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Bounds for Pure Disjoint -Quantum Locally Recoverable Codes
Evagoras Stylianou, Holger Boche
We study pure disjoint -quantum locally recoverable codes (qLRCs) without assuming a stabilizer structure. We formulate local Knill--Laflamme conditions for recovery from up…
CSS Quantum LRCs with Intersecting Recovery Sets: Constructions and Bounds
Evagoras Stylianou, Vinayak Ramkumar, Holger Boche +1
In this work, we study quantum locally recoverable codes (qLRCs) with locality , recovery sets per qudit, and intersection parameter . We first show that, assum…
Implicit and Explicit Formulas of the Joint RDF for a Tuple of Multivariate Gaussian Sources with Individual Square-Error Distortions
Evagoras Stylianou, Charalambos D. Charalambous, Themistoklis Charalambous
This paper analyzes the joint Rate Distortion Function (RDF) of correlated multivariate Gaussian sources with individual square-error distortions. Leveraging Hotelling's canonical…
Minimal Trellises for non-Degenerate and Degenerate Decoding of Quantum Stabilizer Codes
Evagoras Stylianou, Vladimir Sidorenko, Christian Deppe +1
This paper presents a comprehensive guide to designing minimal trellises for both non-degenerate and degenerate decoding of quantum stabilizer codes. For non-degenerate decoding, v…
Equivalence of Insertion/Deletion Correcting Codes for -dimensional Arrays
Evagoras Stylianou, Lorenz Welter, Rawad Bitar +2
We consider the problem of correcting insertion and deletion errors in the -dimensional space. This problem is well understood for vectors (one-dimensional space) and was recent…
Characterization of the Gray-Wyner Rate Region for Multivariate Gaussian Sources: Optimality of Gaussian Auxiliary RV
Evagoras Stylianou, Charalambos D. Charalambous, Jan H. van Schuppen
Examined in this paper, is the Gray and Wyner achievable lossy rate region for a tuple of correlated multivariate Gaussian random variables (RVs) $X_1 : Ω\rightarrow {\mathbb R}^{p…
Indirect Rate Distortion Functions with Side Information: Structural Properties and Multivariate Gaussian Sources
Evagoras Stylianou, Michail Gkagkos, Charalambos D. Charalambous
In this paper, we analyze the indirect source coding problem with side information at both the encoder and decoder, as well as only at the decoder. We first derive structural prope…
Joint Nonanticipative Rate Distortion Function for a Tuple of Random Processes with Individual Fidelity Criteria
Charalambos D. Charalambous, Evagoras Stylianou
The joint nonanticipative rate distortion function (NRDF) for a tuple of random processes with individual fidelity criteria is considered. Structural properties of optimal test cha…
Joint Rate Distortion Function of a Tuple of Correlated Multivariate Gaussian Sources with Individual Fidelity Criteria
Evagoras Stylianou, Charalambos D. Charalambous, Themistoklis Charalambous
In this paper we analyze the joint rate distortion function (RDF), for a tuple of correlated sources taking values in abstract alphabet spaces (i.e., continuous) subject to two ind…