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Computation codes in network information theory are designed for the scenarios where the decoder is not interested in recovering the information sources themselves, but only a function thereof. K\"orner and Marton showed for distributed…

Information Theory · Computer Science 2017-07-28 Jingge Zhu , Sung Hoon Lim , Michael Gastpar

We introduce hybrid classical-quantum algorithms for problems involving a large classical data set X and a space of models Y such that a quantum computer has superposition access to Y but not X. These algorithms use data reduction…

Quantum Physics · Physics 2020-04-07 Aram W. Harrow

In monolingual dense retrieval, lots of works focus on how to distill knowledge from cross-encoder re-ranker to dual-encoder retriever and these methods achieve better performance due to the effectiveness of cross-encoder re-ranker.…

Information Retrieval · Computer Science 2023-03-28 Houxing Ren , Linjun Shou , Ning Wu , Ming Gong , Daxin Jiang

In order to exploit quantum advantages, quantum algorithms are indispensable for operating machine learning with quantum computers. We here propose an intriguing hybrid approach of quantum information processing for quantum linear…

Quantum Physics · Physics 2019-01-23 Dan-Bo Zhang , Zheng-Yuan Xue , Shi-Liang Zhu , Z. D. Wang

We extend quantum rate distortion theory by considering auxiliary resources that might be available to a sender and receiver performing lossy quantum data compression. The first setting we consider is that of quantum rate distortion coding…

Quantum Physics · Physics 2013-12-09 Mark M. Wilde , Nilanjana Datta , Min-Hsiu Hsieh , Andreas Winter

We present docExtractor, a generic approach for extracting visual elements such as text lines or illustrations from historical documents without requiring any real data annotation. We demonstrate it provides high-quality performances as an…

Computer Vision and Pattern Recognition · Computer Science 2020-12-16 Tom Monnier , Mathieu Aubry

We formulate quantum rate-distortion theory in the most general setting where classical side information is included in the tradeoff. Using a natural distortion measure based on entanglement fidelity and specializing to the case of an…

Quantum Physics · Physics 2009-09-25 Igor Devetak , Toby Berger

Quantum error correction protects quantum information against environmental noise. When using qubits, a measure of quality of a code is the maximum number of errors that it is able to correct. We show that a suitable notion of ``number of…

Quantum Physics · Physics 2007-05-23 Emanuel Knill , Raymond Laflamme , Lorenza Viola

We consider the classical problem of discrete distribution estimation using i.i.d. samples in a novel scenario where additional side information is available on the distribution. In large alphabet datasets such as text corpora, such side…

Information Theory · Computer Science 2026-01-19 Haricharan Balasundaram , Andrew Thangaraj

We study the problem of extracting random bits from weak sources that are sampled by algorithms with limited memory. This model of small-space sources was introduced by Kamp, Rao, Vadhan and Zuckerman (STOC'06), and falls into a line of…

Computational Complexity · Computer Science 2021-08-25 Eshan Chattopadhyay , Jesse Goodman

We consider the Cascade and Triangular rate-distortion problems where the same side information is available at the source node and User 1, and the side information available at User 2 is a degraded version of the side information at the…

Information Theory · Computer Science 2010-10-20 Yeow Khiang Chia , Haim Permuter , Tsachy Weissman

In order to understand the source and extent of the greater-than-classical information processing power of quantum systems, one wants to characterize both classical and quantum mechanics as points in a broader space of possible theories.…

Quantum Physics · Physics 2009-08-18 Howard Barnum , Alexander Wilce

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

Currently, quantum reservoir computing is one of the most promising and experimentally accessible techniques for hybrid, quantum-classical machine learning. However, its applications are limited due to practical restrictions on the size of…

Quantum Physics · Physics 2022-05-11 Stephen Vintskevich , Dmitry Grigoriev

Quantum coherence is a fundamental resource that quantum technologies exploit to achieve performance beyond that of classical devices. A necessary prerequisite to achieve this advantage is the ability of measurement devices to detect…

Non-additivity is one of the distinctive traits of Quantum Information Theory: the combined use of quantum objects may be more advantageous than the sum of their individual uses. Non-additivity effects have been proven, for example, for…

Quantum Physics · Physics 2012-03-08 Giuseppe Prettico , Antonio Acin

Data compression is a ubiquitous aspect of modern information technology, and the advent of quantum information raises the question of what types of compression are feasible for quantum data, where it is especially relevant given the…

Quantum Physics · Physics 2014-12-17 Lee A. Rozema , Dylan H. Mahler , Alex Hayat , Peter S. Turner , Aephraim M. Steinberg

Amplitude amplification is a central tool used in Grover's quantum search algorithm and has been used in various forms in numerous quantum algorithms since then. It has been shown to completely eliminate one-sided error of quantum search…

Computational Complexity · Computer Science 2016-05-09 Debajyoti Bera

Source coding with a side information "vending machine" is a recently proposed framework in which the statistical relationship between the side information and the source, instead of being given and fixed as in the classical Wyner-Ziv…

Information Theory · Computer Science 2013-02-11 Behzad Ahmadi , Osvaldo Simeone

As quantum machine learning continues to develop at a rapid pace, the importance of ensuring the robustness and efficiency of quantum algorithms cannot be overstated. Our research presents an analysis of quantum randomized smoothing, how…

Quantum Physics · Physics 2024-07-26 Nicola Franco , Marie Kempkes , Jakob Spiegelberg , Jeanette Miriam Lorenz