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The quantum adiabatic algorithm is a Hamiltonian based quantum algorithm designed to find the minimum of a classical cost function whose domain has size N. We show that poor choices for the Hamiltonian can guarantee that the algorithm will…

量子物理 · 物理学 2008-06-30 Edward Farhi , Jeffrey Goldstone , Sam Gutmann , Daniel Nagaj

We employ quantum mechanical principles in the computability exploration of the class of classically noncomputable Hilbert's tenth problem which is equivalent to the Turing halting problem in Computer Science. The Quantum Adiabatic Theorem…

量子物理 · 物理学 2009-11-10 Tien D Kieu

We introduce an approach for quantum computing in continuous time based on the Lewis-Riesenfeld dynamic invariants. This approach allows, under certain conditions, for the design of quantum algorithms running on a nonadiabatic regime. We…

量子物理 · 物理学 2011-08-18 M. S. Sarandy , E. I. Duzzioni , R. M. Serra

Quantum phenomena have the potential to speed up the solution of hard optimization problems. For example quantum annealing, based on the quantum tunneling effect, has recently been shown to scale exponentially better with system size as…

量子物理 · 物理学 2017-04-27 Simon E. Nigg , Niels Loerch , Rakesh P. Tiwari

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…

量子物理 · 物理学 2026-01-12 Diego Tancara , Herbert Díaz-Moraga , Dardo Goyeneche

Nonadiabatic holonomic quantum computation (NHQC) has been developed to shorten the construction times of geometric quantum gates. However, previous NHQC gates require the driving Hamiltonian to satisfy a set of rather restrictive…

量子物理 · 物理学 2019-09-11 Bao-Jie Liu , Xue-Ke Song , Zheng-Yuan Xue , Xin Wang , Man-Hong Yung

A central challenge in the successful implementation of adiabatic quantum algorithms is to maintain the quantum adiabaticity during the entire evolution. However, the energy gap between the ground and the excited states of interacting…

量子物理 · 物理学 2018-02-08 Lin Tian

Different techniques to speed up quantum adiabatic processes are currently being explored for applications in atomic, molecular and optical physics, such as transport, cooling and expansions, wavepacket splitting, or internal state control.…

量子物理 · 物理学 2013-01-01 S. Ibáñez , Xi Chen , J. G. Muga

Quantum computation is a promising emerging technology, and by utilizing the principles of quantum mechanics, it is expected to achieve faster computations than classical computers for specific problems. There are two distinct architectures…

量子物理 · 物理学 2025-03-13 Takashi Imoto , Yuki Susa , Ryoji Miyazaki , Yuichiro Matsuzaki

Quantum annealing is a continuous-time heuristic quantum algorithm for solving or approximately solving classical optimization problems. The algorithm uses a schedule to interpolate between a driver Hamiltonian with an easy-to-prepare…

Adiabatic process has found many important applications in modern physics, the distinct merit of which is that it does not need accurate control over the timing of the process. However, it is a slow process, which limits the application in…

量子物理 · 物理学 2017-10-11 Xiao Zhou , Bao-Jie Liu , L. -B. Shao , Xin-Ding Zhang , Zheng-Yuan Xue

This paper presents the design of scalable quantum networks that utilize optical switches to interconnect multiple quantum processors, facilitating large-scale quantum computing. By leveraging these novel architectures, we aim to address…

Quantum annealing is a type of analog computation that aims to use quantum mechanical fluctuations in search of optimal solutions of QUBO (quadratic unconstrained binary optimization) or, equivalently, Ising problems. Since NP-hard problems…

量子物理 · 物理学 2023-04-14 Elijah Pelofske , Georg Hahn , Hristo N. Djidjev

We consider a classical and superadiabatic version of an iterative quantum adiabatic algorithm to solve combinatorial optimization problems. This algorithm is deterministic because it is based on purely classical dynamics, that is, it does…

统计力学 · 物理学 2020-05-08 Takuya Hatomura

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 show how to perform universal Hamiltonian and adiabatic computing using a time-independent Hamiltonian on a 2D grid describing a system of hopping particles which string together and interact to perform the computation. In this…

量子物理 · 物理学 2016-03-23 Seth Lloyd , Barbara Terhal

Quantum computation has attracted much attention, among other things, due to its potentialities to solve classical NP problems in polynomial time. For this reason, there has been a growing interest to build a quantum computer. One of the…

量子物理 · 物理学 2007-05-23 P. B. M. Sousa , R. V. Ramos

A goal of quantum information technology is to control the quantum state of a system, including its preparation, manipulation, and measurement. However, scalability to many qubits and controlled connectivity between any selected qubits are…

超导电性 · 物理学 2009-11-10 J. Q. You , J. S. Tsai , Franco Nori

The establishment of a scalable scheme for quantum computing with addressable and long-lived qubits would be a scientific watershed, harnessing the laws of quantum physics to solve classically intractable problems. The design of many…

量子物理 · 物理学 2010-04-23 N. Lundblad , J. M. Obrecht , I. B. Spielman , J. V. Porto

We have studied numerically the evolution of an adiabatic quantum computer in the presence of a Markovian ohmic environment by considering Ising spin glass systems with up to 20 qubits independently coupled to this environment via two…

介观与纳米尺度物理 · 物理学 2013-05-29 M. H. S. Amin , C. J. S. Truncik , D. V. Averin
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