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Quantum link models (QLMs) are generalizations of Wilson's lattice gauge theory formulated with finite-dimensional link Hilbert spaces. In certain cases, the non-Abelian Gauss Law constraint can be exactly solved, and the gauge invariant…

High Energy Physics - Lattice · Physics 2024-12-16 Graham Van Goffrier , Debasish Banerjee , Bipasha Chakraborty , Emilie Huffman , Sandip Maiti

The effective residual interaction for a system of hadrons has a long tradition in theoretical physics. It has been mostly addressed in terms of boson exchange models. The aim of this review is to describe approaches based on lattice field…

High Energy Physics - Lattice · Physics 2007-05-23 H. Rudolf Fiebig , Harald Markum

A new quantum link microstructure was proposed for the lattice quantum chromodynamics (QCD) Hamiltonian, replacing the Wilson gauge links with a bilinear of fermionic qubits, later generalized to D-theory. This formalism provides a general…

High Energy Physics - Theory · Physics 2023-12-11 David Berenstein , Richard Brower , Hiroki Kawai

It is widely anticipated that a large-scale quantum computer will offer an evermore accurate simulation of nature, opening the floodgates for exciting scientific breakthroughs and technological innovations. Here, we show a complete,…

Quantum Physics · Physics 2022-01-27 Angus Kan , Yunseong Nam

The pursuit of superconducting-based quantum computers has advanced the fabrication of and experimentation with custom lattices of qubits and resonators. Here, we describe a roadmap to use present experimental capabilities to simulate an…

Quantum Physics · Physics 2020-06-29 Yariv Yanay , Jochen Braumüller , Simon Gustavsson , William D. Oliver , Charles Tahan

Quantum resources such as entanglement, information redundancy, and coherence enable revolutionary advantages but obey fundamental tradeoffs. We present a unified geometric constraint governing three core operational tasks: teleportation…

Quantum Physics · Physics 2025-06-16 Justin K. Edmondson

Large superconducting quantum circuits have a number of important applications in quantum computing. Accurately predicting the performance of these devices from first principles is challenging, as it requires solving the many-body…

Quantum simulations is a promising field where a controllable system is used to mimic another system of interest, whose properties one wants to investigate. One of the key issues for such simulations is the ability to control the…

Quantum Physics · Physics 2019-03-20 Anette Messinger , Bruno G. Taketani , Frank K. Wilhelm

Quantum Fourier transform (QFT) is a widely used building block for quantum algorithms, whose scalable implementation is challenging in experiments. Here, we propose a protocol of quadratic quantum Fourier transform (QQFT), considering cold…

Quantum Physics · Physics 2022-11-02 Pei Wang , Zhijuan Huang , Xingze Qiu , Xiaopeng Li

Tools necessary for quantum simulations of $1+1$ dimensional quantum chromodynamics are developed. When formulated in axial gauge and with two flavors of quarks, this system requires 12 qubits per spatial site with the gauge fields included…

We develop a hybrid qubit-qumode framework for simulating quantum electrodynamics in 2+1 dimensions. In this approach, fermionic matter fields are represented by qubits, while U(1) gauge fields are encoded in continuous-variable bosonic…

Quantum Physics · Physics 2025-11-27 Victor Ale , Tommaso Rainaldi , Enrique Rico , Felix Ringer , George Siopsis

The strong coupling constant alpha_s(mu_0), taken at a fixed reference scale mu_0, is the single free parameter of QCD and should be known to the highest available precision. The value of alpha_s should also be determined with good accuracy…

High Energy Physics - Lattice · Physics 2017-08-23 Attilio Cucchieri

The numerical technique of Lattice QCD holds the promise of connecting the nuclear forces, nuclei, the spectrum and structure of hadrons, and the properties of matter under extreme conditions with the underlying theory of the strong…

Nuclear Theory · Physics 2015-06-23 Silas R. Beane , William Detmold , Kostas Orginos , Martin J. Savage

The strong coupling limit ($\beta_{gauge}=0$) of lattice QCD with staggered fermions enjoys the same non-perturbative properties as continuum QCD, namely confinement and chiral symmetry breaking. In contrast to the situation at weak…

High Energy Physics - Lattice · Physics 2010-01-21 M. Fromm , Ph. de Forcrand

We study the phase diagram of quark matter at finite temperature (T) and chemical potential (mu) in the strong coupling region of lattice QCD for color SU(3). Baryon has effects to extend the hadron phase to a larger mu direction relative…

High Energy Physics - Lattice · Physics 2008-11-26 A. Ohnishi , N. Kawamoto , K. Miura

Correlated quantum many-body phenomena in lattice models have been identified as a set of physically interesting problems that cannot be solved classically. Analog quantum simulators, in photonics and microwave superconducting circuits,…

Quantum Physics · Physics 2023-10-24 Abhi Saxena , Erfan Abbasgholinejad , Arka Majumdar , Rahul Trivedi

We study the phase diagram of quark matter at finite temperature and density in the strong coupling lattice QCD with one species of unrooted staggered fermions including finite coupling ($1/g^2$) effects for color SU($N_c$). We find that we…

Nuclear Theory · Physics 2010-04-28 Kohtaroh Miura , Takashi Z. Nakano , Akira Ohnishi

Solving atomic nuclei from first principles places enormous demands on computational resources, which grow exponentially with increasing number of particles and the size of the space they occupy. We present first quantum simulations based…

We consider a quantum system with a finite number of distinguishable quantum states, which may be partitioned freely by a number of quantum particles, assumed to be maximally entangled. We show that if we partition the system into a number…

We consider bosonized $QCD_2$, and prove that after rewritting the theory in terms of gauge invariant fields, there exists an integrability condition valid for the quantum theory as well. Furthermore, performing a duality type…

High Energy Physics - Theory · Physics 2011-07-19 E. Abdalla , M. C. B. Abdalla