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In this work, we investigate the computational aspects of asynchronous cellular automata (ACAs), a modification of cellular automata in which cells update independently, following an asynchronous schedule. We introduce flip automata…

形式语言与自动机理论 · 计算机科学 2025-10-20 Ivan Baburin , Matthew Cook , Florian Grötschla , Andreas Plesner , Roger Wattenhofer

A scalable superconducting architecture for adiabatic quantum computers is proposed. The architecture is based on time-independent, nearest-neighbor interqubit couplings: it can handle any problem in the class NP even in the presence of…

量子物理 · 物理学 2007-05-23 William M. Kaminsky , Seth Lloyd , Terry P. Orlando

We point out that, when an optimization problem has more than one solution, the quantum adiabatic algorithms (QAA) encounter topological obstructions leading to adiabatic spectral flows where spectral branches unavoidably traverse the…

量子物理 · 物理学 2026-03-24 Prathamesh S. Joshi , Emil Prodan

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…

量子物理 · 物理学 2021-06-22 E. J. Crosson , D. A. Lidar

In a system of two tunable-frequency qubits, it is well-known that adiabatic tuning into strong coupling-interaction regions between the qubit subspace and the rest of the Hilbert space can be used to generate an effective controlled Z…

量子物理 · 物理学 2024-10-18 Vihaan Dheer

We present a new cellular data processing scheme, a hybrid of existing cellular automata (CA) and gate array architectures, which is optimized for realization at the quantum scale. For conventional computing, the CA-like external clocking…

凝聚态物理 · 物理学 2009-10-31 S. C. Benjamin , N. F. Johnson

We present an iterative scheme to estimate the minimal duration in which a quantum gate can be realized while satisfying hardware constraints on the control pulse amplitudes. The scheme performs a sequence of unconstrained numerical optimal…

量子物理 · 物理学 2023-11-10 Stefanie Günther , N. Anders Petersson

A superconducting chip containing a regular array of flux qubits, tunable interqubit inductive couplers, an XY-addressable readout system, on-chip programmable magnetic memory, and a sparse network of analog control lines has been studied.…

Adiabatic limit is the presumption of the adiabatic geometric quantum computation and of the adiabatic quantum algorithm. But in reality, the variation speed of the Hamiltonian is finite. Here we develop a general formulation of adiabatic…

量子物理 · 物理学 2009-11-10 Yu Shi , Yong-Shi Wu

When an external parameter drives a system across a quantum phase transition at a finite rate, work is performed on the system and entropy is dissipated, due to the creation of excitations via the Kibble-Zurek mechanism. Although both the…

量子物理 · 物理学 2025-10-09 Zhanyu Ma , Andrew K. Mitchell , Eran Sela

Optimal control theory provides recipes to achieve quantum operations with high fidelity and speed, as required in quantum technologies such as quantum sensing and computation. While technical advances have achieved the ultrastrong driving…

量子物理 · 物理学 2015-11-25 M. Hirose , P. Cappellaro

We investigate coherent and incoherent tunneling phenomena in conditions of crossing diabatic potentials. We consider a model of two crossing parabolic diabatic potentials with an independent of coordinates constant adiabatic coupling. As a…

统计力学 · 物理学 2007-05-23 V. A. Benderskii , E. V. Vetoshkin , E. I. Kats

When parameters are varied periodically, charge can be pumped through a mesoscopic conductor without applied bias. Here, we consider the inverse effect in which a transport current drives a periodic variation of an adiabatic degree of…

介观与纳米尺度物理 · 物理学 2013-08-14 Raul Bustos-Marun , Gil Refael , Felix von Oppen

We consider a quantum Otto refrigerator cycle of a time-dependent harmonic oscillator. We investigate the coefficient of performance at maximum figure of merit for adiabatic and nonadiabatic frequency modulations. We obtain analytical…

量子物理 · 物理学 2017-08-01 Obinna Abah , Eric Lutz

Quantum-dot cellular automata (QCA) is a low-power, non-von-Neumann, general-purpose paradigm for classical computing using transistor-free logic. An elementary QCA device called a "cell" is made from a system of coupled quantum dots with a…

量子物理 · 物理学 2019-05-22 Enrique P. Blair

Recently, several approaches to solving linear systems on a quantum computer have been formulated in terms of the quantum adiabatic theorem for a continuously varying Hamiltonian. Such approaches enabled near-linear scaling in the condition…

量子物理 · 物理学 2021-11-17 Pedro C. S. Costa , Dong An , Yuval R. Sanders , Yuan Su , Ryan Babbush , Dominic W. Berry

Quantum Annealing (QA) relies on mixing two Hamiltonian terms, a simple driver and a complex problem Hamiltonian, in a linear combination. The time-dependent schedule for this mixing is often taken to be linear in time: improving on this…

量子物理 · 物理学 2024-09-17 Giovanni Pecci , Ruiyi Wang , Pietro Torta , Glen Bigan Mbeng , Giuseppe Santoro

Quantum dot Cellular Automata (QCA) is a novel and potentially attractive technology for implementing computing architectures at the nanoscale. The basic Boolean primitive in QCA is the majority gate. In this paper we present a novel design…

新兴技术 · 计算机科学 2016-11-15 Mostafa Rahimi Azghadi , O. Kavehie , K. Navi

We study adiabatic pumping through a two-level quantum dot with spin-orbit coupling. Using a diagrammatic real-time approach, we calculate both the pumped charge and spin for a periodic variation of the dot's energy levels in the limit of…

介观与纳米尺度物理 · 物理学 2013-02-11 Stephan Rojek , Jürgen König , Alexander Shnirman

Digital-analog quantum computing (DAQC) is a universal computational paradigm that combines the evolution under an entangling Hamiltonian with the application of single-qubit gates. Since any unitary operation can be decomposed into a…

量子物理 · 物理学 2025-12-15 Mikel Garcia-de-Andoin , Mikel Sanz