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In [Phys. Rev. Lett. 95, 080502 (2005)], Zheng proposed a scheme for implementing a conditional phase shift via adiabatic passages. The author claims that the gate is "neither of dynamical nor geometric origin" on the grounds that the…

量子物理 · 物理学 2009-10-30 Ognyan Oreshkov , John Calsamiglia

We show that a noncyclic phase of geometric origin has to be included in the approximate adiabatic wave function. The adiabatic noncyclic geometric phase for systems exhibiting a conical intersection as well as for an Aharonov-Bohm…

量子物理 · 物理学 2009-10-31 Gonzalo Garcia de Polavieja , Erik Sjoeqvist

We design an adiabatic quantum algorithm for the counting problem, i.e., approximating the proportion, $\alpha$, of the marked items in a given database. As the quantum system undergoes a designed cyclic adiabatic evolution, it acquires a…

量子物理 · 物理学 2009-08-21 Chi Zhang , Zhaohui Wei , Anargyros Papageorgiou

The success of adiabatic quantum computation (AQC) depends crucially on the ability to maintain the quantum computer in the ground state of the evolution Hamiltonian. The computation process has to be sufficiently slow as restricted by the…

量子物理 · 物理学 2008-07-31 Man-Hong Yung

An adiabatic quantum algorithm is essentially given by three elements: An initial Hamiltonian with known ground state, a problem Hamiltonian whose ground state corresponds to the solution of the given problem and an evolution schedule such…

量子物理 · 物理学 2019-09-17 Davide Pastorello , Enrico Blanzieri

We develop a unified quantum geometric framework to understand reactive quantum dynamics. The critical roles of the quantum geometry of adiabatic electronic states in both adiabatic and non-adiabatic quantum dynamics are unveiled. A…

化学物理 · 物理学 2025-05-19 Yujuan Xie , Ruoxi Liu , Bing Gu

Exploiting the similarity between adiabatic quantum algorithms and quantum phase transitions, we argue that second-order transitions -- typically associated with broken or restored symmetries -- should be advantageous in comparison to…

量子物理 · 物理学 2010-01-07 Gernot Schaller , Ralf Schützhold

The parametric deformations of quasienergies and eigenvectors of unitary operators are applied to the design of quantum adiabatic algorithms. The conventional, standard adiabatic quantum computation proceeds along eigenenergies of…

量子物理 · 物理学 2015-05-14 Atushi Tanaka , Kae Nemoto

A universal scheme is introduced to speed up the dynamics of a driven open quantum system along a prescribed trajectory of interest. This framework generalizes counterdiabatic driving to open quantum processes. Shortcuts to adiabaticity…

量子物理 · 物理学 2020-09-30 S. Alipour , A Chenu , A. T. Rezakhani , A. del Campo

Adiabatic quantum computation has recently attracted attention in the physics and computer science communities, but its computational power was unknown. We describe an efficient adiabatic simulation of any given quantum algorithm, which…

量子物理 · 物理学 2007-11-22 Dorit Aharonov , Wim van Dam , Julia Kempe , Zeph Landau , Seth Lloyd , Oded Regev

Background: Solving nuclear many-body problems with an ab initio approach is widely recognized as a computationally challenging problem. Quantum computers offer a promising path to address this challenge. There are urgent needs to develop…

核理论 · 物理学 2021-05-20 Weijie Du , James P. Vary , Xingbo Zhao , Wei Zuo

We propose a protocol to realize atomic nonadiabatic holonomic quantum computation (NHQC) with two computational atoms and an auxiliary atom. Dynamics of the system is analyzed in the regime of Rydberg blockade, and robust laser pulses are…

量子物理 · 物理学 2020-09-02 Yi-Hao Kang , Zhi-Cheng Shi , Jie Song , Yan Xia

Quantum thermodynamics aims at investigating both the emergence and the limits of the laws of thermodynamics from a quantum mechanical microscopic approach. In this scenario, thermodynamic processes with no heat exchange, namely, adiabatic…

Geometric phases, which accompany the evolution of a quantum system and depend only on its trajectory in state space, are commonly studied in two-level systems. Here, however, we study the adiabatic geometric phase in a weakly anharmonic…

量子物理 · 物理学 2012-06-08 S. Berger , M. Pechal , S. Pugnetti , A. A. Abdumalikov , L. Steffen , A. Fedorov , A. Wallraff , S. Filipp

Adiabatic quantum computing is a powerful framework for state preparation, while its evolution time often scales quadratically in the inverse Hamiltonian spectral gap, leading to sub-optimal computational complexity. In this work, we…

量子物理 · 物理学 2025-12-16 Xi Guo , Dong An

The combined quantum electron-nuclear dynamics is often associated with the Born-Huang expansion of the molecular wave function and the appearance of nonadiabatic effects as a perturbation. On the other hand, native multicomponent…

We propose a scheme for generating atomic NOON states via adiabatic passage. In the scheme, a double $\Lambda$-type three-level atom is trapped in a bimodal cavity and two sets of $\Lambda$-type three-level atoms are translated into and…

量子物理 · 物理学 2016-05-17 Qi-Gong Liu , Qi-Cheng Wu , Xin Ji , Shou Zhang

Adiabatic quantum algorithms represent a promising approach to universal quantum computation. Whilst in a closed system these algorithms are limited by avoided level crossings, where the gap becomes exponentially small in the system size,…

We have developed an adiabatic Abelian geometric quantum computation strategy based on the non-degenerate energy eigenstates in (but not limited to) superconducting phase-qubit systems. The fidelity of the designed quantum gate was…

量子物理 · 物理学 2007-08-07 Z. H. Peng , H. F. Chu , Z. D. Wang , D. N. Zheng

Quantum adiabatic algorithm is of vital importance in quantum computation field. It offers us an alternative approach to manipulate the system instead of quantum gate model. Recently, an interesting work arXiv:1805.10549 indicated that we…

量子物理 · 物理学 2019-01-23 Jingwei Wen , Xiangyu Kong , Shijie Wei , Bixue Wang , Tao Xin , Guilu Long