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Over decades traditional information theory of source and channel coding advances toward learning and effective extraction of information from data. We propose to go one step further and offer a theoretical foundation for learning classical…

Quantum Physics · Physics 2021-07-15 Mohsen Heidari , Arun Padakandla , Wojciech Szpankowski

A stochastic process's statistical complexity stands out as a fundamental property: the minimum information required to synchronize one process generator to another. How much information is required, though, when synchronizing over a…

Quantum Physics · Physics 2015-08-13 J. R. Mahoney , C. Aghamohammadi , J. P. Crutchfield

We propose and analyze a novel approach to quantum information processing, in which multiple qubits can be encoded and manipulated using electronic and nuclear degrees of freedom associated with individual alkaline-earth atoms trapped in an…

Cryptography is the study of techniques for ensuring the secrecy and authentication of the information. Public-key encryption schemes are secure only if the authenticity of the public-key is assured. Elliptic curve arithmetic can be used to…

Cryptography and Security · Computer Science 2012-02-10 D. Sravana Kumar , CH. Suneetha , A. Chandrasekhar

Quantum states of a few-particle system capacitively coupled to a metal gate can be discriminated by measuring the quantum capacitance, which can be identified with the second derivative of the system energy with respect to the gate…

Mesoscale and Nanoscale Physics · Physics 2023-04-12 Andrea Secchi , Filippo Troiani

By resorting to basic features of topological knot theory we propose a (classical) cryptographic protocol based on the `difficulty' of decomposing complex knots generated as connected sums of prime knots and their mutants. The scheme…

Mathematical Physics · Physics 2011-12-26 Annalisa Marzuoli , Giandomenico Palumbo

Adversarial attacks pose a major threat to machine learning and to the systems that rely on it. In the cybersecurity domain, adversarial cyber-attack examples capable of evading detection are especially concerning. Nonetheless, an example…

Cryptography and Security · Computer Science 2022-03-31 João Vitorino , Nuno Oliveira , Isabel Praça

In this note, we describe a simple approach to obtain a differentially private algorithm for k-clustering with nearly the same multiplicative factor as any non-private counterpart at the cost of a large polynomial additive error. The…

Data Structures and Algorithms · Computer Science 2020-09-29 Huy L. Nguyen

In this paper, we give theoretically and practically efficient implementations of Big Atomics, i.e., $k$-word linearizable registers that support the load, store, and compare-and-swap (CAS) operations. While modern hardware supports $k = 1$…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-01-14 Daniel Anderson , Guy E. Blelloch , Siddhartha Jayanti

Association rules mining (ARM) is one of the most important problems in knowledge discovery and data mining. Given a transaction database that has a large number of transactions and items, the task of ARM is to acquire consumption habits of…

Quantum Physics · Physics 2016-11-03 Chao-Hua Yu , Fei Gao , Qing-Le Wang , Qiao-Yan Wen

Channel polarization is a method of constructing capacity achieving codes for symmetric binary-input discrete memoryless channels (B-DMCs) [1]. In the original paper, the construction complexity is exponential in the blocklength. In this…

Information Theory · Computer Science 2009-05-23 Ryuhei Mori , Toshiyuki Tanaka

Quantum cryptography uses techniques and ideas from physics and computer science. The combination of these ideas makes the security proofs of quantum cryptography a complicated task. To prove that a quantum-cryptography protocol is secure,…

Quantum Physics · Physics 2015-05-13 Normand J. Beaudry

In a seminal work, Golab et al. showed that a randomized algorithm that works with atomic objects may lose some of its properties if we replace the atomic objects that it uses with linearizable objects. It was not known whether the…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-01 Vassos Hadzilacos , Xing Hu , Sam Toueg

The goal of two-party cryptography is to enable two parties, Alice and Bob, to solve common tasks without the need for mutual trust. Examples of such tasks are private access to a database, and secure identification. Quantum communication…

Quantum Physics · Physics 2016-05-10 Jędrzej Kaniewski , Stephanie Wehner

Generalizing earlier work characterizing the quantum query complexity of computing a function of an unknown classical ``black box'' function drawn from some set of such black box functions, we investigate a more general quantum query model…

Quantum Physics · Physics 2007-05-23 Howard N. Barnum

We consider streaming, one-pass principal component analysis (PCA), in the high-dimensional regime, with limited memory. Here, $p$-dimensional samples are presented sequentially, and the goal is to produce the $k$-dimensional subspace that…

Machine Learning · Statistics 2013-07-02 Ioannis Mitliagkas , Constantine Caramanis , Prateek Jain

We study the space complexity of the two related fields of differential privacy and adaptive data analysis. Specifically, (1) Under standard cryptographic assumptions, we show that there exists a problem P that requires exponentially more…

Cryptography and Security · Computer Science 2023-02-14 Itai Dinur , Uri Stemmer , David P. Woodruff , Samson Zhou

We demonstrate the realization of a quantum register using a string of single neutral atoms which are trapped in an optical dipole trap. The atoms are selectively and coherently manipulated in a magnetic field gradient using microwave…

Quantum Physics · Physics 2009-11-10 D. Schrader , I. Dotsenko , M. Khudaverdyan , Y. Miroshnychenko , A. Rauschenbeutel , D. Meschede

Resistive random-access memory (RRAM) is gaining popularity due to its ability to offer computing within the memory and its non-volatile nature. The unique properties of RRAM, such as binary switching, multi-state switching, and device…

Emerging Technologies · Computer Science 2024-07-08 Simranjeet Singh , Farhad Merchant , Sachin Patkar

Asymmetric Tensor PCA (ATPCA) is a prototypical model for studying the trade-offs between sample complexity, computation, and memory. Existing algorithms for this problem typically require at least…

Machine Learning · Computer Science 2026-04-14 Shihong Ding , Weicheng Lin , Cong Fang