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The quantum speed limit specifies a universal bound of the fidelity between the initial state and the time-evolved state. We apply this method to find a bound of the fidelity between the adiabatic state and the time-evolved state. The bound…

Quantum Physics · Physics 2020-07-22 Keisuke Suzuki , Kazutaka Takahashi

Adiabatic passage is a standard tool for achieving robust transfer in quantum systems. We show that, in the context of driven nonlinear Hamiltonian systems, adiabatic passage becomes highly non-robust when the target is unstable. We show…

Quantum Physics · Physics 2020-11-11 Jing-Jun Zhu , Xi Chen , Hans-Rudolf Jauslin , Stéphane Guérin

We give a careful proof that a parallelized version of adiabatic quantum computation can efficiently simulate universal gate model quantum computation. The proof specifies an explicit parameter-dependent Hamiltonian $H({\lambda})$ that is…

Quantum Physics · Physics 2019-02-20 Ari Mizel

In these lecture notes, we review the adiabatic theorem in quantum mechanics, focusing on a recent extension to many-body systems. The role of locality is emphasized and the relation to the quasi-adiabatic flow discussed. An important…

Mathematical Physics · Physics 2019-03-19 Sven Bachmann , Wojciech De Roeck , Martin Fraas

Quantum computing promises significant improvements of computation capabilities in various fields such as machine learning and complex optimization problems. Recent technological advancements suggest that the adiabatic quantum computing…

Quantum Physics · Physics 2021-05-06 Veit Stooß , Martin Ulmke , Felix Govaers

We present numerical calculations, and simulations performed on a Rydberg atom quantum simulator, of the adiabatic evolution of many-body quantum systems around a quantum phase transition. We demonstrate that the end-to-end transfer error,…

Quantum Physics · Physics 2025-12-22 Emil T. M. Pedersen , Freek Witteveen , Klaus Mølmer , Matthias Christandl

In his famous 1981 talk, Feynman proposed that unlike classical computers, which would presumably experience an exponential slowdown when simulating quantum phenomena, a universal quantum simulator would not. An ideal quantum simulator…

Quantum Physics · Physics 2013-12-04 J. D. Biamonte , V. Bergholm , J. D. Whitfield , J. Fitzsimons , A. Aspuru-Guzik

In this review we consider the performance of the quantum adiabatic algorithm for the solution of decision problems. We divide the possible failure mechanisms into two sets: small gaps due to quantum phase transitions and small gaps due to…

Quantum Physics · Physics 2015-04-21 C. R. Laumann , R. Moessner , A. Scardicchio , S. L. Sondhi

We introduce a scheme based on adiabatic passage that allows for long-range quantum communication through tight-binding chain with always-on interaction. By adiabatically varying the external gate voltage applied on the system, the electron…

Quantum Physics · Physics 2012-07-10 Bing Chen , Wei Fan , Yan Xu , Zhao-yang Chen , Xun-li Feng , C. H. Oh

Quantum computing employs controllable interactions to perform sequences of logical gates and entire algorithms on quantum registers. This paradigm has been widely explored, e.g., for simulating dynamics of manybody systems by decomposing…

Quantum Physics · Physics 2025-05-21 S. Alipour , A. T. Rezakhani , Alireza Tavanfar , K. Mölmer , T. Ala-Nissila

Variational methods have offered controllable and powerful tools for capturing many-body quantum physics for decades. The recent introduction of expressive neural network quantum states has enabled the accurate representation of a broad…

Quantum Physics · Physics 2025-10-20 Matija Medvidović , Alev Orfi , Juan Carrasquilla , Dries Sels

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 review a scheme for the systematic design of quantum control protocols based on shortcuts to adiabaticity in few-level quantum systems. The adiabatic dynamics is accelerated by introducing high-frequency modulations in the control…

Quantum Physics · Physics 2024-02-08 Francesco Petiziol , Florian Mintert , Sandro Wimberger

We introduce a novel technique for efficiently cooling many-body quantum systems with unknown Hamiltonians down to their ground states with a high fidelity. The technique involves initially applying a strong external field followed by a…

Quantum Physics · Physics 2024-08-20 Tarek A. Elsayed

We describe a scheme for using an all-electrical, rapid, adiabatic population transfer between two spatially separated dots in a triple-quantum dot system. The electron spends no time in the middle dot and does not change its energy during…

Other Condensed Matter · Physics 2007-05-23 Andrew D. Greentree , Jared H. Cole , A. R. Hamilton , Lloyd C. L. Hollenberg

We introduce an adiabatic long-range quantum communication proposal based on a quantum dot array. By adiabatically varying the external gate voltage applied on the system, the quantum information encoded in the electron can be transported…

Quantum Physics · Physics 2012-07-10 Bing Chen , Q. H. Shen , Wei Fan , Yan Xu

Many physically interesting models show a quantum phase transition when a single parameter is varied through a critical point, where the ground state and the first excited state become degenerate. When this parameter appears as a coupling…

Quantum Physics · Physics 2008-09-24 Gernot Schaller

Adiabatic quantum control is a powerful tool for quantum engineering and a key component in some quantum computation models, where accurate control over the timing of the involved pulses is not needed. However, the adiabatic condition…

Quantum Physics · Physics 2017-06-14 Bao-Jie Liu , Zhen-Hua Huang , Zheng-Yuan Xue , Xin-Ding Zhang

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…

Quantum Physics · Physics 2019-09-17 Davide Pastorello , Enrico Blanzieri

In this paper, decoherence is studied for quantum systems undergoing adiabatic processes, which are coupled to huge quantum environments. It is shown that decoherence can happen with respect to a preferred basis given by transient…

Quantum Physics · Physics 2018-01-31 Wen-ge Wang