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In this work we analyze the emergence of phase transitions in a quantum brain model inspired by the Lipkin-Meshkov-Glick framework, where biologically motivated synaptic feedback modulates the collective interaction in a nonlinear and…

Neurons and Cognition · Quantitative Biology 2026-03-05 Elvira Romera , Joaquín J. Torres

Based on recent work on the asymptotic behavior of controlled quantum Markovian dynamics, we show that any generic quantum state can be stabilized by devising constructively a simple Lindblad-GKS generator that can achieve global asymptotic…

Quantum Physics · Physics 2010-12-21 Francesco Ticozzi , Sophie G. Schirmer , Xiaoting Wang

A synthetic artificial neuron network functional in a regime where quantum information processes are co-integrated with spiking computation provides significant improvement in the capabilities of neuromorphic systems in performing…

Quantum Physics · Physics 2025-07-23 Osama M. Nayfeh , Chris S. Horne

There is increasing interest in developing the theoretical foundations of networked control systems that illuminate how brain networks function so as to enable sensory perception, control of movement, memory and all the operations that are…

Systems and Control · Electrical Eng. & Systems 2025-06-03 Zexin Sun , John Baillieul

Leveraging recent advances in neuroscience and control theory, this paper presents a neuromimetic network model with dynamic symmetric connections governed by Hebbian learning rules. Formal analysis grounded in graph theory and classical…

Systems and Control · Electrical Eng. & Systems 2023-10-05 Zexin Sun , John Baillieul

In mathematical psychology, decision makers are modeled using the Lindbladian equations from quantum mechanics to capture important human-centric features such as order effects and violation of the sure thing principle. We consider…

Systems and Control · Electrical Eng. & Systems 2022-05-26 Luke Snow , Shashwat Jain , Vikram Krishnamurthy

In mathematical psychology, decision makers are modeled using the Lindbladian equations from quantum mechanics to capture important human-centric features such as order effects and violation of the sure thing principle. We consider…

Systems and Control · Electrical Eng. & Systems 2022-04-04 Luke Snow , Shashwat Jain , Vikram Krishnamurthy

The dynamics governed by a requantized collective Hamiltonian in the coupled Lipkin model is investigated in the time-dependent variational approach with squeezed state. It is pointed out that there is a possibility of the parametric…

Nuclear Theory · Physics 2007-05-23 Y. Tsue , J. da Providencia , A. Kuriyama , M. Yamamura

Cryogenic neuromorphic systems, inspired by the brains unparalleled efficiency, present a promising paradigm for next generation computing architectures.This work introduces a fully integrated neuromorphic framework that combines…

Emerging Technologies · Computer Science 2025-01-15 Md Mazharul Islam , Julia Steed , Karan Patel , Catherine Schuman , Ahmedullah Aziz

It is of high interest, in the context of Adiabatic Quantum Computation, to better understand the complex dynamics of a quantum system subject to a time-dependent Hamiltonian, when driven across a quantum phase transition. We present here…

Quantum Physics · Physics 2009-11-13 Paolo Solinas , Pedro Ribeiro , Rémy Mosseri

We consider finite-dimensional Markovian open quantum systems, and characterize the extent to which time-independent Hamiltonian control may allow to stabilize a target quantum state or subspace and optimize the resulting convergence speed.…

Quantum Physics · Physics 2015-03-17 Francesco Ticozzi , Riccardo Lucchese , Paola Cappellaro , Lorenza Viola

The inner operations of the human brain as a biological processing system remain largely a mystery. Inspired by the function of the human brain and based on the analysis of simple neural network systems in other species, such as Drosophila,…

Neural and Evolutionary Computing · Computer Science 2022-01-20 Zuo-Wei Yeh , Chia-Hua Hsu , Alexander White , Chen-Fu Yeh , Wen-Chieh Wu , Cheng-Te Wang , Chung-Chuan Lo , Kea-Tiong Tang

Biological studies reveal that neural circuits located at the spinal cord called central pattern generator (CPG) oscillates and generates rhythmic signals, which are the underlying mechanism responsible for rhythmic locomotion behaviors of…

Robotics · Computer Science 2023-05-15 Chuanyu Yang , Can Pu , Tianqi Wei , Cong Wang , Zhibin Li

In recent decades the field of quantum computation has seen remarkable development. While much progress has been made toward the realization of a fully digital, scalable, and fault tolerant quantum computer, there are still many essential…

Quantum Physics · Physics 2025-07-31 Ian Pannemarsh

We show that a quantum phase transition from ergodic to many-body localized (MBL) phases can be induced via periodic pulsed manipulation of spin systems. Such a transition is enabled by the interplay between weak disorder and slow heating…

Disordered Systems and Neural Networks · Physics 2018-03-28 Soonwon Choi , Dmitry A. Abanin , Mikhail D. Lukin

In this paper we propose a continuous-time, dissipative Markov dynamics that asymptotically drives a network of n-dimensional quantum systems to the set of states that are invariant under the action of the subsystem permutation group. The…

Quantum Physics · Physics 2026-03-09 Francesco Ticozzi , Luca Mazzarella , Alain Sarlette

Molecular Communication (MC) is a pivotal enabler for the Internet of Bio-Nano Things (IoBNT). However, current research often relies on super-capable individual agents with complex transceiver architectures that defy the energy and…

Adaptation and Self-Organizing Systems · Physics 2026-01-27 Boran A. Kilic , Ozgur B. Akan

In a digital quantum simulator, basic two-qubit interactions are manipulated by means of fast local control operations to establish a desired target Hamiltonian. Here we consider a quantum simulator based on logical systems, i.e. where…

Quantum Physics · Physics 2023-02-08 Ferran Riera-Sàbat , Pavel Sekatski , Wolfgang Dür

While spiking neural networks (SNNs) provide a biologically inspired and energy-efficient computational framework, their robustness and the dynamic advantages inherent to biological neurons remain significantly underutilized owing to…

Neural and Evolutionary Computing · Computer Science 2025-09-04 Qianyi Bai , Haiteng Wang , Qiang Yu

We explore a dynamic signature of quantum phase transition (QPT) in an isotropic Lipkin-Meshkov-Glick (LMG) model by studying the time evolution of a central qubit coupled to it. We evaluate exactly the time-dependent purity, which can be…

Quantum Physics · Physics 2007-09-24 H. T. Quan , Z. D. Wang , C. P. Sun
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