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Recently there have been some controversies about the criterion of the adiabatic approximation. It is shown that an approximate diagonalization of the effective Hamiltonian in the second quantized formulation gives rise to a reliable and…

Quantum Physics · Physics 2008-11-26 Kazuo Fujikawa

For adiabatic controls of quantum systems, the non-adiabatic transitions are reduced by increasing the operation time of processes. Perfect quantum adiabaticity usually requires the infinitely slow variation of control parameters. In this…

Quantum Physics · Physics 2022-07-01 Jin-Fu Chen

Cavity magnomechanics provides a readily-controllable hybrid system, that consisted of cavity mode, magnon mode, and phonon mode, for quantum state manipulation. To implement a fast-and-robust state transfer between the hybrid photon-magnon…

Quantum Physics · Physics 2022-05-18 Shi-fan Qi , Jun Jing

We develop a resource efficient method by which the ground-state of an arbitrary k-local, optimization Hamiltonian can be encoded as the ground-state of a (k-1)-local optimization Hamiltonian. This result is important because adiabatic…

Quantum Physics · Physics 2014-10-16 Ryan Babbush , Bryan O'Gorman , Alán Aspuru-Guzik

The application of adiabatic protocols in quantum technologies is severely limited by environmental sources of noise and decoherence. Shortcuts to adiabaticity by counterdiabatic driving constitute a powerful alternative that speed up…

Quantum Physics · Physics 2019-07-12 Shuoming An , Dingshun Lv , Adolfo del Campo , Kihwan Kim

Ising spin Hamiltonians are often used to encode a computational problem in their ground states. Quantum Annealing (QA) computing searches for such a state by implementing a slow time-dependent evolution from an easy-to-prepare initial…

Quantum Physics · Physics 2022-05-02 Bin Yan , Nikolai A. Sinitsyn

Periodically driven systems have emerged as a useful technique to engineer the properties of quantum systems, and are in the process of being developed into a standard toolbox for quantum simulation. An outstanding challenge that leaves…

Quantum Physics · Physics 2024-10-24 Paul Manuel Schindler , Marin Bukov

Application of the adiabatic model of quantum computation requires efficient encoding of the solution to computational problems into the lowest eigenstate of a Hamiltonian that supports universal adiabatic quantum computation. Experimental…

Quantum Physics · Physics 2015-01-22 Yudong Cao , Ryan Babbush , Jacob Biamonte , Sabre Kais

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

Entangled many-body states are a key resource for quantum technologies. Yet their preparation through analog control of interacting quantum systems is often hindered by experimental imperfections. Here, we introduce the adiabatic echo…

It is believed that the presence of anticrossings with exponentially small gaps between the lowest two energy levels of the system Hamiltonian, can render adiabatic quantum optimization inefficient. Here, we present a simple adiabatic…

Quantum Physics · Physics 2013-05-30 Neil G. Dickson , Mohammad H. Amin

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…

We present experimental results on the preparation of a desired quantum state in a two-level system with the maximum possible fidelity using driving protocols ranging from generalizations of the linear Landau-Zener protocol to…

Quantum Physics · Physics 2012-11-08 N. Malossi , M. G. Bason , M. Viteau , E. Arimondo , R. Mannella , O. Morsch , D. Ciampini

Understanding how non-adiabatic terms affect quantum dynamics is fundamental to improving various protocols for quantum technologies. We present a novel approach to computing the Adiabatic Gauge Potential (AGP), which gives information on…

Quantum Physics · Physics 2025-01-15 Ewen D C Lawrence , Sebastian F J Schmid , Ieva Čepaitė , Peter Kirton , Callum W Duncan

We investigate the connection between local minima in the problem Hamiltonian and first order quantum phase transitions during an adiabatic quantum computation. We demonstrate how some properties of the local minima can lead to an extremely…

Quantum Physics · Physics 2013-05-29 M. H. S. Amin , V. Choi

Recently, the technique of counterdiabatic driving, which provides an effective strategy for accelerating adiabatic quantum evolution, has been widely applied in the preparation of many-body quantum states. In this work, we propose a…

Quantum Physics · Physics 2026-05-15 Fengzhe Tang , Gangcheng Wang

We propose here a counterdiabatic (CD) strategy for fast preparation of a state with long-range topological order by magnetic field tuning of an initial separable state. For concreteness, we consider the ground state of the honeycomb Kitaev…

Quantum Physics · Physics 2021-12-22 Sanjeev Kumar , Shekhar Sharma , Vikram Tripathi

Counterdiabatic driving emerges as a valuable technique for implementing shortcuts to adiabaticity protocols, enhancing quantum technology applications. In this context, counterdiabatic quantum computing represents a new paradigm with the…

We propose a nonadiabatic approach to quantum annealing, in which we repeat quantum annealing in nonadiabatic time scales, and collect the final states of many realizations to find the ground state among them. In this way, we replace the…

Statistical Mechanics · Physics 2013-03-26 Hitoshi Katsuda , Hidetoshi Nishimori

Adiabatic state preparation provides an analytical solution for generating the ground state of a target Hamiltonian, starting from an easily prepared ground state of the initial Hamiltonian. While effective for time-dependent Hamiltonians…

Quantum Physics · Physics 2026-01-21 Zekun He , A. F. Kemper , J. K. Freericks
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