence. Additionally, we provide a detailed bottom-up construction of cPEPS as the continuum limit of the conventional lattice projected entangled pair state.
