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The brain can reproduce memories from partial data; this ability is critical for memory recall. The process of memory recall has been studied using auto-associative networks such as the Hopfield model. This kind of model reliably converges…

Neurons and Cognition · Quantitative Biology 2016-05-18 James P. Roach , Leonard M Sander , Michal R. Zochowski

Efficient quantum memories will be an essential building block of large scale networked quantum systems and provide a link between flying photonic qubits and atomic or quasi-atomic local quantum processors. To provide a path to scalability…

Recent generalizations of the Hopfield model of associative memories are able to store a number $P$ of random patterns that grows exponentially with the number $N$ of neurons, $P=\exp(\alpha N)$. Besides the huge storage capacity, another…

Disordered Systems and Neural Networks · Physics 2024-02-14 Carlo Lucibello , Marc Mézard

Transformers have become central to natural language processing and large language models, but their deployment at scale faces three major challenges. First, the attention mechanism requires massive matrix multiplications and frequent…

Hardware Architecture · Computer Science 2026-01-22 Xiaoxuan Yang , Peilin Chen , Tergel Molom-Ochir , Yiran Chen

Robust qubit memory is essential for quantum computing, both for near-term devices operating without error correction, and for the long-term goal of a fault-tolerant processor. We directly measure the memory error $\epsilon_m$ for a…

The realization of scalable quantum networks for distribution of entanglement over long distances hinges on quantum repeaters. To outperform the exponential transmission loss in optical fibers, quantum repeaters must employ multiplexing…

Quantum Physics · Physics 2025-12-22 Anuj Sethia , Nasser Gohari Kamel , Daniel Oblak

Achieving scalable, fault-tolerant quantum computation requires quantum memory architectures that minimize error correction overhead while preserving coherence. This work presents a framework for high-dimensional qudit memory in…

Quantum Physics · Physics 2025-03-06 William Boone Samuels

We analyze several high dimensional generalizations of the toric code at nonzero temperature. We find that in large enough dimension, there can be a distinct separation between the critical temperature $T_c$, given by thermodynamic…

Strongly Correlated Electrons · Physics 2014-02-26 Matthew B. Hastings , Grant H. Watson , Roger G. Melko

Criteria are given by which dissipative evolution can transfer populations and coherences between quantum subspaces, without a loss of coherence. This results in a form of quantum error correction that is implemented by the joint evolution…

Quantum Physics · Physics 2009-10-31 Jeff P Barnes , Warren S Warren

A new protocol of the optical quantum memory based on the resonant interactions of the multi atomic system with a cavity light mode is proposed. The quantum memory is realized using a controllable inversion of the inhomogeneous broadening…

Quantum Physics · Physics 2007-05-23 S. A. Moiseev

Human memory adapts through selective forgetting: experiences become less accessible over time but can be reactivated by reinforcement or contextual cues. In contrast, memory-augmented LLM agents rely on "always-on" retrieval and "flat"…

Computation and Language · Computer Science 2026-04-21 Ashish Rana , Chia-Chien Hung , Qumeng Sun , Julian Martin Kunkel , Carolin Lawrence

For scalable quantum communication and networks, a key step is to realize a quantum repeater node that can efficiently connect different segments of atom-photon entanglement using quantum memories. We report a compact and hardware-efficient…

Quantum Physics · Physics 2021-10-20 Chang Li , Sheng Zhang , Yukai Wu , Nan Jiang , Yunfei Pu , Luming Duan

The quantum repeater protocol is a promising approach to implement long-distance quantum communication and large-scale quantum networks. A key idea of the quantum repeater protocol is to use long-lived quantum memories to achieve efficient…

Quantum Physics · Physics 2022-01-31 Yunfei Pu , Sheng Zhang , Yukai Wu , Nan Jiang , Wei Chang , Chang Li , Luming Duan

We analyze the computational aspects of detecting topological order in a quantum many-body system. We contrast the widely used topological entanglement entropy with a recently introduced operational definition for topological order based on…

Quantum Physics · Physics 2025-05-09 Louis Fraatz , Amit Jamadagni , Hendrik Weimer

Quantum memories are essential elements in long-distance quantum networks and quantum computation. Significant advances have been achieved in demonstrating relative long-lived single-channel memory at single-photon level in cold atomic…

A local Hamiltonian with Topological Quantum Order (TQO) has a robust ground state degeneracy that makes it an excellent quantum memory candidate. This memory can be corrupted however if part of the state leaves the protected ground state…

Strongly Correlated Electrons · Physics 2021-09-14 Luuk Coopmans , Shane Dooley , Ian Jubb , Kevin Kavanagh , Graham Kells

We investigate a promising conformal field theory realization scheme for topological quantum computation based on the Fibonacci anyons, which are believed to be realized as quasiparticle excitations in the $\mathbb{Z}_3$ parafermion…

Quantum Physics · Physics 2024-04-04 Lachezar S. Georgiev , Ludmil Hadjiivanov , Grigori Matein

We compute the topological entropy of the toric code models in arbitrary dimension at finite temperature. We find that the critical temperatures for the existence of full quantum (classical) topological entropy correspond to the…

Quantum Physics · Physics 2012-11-27 Dalimil Mazac , Alioscia Hamma

Providing an optimal path to a quantum annealing algorithm is key to finding good approximate solutions to computationally hard optimization problems. Reinforcement is one of the strategies that can be used to circumvent the exponentially…

Disordered Systems and Neural Networks · Physics 2022-07-27 Abolfazl Ramezanpour

We study the effect of non-Markovianity in the charging process of an open-system quantum battery. We employ a collisional model framework, where the environment is described by a discrete set of ancillary systems and memory effects in the…

Quantum Physics · Physics 2023-05-15 Daniele Morrone , Matteo A. C. Rossi , Andrea Smirne , Marco G. Genoni
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