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Related papers: JIMWLK on a quantum computer

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Quantum scientific computing is to solve engineering and science problems such as simulation and optimization on quantum computers. Solving ordinary and partial differential equations (PDEs) is essential in simulations. However, existing…

Numerical Analysis · Mathematics 2026-04-28 Eunsik Choi , Jungin E. Kim , Xueling Lu , Yan Wang

In processes involving small-x partons, like in deep inelastic scattering and in hadronic collisions at high energy, the final state can be expressed in terms of correlators of Wilson lines. We study such high-point correlators evolving…

High Energy Physics - Phenomenology · Physics 2013-02-06 M. Alvioli , G. Soyez , D. N. Triantafyllopoulos

This work develops a symplectic framework for quantum computing to be applied to classical Hamiltonian systems, exploiting the intrinsic geometric compatibility between unitary quantum evolution and symplectic phase-space dynamics in a…

We study the dynamics of a Brownian quantum particle hopping on an infinite lattice with a spin degree of freedom. This particle is coupled to free boson gases via a translation-invariant Hamiltonian which is linear in the creation and…

Mathematical Physics · Physics 2015-03-20 Wojciech De Roeck , Dominique Spehner

Both quantum information features and irreversible quantum evolution of the models arising in physical systems in one-particle approximation are discussed. It is shown that the calculation of the reduced density matrix and entanglement…

Quantum Physics · Physics 2020-08-21 A. E. Teretenkov

We address the evolution of heavy-quarkonium states in an expanding quark-gluon plasma by implementing effective field theory techniques in the framework of open quantum systems. In this setting we compute the nuclear modification factors…

High Energy Physics - Phenomenology · Physics 2017-08-30 Nora Brambilla , Miguel A. Escobedo , Joan Soto , Antonio Vairo

We consider evolution of observables which depend on a small but fixed value of longitudinal momentum fraction $x$, to high rapidity, such that $\eta>\ln 1/x$. We show that this evolution is not given by the JIMWLK (or BK) equation. We…

High Energy Physics - Phenomenology · Physics 2024-07-24 Haowu Duan , Alex Kovner , Michael Lublinsky

We introduce the notion of the Color Glass Condensate (CGC) density matrix $\hat\rho$. This generalizes the concept of probability density for the distribution of the color charges in the hadronic wave function and is consistent with…

High Energy Physics - Phenomenology · Physics 2019-05-22 Nestor Armesto , Fabio Dominguez , Alex Kovner , Michael Lublinsky , Vladimir Skokov

We are interested by the behaviour of a 1D single heavy particle, interacting with an environment made of very fast particles in a thermal state. Assuming that the interactions are instantaneous, we construct an appropriate quantum jump…

Mathematical Physics · Physics 2016-03-28 Christophe Gomez , Maxime Hauray

Precise and detailed knowledge of the internal structure of hadrons is one of the most actual problems in elementary particle physics. In view of the planned high energy physics facilities, in particular, the Electron-Ion Collider…

High Energy Physics - Phenomenology · Physics 2021-05-07 Piotr Korcyl

We introduce a variational hybrid classical-quantum algorithm to simulate the Lindblad master equation and its adjoint for time-evolving Markovian open quantum systems and quantum observables. Our method is based on a direct representation…

Quantum Physics · Physics 2023-05-19 Tasneem Watad , Netanel H. Lindner

In the high-energy limit of DIS experiments the effective degrees of freedom of QCD are Wilson line operators. Their evolution in the rapidity variable is predicted by the set of Balitsky-JIMWLK evolution equations. We analyze a new class…

High Energy Physics - Phenomenology · Physics 2024-10-22 Piotr Korcyl , Leszek Motyka , Tomasz Stebel

We present a quantum algorithm to simulate general finite dimensional Lindblad master equations without the requirement of engineering the system-environment interactions. The proposed method is able to simulate both Markovian and…

Quantum Physics · Physics 2015-06-09 R. Di Candia , J. S. Pedernales , A. del Campo , E. Solano , J. Casanova

This paper proposes a distributed computing framework for solving the Lindblad master equation in large-dimensional cavity QED systems. By leveraging the sparsity of the jump operator and combining this approach with the Cannon algorithm,…

Quantum Physics · Physics 2026-03-05 Hui-hui Miao

The exact solution of the Lindblad equation with a quadratic Hamiltonian and linear coupling operators was derived within the chord representation, that is, for the Fourier transform of the Wigner function, also known as the characteristic…

Quantum Physics · Physics 2023-10-04 Aldo R. Fernandes Neto , Alfredo M. Ozorio de Almeida , Olivier Brodier

We propose a hybrid quantum-classical algorithm for solving QUBO problems using an Imaginary Time Evolution-Mimicking Circuit (ITEMC). The circuit parameters are optimized to closely mimic imaginary time evolution, using only single- and…

Quantum Physics · Physics 2025-06-19 Yahui Chai , Alice Di Tucci

We quantify the effect of high-energy JIMWLK evolution on the deformed structure or heavy (Uranium) and intermediate (Ruthenium) nuclei. The soft gluon emissions in the high-energy evolution are found to drive the initially deformed nuclei…

Nuclear Theory · Physics 2024-11-25 Heikki Mäntysaari , Pragya Singh

Present knowledge of QCD n-point functions of Wilson lines at high energies is rather limited. In practical applications, it is therefore customary to factorize higher n-point functions into products of two-point functions (dipoles) which…

High Energy Physics - Phenomenology · Physics 2010-11-11 Adrian Dumitru , Jamal Jalilian-Marian

Since precisely controlling dissipation in realistic environments is challenging, digital simulation of the Lindblad master equation (LME) is of great significance for understanding nonequilibrium dynamics in open quantum systems. However,…

Quantum Physics · Physics 2026-02-02 Yu-Guo Liu , Heng Fan , Shu Chen

The time evolution of an open quantum system is governed by the Gorini-Kossakowski-Sudarshan-Lindlad equation for the reduced density operator of the system. This operator is obtained from the full density operator of the composite system…

Quantum Physics · Physics 2024-10-10 Aleek Maity , V V Sreedhar