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A periodic perturbation such as a laser field cannot induce transitions between two decoupled states for which the transition matrix element vanishes. We show, however, that if in addition some system parameters are varied adiabatically,…

Quantum Physics · Physics 2008-09-18 Xingxiang Zhou , Ari Mizel

This paper concerns quantum heuristics able to extend the domain of quantum computing, defining a promising way in the large number of well-known classical algorithms. Quantum approximate heuristics take advantage of alternation between a…

Quantum Physics · Physics 2022-07-22 Eric Bourreau , Gérard Fleury , Philippe Lacomme

Random access machines (RAMs) and random access stored-program machines (RASPs) are models of computing that are closer to the architecture of real-world computers than Turing machines (TMs). They are also convenient in complexity analysis…

Logic in Computer Science · Computer Science 2022-09-13 Qisheng Wang , Mingsheng Ying

To overcome the limitations of classical partially connected Boltzmann machines and mainstream quantum Boltzmann machines (QBMs), this work extends the conventional circuit of the quantum approximate optimization algorithm (QAOA) to a…

Quantum Physics · Physics 2026-05-13 Jun Liu

We investigate the applicability of the two major approximations which are most commonly employed in the study of the quantum Rabi model, namely the description of a resonant cavity mode as a single-mode quantized field and the use of the…

Quantum Physics · Physics 2017-09-25 I. D. Feranchuk , A. V. Leonov , O. D. Skoromnik

We analyze the performance of adiabatic quantum computation (AQC) under the effect of decoherence. To this end, we introduce an inherently open-systems approach, based on a recent generalization of the adiabatic approximation. In contrast…

Quantum Physics · Physics 2009-11-11 M. S. Sarandy , D. A. Lidar

We study quantum thermalization and thermal entanglement in the open quantum Rabi model (QRM), in which a two-level system and a single-mode bosonic field are coupled to either two individual heat baths or a common heat bath. By treating…

Quantum Physics · Physics 2023-02-14 Wang-Yan Liu , Li-Bao Fan , Ye-Xiong Zeng , Jin-Feng Huang , Jie-Qiao Liao

In this paper we describe an algebraic/geometrical approach to quantum scrambling. Generalized quantum subsystems are described by an hermitian-closed unital subalgebra $\cal A$ of operators evolving through a unitary channel.…

Quantum Physics · Physics 2022-03-14 Paolo Zanardi

We propose a nonadiabatic non-Abelian geometric quantum operation scheme to realize universal quantum computation with mesoscopic Rydberg atoms. A single control atom entangles a mesoscopic ensemble of target atoms through long-range…

Quantum Physics · Physics 2020-10-21 Chen-Yue Guo , L. -L. Yan , Shou Zhang , Shi-Lei Su , Weibin Li

We present a physically motivated variational wave function for the ground state of the asymmetric quantum Rabi model (AQRM). The wave function is a weighted superposition of squeezed coherent states entangled with non-orthogonal qubit…

Quantum Physics · Physics 2021-01-15 Zi-Min Li , Devid Ferri , Murray T. Batchelor

Dissipative quantum Rabi System, a finite-component system composed of a single two-level atom interacting with an optical cavity field mode, exhibits a quantum phase transition, which can be exploited to greatly enhance the estimation…

Quantum Physics · Physics 2023-07-06 Dong Xie , Chunling Xu , An Min Wang

We present a novel approach called the intermediate rotating wave approximation (IRWA), which employs a time-averaging method to encapsulate the dynamics of light-matter interaction from strong to ultrastrong coupling regime. In contrast to…

Quantum Physics · Physics 2015-02-11 Yimin Wang , Jing Yan Haw

Physical systems close to a quantum phase transition exhibit a divergent susceptibility, suggesting that an arbitrarily-high precision may be achieved by exploiting quantum critical systems as probes to estimate a physical parameter.…

Quantum Physics · Physics 2020-03-30 Louis Garbe , Matteo Bina , Arne Keller , Matteo G. A. Paris , Simone Felicetti

The self-consistent quasiparticle random-phase approximation (QRPA) approach is formulated in the canonical single-nucleon basis of the relativistic Hatree-Fock-Bogoliubov (RHFB) theory. This approach is applied to study the isobaric analog…

Nuclear Theory · Physics 2017-04-12 Z. M. Niu , Y. F. Niu , H. Z. Liang , W. H. Long , J. Meng

We assess the prospects for algorithms within the general framework of quantum annealing (QA) to achieve a quantum speedup relative to classical state of the art methods in combinatorial optimization and related sampling tasks. We argue for…

Quantum Physics · Physics 2021-06-22 E. J. Crosson , D. A. Lidar

We define the anisotropic Rabi model as the generalization of the spin-boson Rabi model: The Hamiltonian system breaks the parity symmetry; the rotating and counter-rotating interactions are governed by two different coupling constants; a…

Quantum Physics · Physics 2014-06-18 Qiong-Tao Xie , Shuai Cui , Jun-Peng Cao , Luigi Amico , Heng Fan

Analog quantum algorithms are formulated in terms of Hamiltonians rather than unitary gates and include quantum adiabatic computing, quantum annealing, and the quantum approximate optimization algorithm (QAOA). These algorithms are…

We revisit the derivation of Rabi- and Dicke-type models, which are commonly used for the study of quantum light-matter interactions in cavity and circuit QED. We demonstrate that the validity of the two-level approximation, which is an…

Quantum Physics · Physics 2018-11-21 Daniele De Bernardis , Philipp Pilar , Tuomas Jaako , Simone De Liberato , Peter Rabl

The Rabi Hamiltonian, describing the interaction between a two-level atomic system and a single cavity mode of the electromagnetic field, is one of the fundamental models in quantum optics. The model becomes exactly solvable by considering…

Quantum Physics · Physics 2021-08-04 Giovanni Scala , Karolina Słowik , Paolo Facchi , Saverio Pascazio , Francesco Pepe

We investigate the effects of counterrotating terms on geometric phase and its relation to the resonance of the Rabi model. We apply the unitary transformation with a single parameter to the Rabi model and obtain the transformed Hamiltonian…

Quantum Physics · Physics 2021-10-27 Sijiang Liu , Zhiguo Lü , Hang Zheng