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The rate-distortion dimension (RDD) of an analog stationary process is studied as a measure of complexity that captures the amount of information contained in the process. It is shown that the RDD of a process, defined as two times the…

信息论 · 计算机科学 2016-11-18 Farideh Ebrahim Rezagah , Shirin Jalali , Elza Erkip , H. Vincent Poor

We re-examine a non-Gaussian quantum error correction code designed to protect optical coherent-state qubits against errors due to an amplitude damping channel. We improve on a previous result [Phys. Rev. A 81, 062344 (2010)] by providing a…

量子物理 · 物理学 2014-05-14 Ricardo Wickert , Peter van Loock

A secrecy system with side information at the decoders is studied in the context of lossy source compression over a noiseless broadcast channel. The decoders have access to different side information sequences that are correlated with the…

信息论 · 计算机科学 2014-10-07 Eva C. Song , Paul Cuff , H. Vincent Poor

The additive rate-distortion function (ARDF) was developed in order to universally bound the rate loss in the Wyner-Ziv problem, and has since then been instrumental in e.g., bounding the rate loss in successive refinements, universal…

信息论 · 计算机科学 2011-05-26 Jan Ostergaard , Ram Zamir

In image compression, with recent advances in generative modeling, the existence of a trade-off between the rate and the perceptual quality has been brought to light, where the perception is measured by the closeness of the output…

信息论 · 计算机科学 2023-05-23 Yassine Hamdi , Deniz Gündüz

It is proven that Gaussian operations are of no use for protecting Gaussian states against Gaussian errors in quantum communication protocols. Specifically, we introduce a new quantity characterizing any single-mode Gaussian channel, called…

量子物理 · 物理学 2009-04-09 Julien Niset , Jaromir Fiurasek , Nicolas J. Cerf

Quantum correlations and entanglement are fundamental resources for quantum information and quantum communication processes. Developments in these fields normally assume these resources stable and not susceptible of distortion. That is not…

量子物理 · 物理学 2017-06-13 Francisco Delgado

Gaussian quantum information processing with continuous-variable (CV) quantum information carriers holds significant promise for applications in quantum communication and quantum internet. However, applying Gaussian state distillation and…

量子物理 · 物理学 2024-05-08 En-Jui Chang , Ching-Yi Lai

A Delta-Sigma modulator that is often utilized to convert analog signals into digital signals can be modeled as a static uniform quantizer with an error feedback filter. In this paper, we present a rate-distortion analysis of quantizers…

系统与控制 · 计算机科学 2017-10-11 Shuichi Ohno , Teruyuki Shiraki , M. Rizwan Tariq , Masaaki Nagahara

A causal rate distortion function with a general fidelity criterion is formulated on abstract alphabets and a coding theorem is derived. Existence of the minimizing kernel is shown using the topology of weak convergence of probability…

信息论 · 计算机科学 2012-02-07 Photios A. Stavrou , Charalambos D. Charalambous , Christos K. Kourtellaris

We consider the problem of causal source coding and causal decoding of a Gauss--Markov source, where the decoder has causal access to a side-information signal. We define the information causal rate-distortion function with causal decoder…

信息论 · 计算机科学 2020-08-13 Omri Lev , Anatoly Khina

Computing the rate-distortion function for continuous sources is commonly regarded as a standard continuous optimization problem. When numerically addressing this problem, a typical approach involves discretizing the source space and…

信息论 · 计算机科学 2024-05-02 Lingyi Chen , Shitong Wu , Wenyi Zhang , Huihui Wu , Hao Wu

Consider the two-way rate-distortion problem in which a helper sends a common limited-rate message to both users based on side information at its disposal. We characterize the region of achievable rates and distortions where a Markov form…

信息论 · 计算机科学 2009-04-06 Haim Permuter , Yossi Steinberg , Tsachy Weissman

The information spectrum approach gives general formulae for optimal rates of various information theoretic protocols, under minimal assumptions on the nature of the sources, channels and entanglement resources involved. This paper…

量子物理 · 物理学 2007-05-23 Garry Bowen , Nilanjana Datta

Recently, Tian et al. [1] considered joint source-channel coding of transmitting a Gaussian source over $K$-user Gaussian broadcast channel, and derived an outer bound on the admissible distortion region. In [1], they stated "due to its…

信息论 · 计算机科学 2016-11-17 Lei Yu , Houqiang Li , Weiping Li

We study a lossy source coding problem for an arbitrarily varying remote source (AVRS) which was proposed in a prior work. An AVRS transmits symbols, each generated in an independent and identically distributed manner, which are sought to…

信息论 · 计算机科学 2018-09-13 Amitalok J. Budkuley , Bikash Kumar Dey , Sidharth Jaggi , Vinod M. Prabhakaran

We consider the problem of estimating a signal corrupted by independent interference with the assistance of a cost-constrained helper who knows the interference causally or noncausally. When the interference is known causally, we…

信息论 · 计算机科学 2012-03-21 Yeow-Khiang Chia , Rajiv Soundararajan , Tsachy Weissman

We demonstrate that continuous-variable quantum error correction based on Gaussian ancilla states and Gaussian operations (for encoding, syndrome extraction, and recovery) can be very useful to suppress the effect of non-Gaussian error…

量子物理 · 物理学 2008-11-24 Peter van Loock

In Sequential Massive Random Access (SMRA), a set of correlated sources is jointly encoded and stored on a server, and clients want to access to only a subset of the sources. Since the number of simultaneous clients can be huge, the server…

信息论 · 计算机科学 2018-01-18 Elsa Dupraz , Thomas Maugey , Aline Roumy , Michel Kieffer

This paper investigates the joint source-channel coding problem of sending two correlated memoryless sources with common part over a memoryless multiple access channel (MAC). An inner bound and two outer bounds on the achievable distortion…

信息论 · 计算机科学 2016-12-13 Lei Yu , Houqiang Li , Chang Wen Chen