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We propose a method to produce fast transitionless dynamics for finite-dimensional quantum systems without requiring additional Hamiltonian components not included in the initial control setup, remaining close to the true adiabatic path at…

Quantum Physics · Physics 2018-11-09 Francesco Petiziol , Benjamin Dive , Florian Mintert , Sandro Wimberger

We study the dissipative Rabi model under deep strong far-off-resonant driving when the driving frequency and strength exceed significantly the qubit transition frequency. We find analytical expressions for the density matrix, the…

Mesoscale and Nanoscale Physics · Physics 2017-05-05 A. P. Saiko , S. A. Markevich , R. Fedaruk

Trotter errors in digitized quantum dynamics arise from approximating time-ordered evolution under noncommuting Hamiltonian terms with a product formula. In the adiabatic regime, such errors are known to exhibit long-time self-healing…

We show that the quantum Fisher information attained in an adiabatic approach to critical quantum metrology cannot lead to the Heisenberg limit of precision and therefore regular quantum metrology under optimal settings is always superior.…

Quantum Physics · Physics 2021-07-07 Karol Gietka , Friederike Metz , Tim Keller , Jing Li

We introduce an inhomogeneous protocol to drive a weakly disordered quantum spin chain quasi-adiabatically across a quantum phase transition and minimize the residual energy of the final state. The number of spins that simultaneously reach…

Quantum Physics · Physics 2016-12-28 Marek M. Rams , Masoud Mohseni , Adolfo del Campo

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

At present, several models for quantum computation have been proposed. Adiabatic quantum computation scheme particularly offers this possibility and is based on a slow enough time evolution of the system, where no transitions take place. In…

Quantum Physics · Physics 2012-10-12 P. J. Salas Peralta

Time-rescaling (TR) has been recently proposed as a method to engineer fast processes, also known as shortcuts to adiabaticity (STA), which enables the coherent control of quantum systems beyond the adiabatic regime [B. L. Bernardo, Phys.…

Among variational quantum algorithms designed for NISQ devices, ADAPT-VQE stands out for its robustness against barren plateaus, particularly in estimating molecular ground states. On the other hand, counterdiabatic algorithms have shown…

Quantum Physics · Physics 2026-01-12 Diego Tancara , Herbert Díaz-Moraga , Dardo Goyeneche

The extended quantum Rabi models make a significant contribution to understand the quantum nature of the atom-light interaction. We transform two kinds of extended quantum Rabi model, anisotropic Rabi model and asymmetric Rabi model, into…

Quantum Physics · Physics 2022-07-20 Yibo Liu , Lijun Mao , Yunbo Zhang

Codesign, an integral part of computer architecture referring to the information interaction in hardware-software stack, is able to boost the algorithm mapping and execution in the computer hardware. This well applies to the noisy…

We propose a concatenated approach for implementing transitionless quantum driving regardless of adiabatic conditions while being robustness with respect to all kinds of systematic errors induced by pulse duration, pulse amplitude,…

Quantum Physics · Physics 2023-07-18 Zhi-Cheng Shi , Cheng Zhang , Li-Tuo Shen , Jie Song , Yan Xia , X. X. Yi

Advanced bosonic quantum computing architectures demand nonlocal Gaussian operations such as two-mode squeezing to unlock universal control, enable entanglement generation, and implement logical operations across distributed modes. This…

Quantum Physics · Physics 2025-07-31 Eliya Blumenthal , Nir Gutman , Ido Kaminer , Shay Hacohen-Gourgy

We derive a systematic high-frequency expansion for the effective Hamiltonian and the micromotion operator of periodically driven quantum systems. Our approach is based on the block diagonalization of the quasienergy operator in the…

Quantum Gases · Physics 2015-09-25 André Eckardt , Egidijus Anisimovas

Fast quasi-adiabatic driving (FAQUAD) is a central technique in shortcuts to adiabaticity (STA), enabling accelerated adiabatic evolution by optimizing the rate of change of a single control parameter. However, many realistic systems are…

Applied Physics · Physics 2025-11-04 Dong Liu , Yiran Hao , Jensen Li

The nonadiabatic dynamics of a many-body system driven through a quantum critical point can be controlled using counterdiabatic driving, where the formation of excitations is suppressed by assisting the dynamics with auxiliary multiple-body…

Quantum Physics · Physics 2014-12-08 Hamed Saberi , Tomáš Opatrný , Klaus Mølmer , Adolfo del Campo

Transitionless quantum driving achieves adiabatic evolution in a hurry, using a counter-diabatic Hamiltonian to stifle non-adiabatic transitions. Here this strategy is cast in terms of a generator of adiabatic transport, leading to a…

Quantum Physics · Physics 2015-06-16 Christopher Jarzynski

Control Co-Design (CCD) considers the coupled effects of both the plant and control parameters to optimize a system's closed-loop transient performance during the design stage. This paper presents a new method for CCD with guarantees on…

Systems and Control · Electrical Eng. & Systems 2023-10-19 Trevor J. Bird , Jacob A. Siefert , Herschel C. Pangborn , Neera Jain

We propose a hybrid classical-quantum digitized-counterdiabatic algorithm to tackle the protein folding problem on a tetrahedral lattice. Digitized-counterdiabatic quantum computing is a paradigm developed to compress quantum algorithms via…

Quantum Physics · Physics 2023-07-13 Pranav Chandarana , Narendra N. Hegade , Iraitz Montalban , Enrique Solano , Xi Chen

We propose an adiabatic-elimination formalism in the dispersive regime based on a transition-centric perturbation theory. The perturbative expansion is recast into a diagrammatic framework, while adiabatic elimination is implemented through…

Quantum Physics · Physics 2026-05-15 Mohamed Meguebel , Maxime Federico , Louis Garbe , Nadia Belabas , Nicolas Fabre