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This study proposes a symbol-level precoding algorithm based on the minimum mean squared error design objective under a strict per antenna power constraint for PSK modulation. The proposed design is then formulated in the standard form of a…

Information Theory · Computer Science 2022-06-28 Erico S. P. Lopes , Lukas T. N. Landau

We revisit the error correction scheme of real-valued signals when the codeword is corrupted by gross errors on a fraction of entries and a small noise on all the entries. Combining the recent developments of approximate message passing and…

Information Theory · Computer Science 2014-02-04 Jean Barbier , Florent Krzakala , Lenka Zdeborová , Pan Zhang

In the field of interactive coding, two or more parties wish to carry out a distributed computation over a communication network that may be noisy. The ultimate goal is to develop efficient coding schemes that can tolerate a high level of…

Data Structures and Algorithms · Computer Science 2022-08-04 Ran Gelles , Yael T. Kalai , Govind Ramnarayan

We consider an approach to fault tolerant quantum computing based on a simple error detecting code operating as the substrate for a conventional surface code. We develop a customised decoder to process the information about the likely…

Quantum Physics · Physics 2019-12-11 Xiaosi Xu , Qi Zhao , Xiao Yuan , Simon C. Benjamin

We propose a multi-mode modulation scheme for Continuous Variable (CV) quantum communications, which we call quantum pattern encoding. In this setting, classical information can be encoded into multi-mode patterns of discretely-modulated…

Quantum Physics · Physics 2022-01-25 Cillian Harney , Stefano Pirandola

Error correction code is a major part of the communication physical layer, ensuring the reliable transfer of data over noisy channels. Recently, neural decoders were shown to outperform classical decoding techniques. However, the existing…

Machine Learning · Computer Science 2022-03-30 Yoni Choukroun , Lior Wolf

Constraints make hard optimization problems even harder to solve on quantum devices because they are implemented with large energy penalties and additional qubit overhead. The parity mapping, which has been introduced as an alternative to…

Quantum Physics · Physics 2023-03-20 Maike Drieb-Schön , Kilian Ender , Younes Javanmard , Wolfgang Lechner

The aim of this paper is to study the performance of some coding schemes recently proposed for updating the TC channel coding standard for space applications, in the presence of jamming. Besides low-density parity-check codes, that appear…

Information Theory · Computer Science 2013-10-03 Marco Baldi , Marco Bianchi , Franco Chiaraluce , Roberto Garello , Nicola Maturo , Ignacio Aguilar Sanchez , Stefano Cioni

We study the properties of error correcting codes for noise models in the presence of asymmetries and/or correlations by means of the entanglement fidelity and the code entropy. First, we consider a dephasing Markovian memory channel and…

Quantum Physics · Physics 2015-03-17 C. Cafaro , S. L'Innocente , C. Lupo , S. Mancini

Diatomic molecular codes [arXiv:1911.00099] are designed to encode quantum information in the orientation of a diatomic molecule, allowing error correction from small torques and changes in angular momentum. Here, we directly study noise…

Quantum Physics · Physics 2024-12-24 Shubham P. Jain , Eric R. Hudson , Wesley C. Campbell , Victor V. Albert

A coded modulation system is considered in which nonbinary coded symbols are mapped directly to nonbinary modulation signals. It is proved that if the modulator-channel combination satisfies a particular symmetry condition, the codeword…

Information Theory · Computer Science 2016-11-18 Mark F. Flanagan

Audio coding is an essential module in the real-time communication system. Neural audio codecs can compress audio samples with a low bitrate due to the strong modeling and generative capabilities of deep neural networks. To address the poor…

Sound · Computer Science 2023-10-18 Wenzhe Liu , Wei Xiao , Meng Wang , Shan Yang , Yupeng Shi , Yuyong Kang , Dan Su , Shidong Shang , Dong Yu

Network switches and routers need to serve packet writes and reads at rates that challenge the most advanced memory technologies. As a result, scaling the switching rates is commonly done by parallelizing the packet I/Os using multiple…

Networking and Internet Architecture · Computer Science 2016-05-17 Rami Cohen , Yuval Cassuto

A permutationally invariant n-bit code for quantum error correction can be realized as a subspace stabilized by the non-Abelian group S_n. The code corresponds to bases for the trivial representation, and all other irreducible…

Quantum Physics · Physics 2007-05-23 Harriet Pollatsek , Mary Beth Ruskai

Receiver diversity combining methods play a key role in combating the detrimental effects of fadingin wireless communication and other applications. A novel diversity combining method is proposedwhere a universal, i.e., channel independent,…

Information Theory · Computer Science 2018-05-01 Elad Domanovitz , Uri Erez

Concatenating quantum error correction codes scales error correction capability by driving logical error rates down double-exponentially across levels. However, the noise structure shifts under concatenation, making it hard to choose an…

Quantum Physics · Physics 2026-04-17 Nico Meyer , Christopher Mutschler , Dominik Seuß , Andreas Maier , Daniel D. Scherer

Spectral amplitude modulation for dual-polarization multi-soliton transmission is considered. We show, that spectral amplitudes become highly correlated during propagation along a noisy fiber link. Thus, joint equalization is generally…

Information Theory · Computer Science 2018-12-12 Alexander Span , Vahid Aref , Henning Buelow , Stephan ten Brink

We address the challenge of crosstalk in quantum multiplexing -an obstacle to scaling throughput in quantum communication networks. Crosstalk arises when physically coupled quantum modes interfere, degrading signal fidelity. We propose a…

Quantum Physics · Physics 2025-06-30 Seid Koudia , Symeon Chatzinotas

Quantum error correction is crucial for protecting quantum information against decoherence. Traditional codes like the surface code require substantial overhead, making them impractical for near-term, early fault-tolerant devices. We…

Quantum Physics · Physics 2026-04-13 Nico Meyer , Christopher Mutschler , Andreas Maier , Daniel D. Scherer

In this paper, we present a novel neural network for MIMO symbol detection. It is motivated by several important considerations in wireless communication systems; permutation equivariance and a variable number of users. The neural detector…

Signal Processing · Electrical Eng. & Systems 2021-01-26 Kumar Pratik , Bhaskar D. Rao , Max Welling