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We consider experimentally feasible chains of trapped ions with pseudo-spin 1/2, and find models that can potentially be used to implement error-resistant quantum computation. Similar in spirit to classical neural networks, the…

Quantum Physics · Physics 2009-10-20 Sibylle Braungardt , Aditi Sen De , Ujjwal Sen , Maciej Lewenstein

The noise model of deletions poses significant challenges in coding theory, with basic questions like the capacity of the binary deletion channel still being open. In this paper, we study the harder model of worst-case deletions, with a…

Information Theory · Computer Science 2014-11-26 Venkatesan Guruswami , Carol Wang

We study the storage of multiple phase-coded patterns as stable dynamical attractors in recurrent neural networks with sparse connectivity. To determine the synaptic strength of existent connections and store the phase-coded patterns, we…

Neurons and Cognition · Quantitative Biology 2015-05-28 Siliva Scarpetta , Ferdinando Giacco , Antonio de Candia

The color code is both an interesting example of an exactly solved topologically ordered phase of matter and also among the most promising candidate models to realize fault-tolerant quantum computation with minimal resource overhead. The…

Quantum Physics · Physics 2018-10-25 Markus S. Kesselring , Fernando Pastawski , Jens Eisert , Benjamin J. Brown

In the present paper, we analyze symmetric mixed states corresponding to the so-called concept formation on a sparsely encoded associative memory model with 0-1 neurons. Three types of mixed states, OR, AND and a majority decision mixed…

Disordered Systems and Neural Networks · Physics 2007-05-23 Tomoyuki Kimoto , Masato Okada

The exponential growth in data generation and large-scale data analysis creates an unprecedented need for inexpensive, low-latency, and high-density information storage. This need has motivated significant research into multi-level memory…

Low-depth random circuit codes possess many desirable properties for quantum error correction but have so far only been analyzed in the code capacity setting where it is assumed that encoding gates and syndrome measurements are noiseless.…

Quantum Physics · Physics 2023-12-01 Jon Nelson , Gregory Bentsen , Steven T. Flammia , Michael J. Gullans

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

This paper introduces a new family of reconstruction codes which is motivated by applications in DNA data storage and sequencing. In such applications, DNA strands are sequenced by reading some subset of their substrings. While previous…

Information Theory · Computer Science 2022-05-10 Yonatan Yehezkeally , Daniella Bar-Lev , Sagi Marcovich , Eitan Yaakobi

In this paper, we propose a mechanism for storing complex patterns within a neural network and subsequently recalling them. This model is based on our work published in 2018(Inazawa, 2018), which we have refined and extended in this work.…

Neural and Evolutionary Computing · Computer Science 2025-04-10 Hiroshi Inazawa

In this work, we study the performance of different decoding schemes for multilevel flash memories where each page in every block is encoded independently. We focus on the multi-level cell (MLC) flash memory, which is modeled as a two-user…

Information Theory · Computer Science 2016-05-04 Pengfei Huang , Paul H. Siegel , Eitan Yaakobi

Quantitative analysis of cell nuclei in microscopic images is an essential yet challenging source of biological and pathological information. The major challenge is accurate detection and segmentation of densely packed nuclei in images…

Quantitative Methods · Quantitative Biology 2019-11-14 Linqing Feng , Jun Ho Song , Jiwon Kim , Soomin Jeong , Jin Sung Park , Jinhyun Kim

Recently, a class of fractal surface codes (FSCs), has been constructed on fractal lattices with Hausdorff dimension $2+\epsilon$, which admits a fault-tolerant non-Clifford CCZ gate. We investigate the performance of such FSCs as…

Quantum Physics · Physics 2023-09-27 Arpit Dua , Tomas Jochym-O'Connor , Guanyu Zhu

This paper summarizes our work on experimentally analyzing, exploiting, and addressing vulnerabilities in multi-level cell NAND flash memory programming, which was published in the industrial session of HPCA 2017, and examines the work's…

Hardware Architecture · Computer Science 2018-05-10 Yu Cai , Saugata Ghose , Yixin Luo , Ken Mai , Onur Mutlu , Erich F. Haratsch

Partial dental point clouds often suffer from large missing regions caused by occlusion and limited scanning views, which bias encoder-only global features and force decoders to hallucinate structures. We propose a retrieval-augmented…

Computer Vision and Pattern Recognition · Computer Science 2025-12-04 Jianan Sun , Yukang Huang , Dongzhihan Wang , Mingyu Fan

We study a multi-access variant of the popular coded caching framework, which consists of a central server with a catalog of $N$ files, $K$ caches with limited memory $M$, and $K$ users such that each user has access to $L$ consecutive…

Information Theory · Computer Science 2020-03-13 Kota Srinivas Reddy , Nikhil Karamchandani

We propose a method of stacking multiple long short-term memory (LSTM) layers for modeling sentences. In contrast to the conventional stacked LSTMs where only hidden states are fed as input to the next layer, the suggested architecture…

Computation and Language · Computer Science 2019-11-04 Jihun Choi , Taeuk Kim , Sang-goo Lee

DNA-based data storage systems face practical challenges due to the high cost of DNA synthesis. A strategy to address the problem entails encoding data via topological modifications of the DNA sugar-phosphate backbone. The DNA Punchcards…

Emerging Technologies · Computer Science 2025-05-07 Jin Sima , Chao Pan , S. Kasra Tabatabaei , Alvaro G. Hernandez , Charles M. Schroeder , Olgica Milenkovic

We propose a numerical method for solving block-structured mesh partitioning problems based on the variational level-set method of (Zhao et al., J Comput Phys 127, 1996) which has been widely used in many partitioning problems such as image…

Computational Physics · Physics 2018-01-12 Shucheng Pan , Xiangyu Hu , Nikolaus. A. Adams

We study the amount of reliable information that can be stored in a DNA-based storage system with noisy sequencing, where each codeword is composed of short DNA molecules. We analyze a concatenated coding scheme, where the outer code is…

Information Theory · Computer Science 2026-05-19 Ran Tamir , Nir Weinberger , Albert Guillén i Fàbregas
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