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We consider a dynamical system with finitely many equilibria and perturbed by small noise, in addition to being controlled by an `expensive' control. The controlled process is optimal for an ergodic criterion with a running cost that…

Probability · Mathematics 2019-03-20 Ari Arapostathis , Anup Biswas , Vivek S. Borkar

Quantum optimal control theory is a powerful tool for engineering quantum systems subject to external fields such as the ones created by intense lasers. The formulation relies on a suitable definition for a target functional, that…

Quantum Physics · Physics 2015-05-20 David Kammerlander , Alberto Castro , Miguel A. L. Marques

We analyze how maximal entanglement is generated at the fundamental level in QED by studying correlations between helicity states in tree-level scattering processes at high energy. We demonstrate that two mechanisms for the generation of…

High Energy Physics - Theory · Physics 2017-11-27 Alba Cervera-Lierta , José I. Latorre , Juan Rojo , Luca Rottoli

Motivated by the recent interest in thermodynamics of micro- and mesoscopic quantum systems we study the maximal amount of work that can be reversibly extracted from a quantum system used to store temporarily energy. Guided by the notion of…

Quantum Physics · Physics 2013-05-01 Robert Alicki , Mark Fannes

This article presents a method to automatically generate energy-optimal trajectories for systems with linear dynamics, linear constraints, and a quadratic cost functional (LQ systems). First, using recent advancements in optimal control, we…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Logan E. Beaver

We study to what extent the detrimental impact of dissipation on quantum properties can be compensated by suitable coherent dynamics. To this end, we develop a general method to determine the control Hamiltonian that optimally counteracts a…

Quantum Physics · Physics 2013-08-05 Simeon Sauer , Clemens Gneiting , Andreas Buchleitner

The dynamical evolution of a quantum system composed of two coupled cavities, each containing a two-level atom and a single-mode thermal field, is investigated under different conditions. The entanglement between the two atoms is controlled…

Quantum Physics · Physics 2014-01-28 Li-Tuo Shen , Zhen-Biao Yang , Huai-Zhi Wu , Xin-Yu Chen , Shi-Biao Zheng

We investigate entanglement dynamics in multipartite systems, establishing a quantitative concept of entanglement flow: both flow through individual particles, and flow along general networks of interacting particles. In the former case,…

Quantum Physics · Physics 2009-11-10 T. S. Cubitt , F. Verstraete , J. I. Cirac

It is shown that effective quantum-state and entanglement transfer can be obtained by inducing a coherent dynamics in quantum wires with homogeneous intrawire interactions. This goal is accomplished by tuning the coupling between the wire…

Entanglement of fundamental degrees of freedom in particle physics is generated ab initio in scattering processes. In the case of a pure $SU(N)$ gauge theory, two gluons in a product state can be entangled in their polarizations as the…

High Energy Physics - Theory · Physics 2026-03-19 Claudia Núñez , Alba Cervera-Lierta , José Ignacio Latorre

In this paper, we focus on a method based on optimal control to address the optimization problem. The objective is to find the optimal solution that minimizes the objective function. We transform the optimization problem into optimal…

Optimization and Control · Mathematics 2023-09-12 Yeming Xu , Ziyuan Guo , Hongxia Wang , Huanshui Zhang

A contemporary technological milestone is to build a quantum device performing a computational task beyond the capability of any classical computer, an achievement known as quantum adversarial advantage. In what ways can the entanglement…

Quantum Physics · Physics 2020-02-05 Jacob D. Biamonte , Mauro E. S. Morales , Dax Enshan Koh

We investigate novel protocols for entanglement purification of qubit Bell pairs. Employing genetic algorithms for the design of the purification circuit, we obtain shorter circuits achieving higher success rates and better final fidelities…

Quantum Physics · Physics 2019-02-22 Stefan Krastanov , Victor V. Albert , Liang Jiang

We investigate the thermal entanglement in two superconducting qubits for arbitrary interaction strength and ground state frequencies. We calculate the concurrence of the system to quantify the thermal entanglement. We suggest a scheme,…

Quantum Physics · Physics 2022-11-02 Areeda Ayoub , Javed Akram

We investigate optimal states of photon pairs to excite a target transition in a multilevel quantum system. With the help of coherent control theory for two-photon absorption with quantum light, we infer the maximal population achievable by…

Quantum Physics · Physics 2021-06-09 Edoardo G. Carnio , Andreas Buchleitner , Frank Schlawin

We study the problem of state transition on a finite time interval with minimal energy supply for linear port-Hamiltonian systems. While the cost functional of minimal energy supply is intrinsic to the port-Hamiltonian structure, the…

Optimization and Control · Mathematics 2023-11-21 Timm Faulwasser , Jonas Kirchhoff , Volker Mehrmann , Friedrich Philipp , Manuel Schaller , Karl Worthmann

In this paper, we demonstrate an approach to quantum robust control based on the tools of geometric optimal control. The central objects of interest are the sensitivity functions defined as the coefficients in the Taylor expansion of the…

Quantum Physics · Physics 2026-03-31 Francesca Albertini , Domenico D'Alessandro

It is well known that highly volatile control laws, while theoretically optimal for certain systems, are undesirable from an engineering perspective, being generally deleterious to the controlled system. In this article we are concerned…

Systems and Control · Electrical Eng. & Systems 2020-09-22 Avinash Mohan , Shie Mannor , Arman Kizilkale

The optimal coordination rates are determined in three primary settings of multi-user quantum networks, thus characterizing the minimal resources required in order to simulate a joint quantum state among multiple parties. We study the…

Quantum Physics · Physics 2025-02-28 Hosen Nator , Uzi Pereg

We analyze the quantum resource generation of capacitively-coupled multilevel transmon circuits surrounded by bosonic baths, within the Markovian limit. In practice, the superconducting circuit elements are usually part of a larger circuit,…

Quantum Physics · Physics 2024-01-24 Tanaya Ray , Ahana Ghoshal , Debraj Rakshit , Ujjwal Sen
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