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Geometry and dimensionality have played crucial roles in our understanding of the fundamental laws of nature, with examples ranging from curved space-time in general relativity to modern theories of quantum gravity. In quantum many-body…

量子物理 · 物理学 2025-04-10 Qiming Wu , Yue Shi , Jiehang Zhang

The rapid development of reliable Quantum Processing Units (QPU) opens up novel computational opportunities for machine learning. Here, we introduce a procedure for measuring the similarity between graph-structured data, based on the…

量子物理 · 物理学 2021-09-29 Louis-Paul Henry , Slimane Thabet , Constantin Dalyac , Loïc Henriet

In previous work we have proposed a construction of quantum-like bits that could endow a large synchronizing classical system, for example of oscillators, with quantum-like function that is not compromised by decoherence. In the present…

量子物理 · 物理学 2025-04-28 Graziano Amati , Gregory D. Scholes

We present extensive simulations of a quantum version of the Hopfield Neural Network to explore its emergent behavior. The system is a network of $N$ qubits oscillating at a given $\Omega$ frequency and which are coupled via Lindblad jump…

量子物理 · 物理学 2024-10-21 Joaquín J. Torres , Daniel Manzano

We introduce and analyze an open quantum generalization of the q-state Potts-Hopfield neural network, which is an associative memory model based on multi-level classical spins. The dynamics of this many-body system is formulated in terms of…

量子物理 · 物理学 2022-03-23 Eliana Fiorelli , Igor Lesanovsky , Markus Müller

An outstanding problem in quantum computing is the calculation of entanglement, for which no closed-form algorithm exists. Here we solve that problem, and demonstrate the utility of a quantum neural computer, by showing, in simulation, that…

量子物理 · 物理学 2007-05-23 E. C. Behrman , V. Chandrashekar , Z. Wang , C. K. Belur , J. E. Steck , S. R. Skinner

With near-term quantum devices available and the race for fault-tolerant quantum computers in full swing, researchers became interested in the question of what happens if we replace a supervised machine learning model with a quantum…

量子物理 · 物理学 2021-04-20 Maria Schuld

Quantum machine learning has the potential to enable advances in artificial intelligence, such as solving problems intractable on classical computers. Some fundamental ideas behind quantum machine learning are similar to kernel methods in…

量子物理 · 物理学 2023-08-15 Samuel Bosch , Bobak Kiani , Rui Yang , Adrian Lupascu , Seth Lloyd

Recent work has exposed the idea that interesting quantum-like probability laws, including interference effects, can be manifest in classical systems. Here we propose a model for quantum-like (QL) states and QL bits. We suggest a way that…

物理与社会 · 物理学 2025-07-02 Gregory D. Scholes

Recently, Tegmark pointed out that the superposition of ion states involved in the superposition of firing and resting states of a neuron quickly decohere. It undoubtedly indicates that neural networks cannot work as quantum computers, or…

量子物理 · 物理学 2007-05-23 Yukinari Kurita

People are witnessing quantum computing revolutions nowadays. Progress in the number of qubits, coherence times and gate fidelities are happening. Although quantum error correction era has not arrived, the research and development of…

量子物理 · 物理学 2023-10-17 Guanru Feng , Dawei Lu , Jun Li , Tao Xin , Bei Zeng

Memory effects are ubiquitous in nature and the class of memory circuit elements - which includes memristors, memcapacitors and meminductors - shows great potential to understand and simulate the associated fundamental physical processes.…

介观与纳米尺度物理 · 物理学 2012-07-04 Yuriy V. Pershin , Massimiliano Di Ventra

The past few years have seen a surge in the application of quantum theory methodologies and quantum-like modeling in fields such as cognition, psychology, and decision-making. Despite the success of this approach in explaining various…

物理与社会 · 物理学 2025-11-18 Andrei Khrennikov , Masanao Ozawa , Felix Benninger , Oded Shor

An analogous model system for quantum information processing is discussed, based on classical wave optics. The model system is applied to three examples that involve three qubits: ({\em i}) three-particle Greenberger-Horne-Zeilinger…

量子物理 · 物理学 2009-11-06 Robert J. C. Spreeuw

The neuronal paradigm of studying the brain has left us with limitations in both our understanding of how neurons process information to achieve biological intelligence and how such knowledge may be translated into artificial intelligence…

神经元与认知 · 定量生物学 2020-05-12 Leo Kozachkov , Konstantinos P. Michmizos

Quantum machine learning is a rapidly growing field at the intersection of quantum technology and artificial intelligence. This review provides a two-fold overview of several key approaches that can offer advancements in both the…

量子物理 · 物理学 2023-03-07 Alexey Melnikov , Mohammad Kordzanganeh , Alexander Alodjants , Ray-Kuang Lee

We present a contextualist statistical realistic model for quantum-like representations in physics, cognitive science and psychology. We apply this model to describe cognitive experiments to check quantum-like structures of mental…

量子物理 · 物理学 2010-12-07 Andrei Khrennikov

Algorithms for associative memory typically rely on a network of many connected units. The prototypical example is the Hopfield model, whose generalizations to the quantum realm are mainly based on open quantum Ising models. We propose a…

量子物理 · 物理学 2023-05-17 Adrià Labay-Mora , Roberta Zambrini , Gian Luca Giorgi

A bit-quantum map relates probabilistic information for Ising spins or classical bits to quantum spins or qubits. Quantum systems are subsystems of classical statistical systems. The Ising spins can represent macroscopic two-level…

量子物理 · 物理学 2019-10-23 C. Wetterich

The combination of machine learning and quantum computing has emerged as a promising approach for addressing previously untenable problems. Reservoir computing is an efficient learning paradigm that utilizes nonlinear dynamical systems for…

量子物理 · 物理学 2020-08-26 Jiayin Chen , Hendra I. Nurdin , Naoki Yamamoto