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In distributed storage systems, storage nodes intermittently go offline for numerous reasons. On coming back online, nodes need to update their contents to reflect any modifications to the data in the interim. In this paper, we consider a…

信息论 · 计算机科学 2016-11-15 Preetum Nakkiran , Nihar B. Shah , K. V. Rashmi

We study exact-regenerating codes for entanglement-assisted distributed storage systems. Consider an $(n,k,d,\alpha,\beta_{\mathsf{q}},B)$ distributed system that stores a file of $B$ classical symbols across $n$ nodes with each node…

信息论 · 计算机科学 2026-05-13 Lei Hu , Mohamed Nomeir , Alptug Aytekin , Sennur Ulukus

This work investigates the use of quantum resources in distributed storage systems. Consider an $(n,k,d)$ distributed storage system in which a file is stored across $n$ nodes such that any $k$ nodes suffice to reconstruct the file. When a…

信息论 · 计算机科学 2026-01-16 Lei Hu , Mohamed Nomeir , Alptug Aytekin , Sennur Ulukus

The optimal rate of reliable communication over a quantum channel can be enhanced by pre-shared entanglement. Whereas the enhancement may be unbounded in infinite-dimensional settings even when the input power is constrained, a…

We prove a one-shot "minimax" converse bound for quantum channel coding assisted by positive partial transpose channels between sender and receiver. The bound is similar in spirit to the converse by Polyanskiy, Poor, and Verdu [IEEE Trans.…

量子物理 · 物理学 2015-06-01 Joseph M. Renes

We introduce a construction for entanglement-assisted quantum error-correcting codes (EAQECCs) that saturates the classical Singleton bound with less shared entanglement than any known method for code rates below $ \frac{k}{n} = \frac{1}{3}…

量子物理 · 物理学 2024-10-15 Soham Ghosh , Evagoras Stylianou , Holger Boche

We derive upper bounds on the rate of transmission of classical information over quantum channels by block codes with a given blocklength and error probability, for both entanglement-assisted and unassisted codes, in terms of a unifying…

量子物理 · 物理学 2016-01-01 William Matthews , Stephanie Wehner

Quantum error correction assisted by entanglement helps to transmit the encoded qudits through quantum channels with some of them being noiseless. Here we consider a more realistic scheme for experiments what we called as partial-noisy…

量子物理 · 物理学 2012-09-03 Zhuo Wang , Sixia Yu , Heng Fan , C. H. Oh

Reliable distribution of quantum entanglement over long distances is a central challenge in quantum information science, fundamentally limited by decoherence in noisy communication channels. In this work, we investigate the asymptotic…

量子物理 · 物理学 2026-05-25 Piotr Masajada , Aby Philip , Alexander Streltsov

Fast quantum data transmission faces several shortcomings such as the indistinguishability of some partly overlapping signals, the channel noises, and so on. Based on the encoded quantum data transmission protocol, an unconventional scheme…

量子物理 · 物理学 2017-08-31 Weidong Tang , Sixia Yu

A quantum message is encoded into $N$ storage nodes (quantum systems $Q_1\dots Q_N$) with assistance from $N_B$ maximally entangled bi-partite quantum systems $A_1B_1, \dots, A_{N_B}B_{N_B}$, that are prepared in advance such that $B_1\dots…

信息论 · 计算机科学 2025-12-09 Hua Sun , Syed A. Jafar

Entanglement shared between the two ends of a quantum communication channel has been shown to be a useful resource in increasing both the quantum and classical capacities for these channels. The entanglement-assisted capacities were derived…

量子物理 · 物理学 2009-11-07 Garry Bowen

We show how to protect a stream of quantum information from decoherence induced by a noisy quantum communication channel. We exploit preshared entanglement and a convolutional coding structure to develop a theory of entanglement-assisted…

量子物理 · 物理学 2010-05-03 Mark M. Wilde , Todd A. Brun

Superdense coding proved that entanglement-assisted quantum communications can improve the data transmission rates compared to classical systems. It allows sending 2 classical bits between the parties in exchange of 1 quantum bit and a…

量子物理 · 物理学 2012-10-11 Sandor Imre

We show how entanglement shared between encoder and decoder can simplify the theory of quantum error correction. The entanglement-assisted quantum codes we describe do not require the dual-containing constraint necessary for standard…

量子物理 · 物理学 2007-05-23 Todd Brun , Igor Devetak , Min-Hsiu Hsieh

Known quantum error correction schemes are typically able to take advantage of only a limited class of classical error-correcting codes. Entanglement-assisted quantum error correction is a partial solution which made it possible to exploit…

量子物理 · 物理学 2013-04-24 Yuichiro Fujiwara

Brun, Devetak, and Hsieh [Science 314, 436 (2006)] demonstrated that pre-shared entanglement between sender and receiver enables quantum communication protocols that have better parameters than schemes without the assistance of…

量子物理 · 物理学 2021-03-03 Markus Grassl

We present a method for quantum entanglement distribution over a so-called code-division-multiple-access network, in which two pairs of users share the same quantum channel to transmit information. The main idea of this method is to use…

量子物理 · 物理学 2015-11-04 Chang-long Zhu , Nan Yang , Yu-xi Liu , Franco Nori , Jing Zhang

Oblivious Transfer, a fundamental problem in the field of secure multi-party computation is defined as follows: A database DB of N bits held by Bob is queried by a user Alice who is interested in the bit DB_b in such a way that (1) Alice…

量子物理 · 物理学 2015-06-11 M. V. Panduranga Rao , M. Jakobi

Shared entanglement is a resource available to parties communicating over a quantum channel, much akin to public coins in classical communication protocols. Whereas shared randomness does not help in the transmission of information, or…

量子物理 · 物理学 2018-03-22 Ashwin Nayak , Julia Salzman
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