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Related papers: Energetic cost of quantum control protocols

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The strategy of shortcuts to adiabaticity enables us to realize adiabatic dynamics in finite time. In the counter-diabatic driving approach, an auxiliary Hamiltonian which is called the counter-diabatic Hamiltonian is appended to an…

Quantum Physics · Physics 2017-08-24 Takuya Hatomura

In this paper we study up to which extent we can apply adiabatic control strategies to a quantum control model obtained by rotating wave approximation. In particular, we show that, under suitable assumptions on the asymptotic regime between…

Optimization and Control · Mathematics 2021-01-12 Nicolas Augier , Ugo Boscain , Mario Sigalotti

The critical quantum metrology, which exploits the quantum phase transition for high precision measurement, has gained increasing attention recently. The critical quantum metrology with the continuous quantum phase transition, however, is…

Quantum Physics · Physics 2021-02-16 Ran Liu , Yu Chen , Min Jiang , Xiaodong Yang , Ze Wu , Yuchen Li , Haidong Yuan , Xinhua Peng , Jiangfeng Du

We discuss dynamics of periodically-driven open quantum systems. The time evolution of the quantum state is described by the quantum master equation and the form of the dissipator is chosen so that the instantaneous stationary state is…

Quantum Physics · Physics 2022-11-08 Kazutaka Takahashi

We present a new quantum adiabatic theorem that allows one to rigorously bound the adiabatic timescale for a variety of systems, including those described by unbounded Hamiltonians. Our bound is geared towards the qubit approximation of…

Quantum Physics · Physics 2024-01-17 Evgeny Mozgunov , Daniel A. Lidar

We investigate the performance of a quantum Otto refrigerator operating in finite time and exploiting local counterdiabatic techniques. We evaluate its coefficient of performance and cooling power when the working medium consists a quantum…

Quantum Physics · Physics 2020-05-13 Obinna Abah , Mauro Paternostro , Eric Lutz

Multipartite quantum correlated systems (MQCSs) are widely utilized in diverse quantum information tasks, where their sophisticated control inherently incurs energetic costs. However, the fundamental characteristics of these control costs…

Quantum Physics · Physics 2025-06-23 Rui Guan , Junjie Liu , Jian-Hua Jiang

We study the application of a counter-diabatic driving (CD) technique to enhance the thermodynamic efficiency and power of a quantum Otto refrigerator based on a superconducting qubit coupled to two resonant circuits. Although the CD…

Quantum Physics · Physics 2019-07-10 Ken Funo , Neill Lambert , Bayan Karimi , Jukka P. Pekola , Yuta Masuyama , Franco Nori

We study adaptive control of classical ergodic Hamiltonian systems, where the controlling parameter varies slowly in time and is influenced by system's state (feedback). An effective adiabatic description is obtained for slow variables of…

Statistical Mechanics · Physics 2009-11-13 A. E. Allahverdyan , D. B. Saakian

Counterdiabatic driving (CD) exploits auxiliary control fields to tailor the nonequilibrium dynamics of a quantum system, making possible the suppression of dissipated work in finite-time thermodynamics and the engineering of optimal…

Quantum Physics · Physics 2017-03-14 Ken Funo , Jing-Ning Zhang , Cyril Chatou , Kihwan Kim , Masahito Ueda , Adolfo del Campo

We examine excitation suppression in the transverse-field Ising model (TFIM), where finite-time drive across a quantum critical point is assisted by the presence of a time-dependent coupling parameter. While conventional counterdiabatic…

Other Condensed Matter · Physics 2025-10-27 S John Sharon Sandeep , Dibyajyoti Sahu , Suhas Gangadharaiah

We theoretically and experimentally study finite-time optimal control of a colloidal particle steered through a spatially inhomogeneous environment, modeled by a position-dependent energetic cost at the final state. The competition between…

Statistical Mechanics · Physics 2026-04-29 Jan Meibohm , Samuel Monter , Sarah A. M. Loos , Clemens Bechinger

Tremendous research efforts have been invested in exploring and designing so-called shortcuts to adiabaticity. These are finite-time processes that produce the same final states that would result from infinitely slow driving. Most of these…

Statistical Mechanics · Physics 2020-08-11 Sebastian Deffner , Marcus V. S. Bonança

We study driven finite quantum systems in contact with a thermal reservoir in the regime in which the system changes slowly in comparison to the equilibration time. The associated isothermal adiabatic theorem allows us to control the full…

Mathematical Physics · Physics 2016-09-22 Tristan Benoist , Martin Fraas , Vojkan Jaksic , Claude-Alain Pillet

Adiabatic evolution is a powerful technique in quantum information and computation. However, its performance is limited by the adiabatic theorem of quantum mechanics. In this scenario, shortcuts to adiabaticity, such as provided by the…

Quantum Physics · Physics 2016-03-17 Alan C. Santos

We consider a system described by a controlled bilinear Schr{\"o}dinger equation with three external inputs. We provide a constructive method to approximately steer the system from a given energy level to a superposition of energy levels…

Optimization and Control · Mathematics 2015-02-25 Paolo Mason , Francesca Chittaro

In this work, we study the counterdiabatic driving scheme in pseudo- and antipseudo- Hermitian systems. By discussing the adiabatic condition for non-Hermitian system, we show that the adiabatic evolution of state can only be realized in…

Quantum Physics · Physics 2023-07-14 Y. H. Song , Xin Wang , H. D. Liu , X. X. Yi

We show that by a suitable choice of a time dependent Hamiltonian, Deutsch's algorithm can be implemented by an adiabatic quantum computer. We extend our analysis to the Deutsch-Jozsa problem and estimate the required running time for both…

Quantum Physics · Physics 2009-11-07 Saurya Das , Randy Kobes , Gabor Kunstatter

Inventory and queueing systems are often designed by controlling weighted combination of some time-averaged performance metrics (like cumulative holding, shortage, server-utilization or congestion costs); but real-world constraints, like…

Optimization and Control · Mathematics 2025-07-01 Madhu Dhiman , Veeraruna Kavitha , Nandyala Hemachandra

We introduce a method to speed up adiabatic protocols for creating entanglement between two qubits dispersively coupled to a transmission line, while keeping fidelities high and maintaining robustness to control errors. The method takes…

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