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A new approach to quantum cryptography to be called KCQ, keyed communication in quantum noise, is developed on the basis of quantum detection and communication theory for classical information transmission. By the use of a shared secret key…

Quantum Physics · Physics 2007-05-23 Horace P. Yuen

In this paper, the context dependence multilevel pattern matching(in short CDMPM) grammar transform is proposed; based on this grammar transform, the universal lossless data compression algorithm, CDMPM code is then developed. Moreover we…

Discrete Mathematics · Computer Science 2013-03-21 Chung-Song Kim , Chol-Hun Kim

This paper investigates properties of noisy quantum information channels. We define a new quantity called {\em coherent information} which measures the amount of quantum information conveyed in the noisy channel. This quantity can never be…

Quantum Physics · Physics 2009-10-30 Benjamin Schumacher , M. A. Nielsen

Quantum communication in general helps deter potential eavesdropping in the course of transmission of bits to enable secure communication between two or more parties. In this paper, we propose a novel quasi-deterministic secure quantum…

Quantum Physics · Physics 2021-03-08 Sujan Vijayaraj , S. Balakrishnan , K. Senthilnathan

For the discrete memoryless sources with a countably infinite alphabet, we prove that for any positive integer $k$, there exists a corresponding probability interval such that if the largest symbol probability $p_{1}$ falls in this…

Information Theory · Computer Science 2026-04-21 Hongyang Liu , Wei Yan

The field of quantum communications promises the faithful distribution of quantum information, quantum entanglement, and absolutely secret keys, however, the highest rates of these tasks are fundamentally limited by the transmission…

Quantum Physics · Physics 2022-11-18 Matthew S. Winnel , Joshua J. Guanzon , Nedasadat Hosseinidehaj , Timothy C. Ralph

Quantum physics is known to allow for completely new ways to create, manipulate and store information. Quantum communication - the ability to transmit quantum information - is a primitive necessary for any quantum internet. At its core,…

Quantum Physics · Physics 2013-06-19 W. J. Munro , A. M. Stephens , S. J. Devitt , K. A. Harrison , Kae Nemoto

How can relevant information be extracted from a quantum process? In many situations, only some part of the total information content produced by an information source is useful. Can one then find an efficient encoding, in the sense of…

Quantum Physics · Physics 2016-07-27 Arne L. Grimsmo , Susanne Still

Quantum convolutional coding is a technique for encoding a stream of quantum information before transmitting it over a noisy quantum channel. Two important goals in the design of quantum convolutional encoders are to minimize the memory…

Quantum Physics · Physics 2013-01-21 Monireh Houshmand , Saied Hosseini-Khayat , Mark M. Wilde

We study the problem of efficient compression of a stochastic source of probability distributions. It can be viewed as a generalization of Shannon's source coding problem. It has relation to the theory of common randomness, as well as to…

Quantum Physics · Physics 2016-09-08 Andreas Winter

In this study we consider rateless coding over discrete memoryless channels (DMC) with feedback. Unlike traditional fixed-rate codes, in rateless codes each codeword is infinitely long, and the decoding time depends on the confidence level…

Information Theory · Computer Science 2012-01-30 Navot Blits

A system of interacting qubits can be viewed as a non-i.i.d quantum information source. A possible model of such a source is provided by a quantum spin system, in which spin-1/2 particles located at sites of a lattice interact with each…

Quantum Physics · Physics 2007-07-13 Nilanjana Datta , Yuri Suhov

The maximum rates for information transmission through noisy quantum channels has primarily been developed for memoryless channels, where the noise on each transmitted state is treated as independent. Many real world communication channels…

Quantum Physics · Physics 2009-11-10 Garry Bowen , Igor Devetak , Stefano Mancini

Over decades quantum cryptography has been intensively studied for unconditionally secured data transmission in a quantum regime. Due to the quantum loopholes caused by imperfect single photon detectors and/or lossy quantum channels,…

Quantum Physics · Physics 2019-10-08 Byoung S. Ham

In this paper, we consider a discrete time linear quadratic Gaussian (LQG) control problem in which state information of the plant is encoded in a variable-length binary codeword at every time step, and a control input is determined based…

Optimization and Control · Mathematics 2016-11-15 Takashi Tanaka , Karl Henrik Johansson , Tobias Oechtering , Henrik Sandberg , Mikael Skoglund

This paper presents new lower and upper bounds for the optimal compression of binary prefix codes in terms of the most probable input symbol, where compression efficiency is determined by the nonlinear codeword length objective of…

Information Theory · Computer Science 2008-09-09 Michael Baer

The rapid increase in networked systems and data transmission requires advanced data compression solutions to optimize bandwidth utilization and enhance network performance. This study introduces a novel byte-level predictive model using…

Networking and Internet Architecture · Computer Science 2025-03-26 Xuanhao Luo , Zhiyuan Peng , Zhouyu Li , Ruozhou Yu , Yuchen Liu

As they become more capable, large language models (LLMs) have continued to rapidly increase in size. This has exacerbated the difficulty in running state of the art LLMs on small, edge devices. Standard techniques advocate solving this…

For many kinds of prefix-free codes there are efficient and compact alternatives to the traditional tree-based representation. Since these put the codes into canonical form, however, they can only be used when we can choose the order in…

Data Structures and Algorithms · Computer Science 2021-04-02 Antonio Fariña , Travis Gagie , Szymon Grabowski , Giovanni Manzini , Gonzalo Navarro , Alberto Ordóñez

Likelihood-based generative models are the backbones of lossless compression due to the guaranteed existence of codes with lengths close to negative log likelihood. However, there is no guaranteed existence of computationally efficient…

Machine Learning · Computer Science 2020-01-07 Jonathan Ho , Evan Lohn , Pieter Abbeel