Article
Engineering, Electrical & Electronic
Diego Lentner, Emna Ben Yacoub, Stefano Calabro, Georg Bocherer, Nebojsa Stojanovic, Gerhard Kramer
Summary: This article studies concatenated forward error correction using an outer KP4 Reed-Solomon code with hard-decision decoding and inner single parity check (SPC) codes with Chase/Wagner soft-decision decoding. Analytical expressions are derived for the end-to-end frame and bit error rates for transmission over additive white Gaussian noise channels with binary phase-shift keying (BPSK) and quaternary amplitude shift keying (4-ASK), as well as with symbol interleavers and quantized channel outputs. The BPSK error rates are compared to those of two other inner codes: a two-dimensional product code with SPC component codes and an extended Hamming code. Simulation results for unit-memory inter-symbol interference channels and 4-ASK are also presented. The results show that the coding schemes achieve similar error rates, but SPC codes have the lowest complexity and permit flexible rate adaptation.
JOURNAL OF LIGHTWAVE TECHNOLOGY
(2023)
Article
Engineering, Electrical & Electronic
Pavel Skvortcov, Toshiaki Koike-Akino, David S. Millar, Keisuke Kojima, Kieran Parsons
Summary: In this article, a dual coding concatenation method is proposed to mitigate post-shaping burst errors in PAS architectures. The proposed method integrates a post-shaping FEC layer and a pre-shaping FEC layer, using a low-complexity architecture based on BCH codes for the pre-shaping FEC layer. The dual coding concatenation can relax the bit error rate requirement of post-shaping soft-decision FEC codes, resulting in improved performance.
JOURNAL OF LIGHTWAVE TECHNOLOGY
(2022)
Article
Computer Science, Information Systems
Jiaqiang Li, Pedro Reviriego, Liyi Xiao, Haotian Wu
Summary: As technology evolves, radiation-induced soft errors in memories become more complex, requiring new error correction codes development. Memory layout and data types have different impacts on error patterns, necessitating the design of custom error correction codes for specific needs.
IEEE TRANSACTIONS ON EMERGING TOPICS IN COMPUTING
(2021)
Article
Physics, Multidisciplinary
Svitlana Matsenko, Oleksiy Borysenko, Sandis Spolitis, Aleksejs Udalcovs, Lilita Gegere, Aleksandr Krotov, Oskars Ozolins, Vjaceslavs Bobrovs
Summary: Forward error correction codes and coded modulation are essential for efficient and reliable communication in optical networks. This study proposes the use of indivisible error detection codes based on a positional number system, and evaluates their performance using the average probability method. The results show that indivisible codes enable end-to-end control of information transmission and processing, while reducing hardware costs.
Article
Engineering, Electrical & Electronic
Minki Song, Jiho Kim, Dong-Joon Shin
Summary: A new blind reconstruction method for BCH and RS codes is proposed in this paper, which uses a single-error correction method to improve reconstruction performance and reduce dependency on channel conditions.
IEEE TRANSACTIONS ON SIGNAL PROCESSING
(2021)
Article
Computer Science, Information Systems
Zhenglin Chen, Yunping Zhao, Jianzhuang Lu, Bin Liang, Xiaowen Chen, Chen Li
Summary: This paper introduces a TECED design, a two-dimensional error correction code energy-efficient SRAM design, which achieves higher energy efficiency and lower hardware cost. Compared to traditional Hamming codes, TECED reduces 50% of the area overhead and 28.5% of power consumption for a specific storage capacity.
Article
Quantum Science & Technology
Serap Sahinkaya, Adrian Korban, Deniz Ustun
Summary: This paper focuses on the construction of maximal entanglement-assisted quantum error correction (EAQEC) codes. The authors obtained all possible construction matrices of linear codes over the skew group ring F-4 (sic)(phi) G, where G represents cyclic and dihedral groups with finite orders. They also employed the virus optimization (VO) algorithm to speed up the computational search time. The study resulted in several good maximal EAQEC codes over the finite field F-4, some of which were also maximum distance separable (MDS) codes. The authors also provided counterexamples to theorems proposed in previous studies and improved the lower bounds of existing maximal EAQEC codes.
QUANTUM INFORMATION PROCESSING
(2022)
Article
Biochemical Research Methods
Xiayang Li, Moxuan Chen, Huaming Wu
Summary: This paper proposes a novel coding schema called DNA-LC, which converts binary sequences into DNA base sequences that satisfy both the GC balance and run-length constraints. It can reduce and correct errors in DNA storage.
BRIEFINGS IN BIOINFORMATICS
(2023)
Article
Biochemical Research Methods
Xiayang Li, Moxuan Chen, Huaming Wu
Summary: DNA is an attractive medium for long-term digital data storage, but errors frequently occur during synthesis, amplification, and sequencing processes, which hinders its widespread use. This paper proposes a novel coding schema called DNA-LC to reduce and correct errors in DNA storage. The coding mode has a higher error correction capability and the decoding algorithm has been implemented in practice.
BRIEFINGS IN BIOINFORMATICS
(2022)
Article
Computer Science, Information Systems
Diogo Cruz, Francisco A. Monteiro, Bruno C. Coutinho
Summary: This paper investigates the construction and decoding methods for quantum error correction codes (QECCs) that can achieve the maximum performance in the finite blocklength regime. By extending the classical decoding strategy called GRAND to quantum systems, efficient decoding of QECCs is achieved. Furthermore, a quantum-GRAND algorithm is proposed that utilizes quantum noise statistics to enable adaptive code membership testing and efficient syndrome decoding.
Article
Optics
Pengcheng Liao, Barry C. Sanders, David L. Feder
Summary: Determining whether a given family of quantum states is topologically ordered is a significant problem in condensed matter physics and quantum information theory. Researchers have derived necessary and sufficient conditions for graph states to be in a specific class of quantum error-correction code states. They have applied these conditions to various graph families, including star and complete graphs, and discussed which ones are topologically ordered and how to construct the codewords. The researchers have also used this formalism to construct several codes with macroscopic distance, including a three-dimensional topological code with a large number of encoded logical qubits.
Article
Optics
Priya J. Nadkarni, Shayan Srinivasa Garani
Summary: The use of preshared entangled states in nonbinary entanglement-assisted stabilizer codes is essential for achieving better error correction capability in quantum communication channels. A novel design architecture of the syndrome computation unit for qudit stabilizer codes has been proposed using classical additive codes and gates. The proposed quantum error correction architectures are beneficial for developing high-density coded quantum memories for archival quantum storage.
Article
Engineering, Electrical & Electronic
He Liu, Pedro Reviriego, Costas Argyrides, Liyi Xiao
Summary: This paper presents Correction Masking (CM), a technique to implement SET tolerant syndrome decoders. The proposed technique has been evaluated in terms of protection effectiveness and circuit overhead, and the results show that it can provide effective protection while reducing circuit area and power compared to TMR.
IEEE TRANSACTIONS ON DEVICE AND MATERIALS RELIABILITY
(2022)
Article
Quantum Science & Technology
Arpit Dua, Tomas Jochym-O'Connor, Guanyu Zhu
Summary: In this study, the performance of fractal surface codes as fault-tolerant quantum memories is investigated. Decoding strategies for bit-flip and phase-flip errors in these codes are proven to exist. The sweep decoder, originally designed for regular 3D surface codes, is successfully adapted to the fractal surface codes by making suitable modifications on the boundaries. The minimum-weight-perfect-matching (MWPM) decoder is employed for phase-flip errors. The results show sustainable fault-tolerant threshold and code capacity threshold for specific fractal surface codes.
Article
Computer Science, Hardware & Architecture
David C. C. Freitas, David F. M. Mota, Cesar Marcon, Jarbas A. N. Silveira, Joao C. M. Mota
Summary: As CMOS manufacturing technology scales down, the radiation sensitivity of memory cells increases dramatically, making reliability a challenge. 3D technology is gaining attention for its advantages compared to 2D counterparts, but the effects on reliability using this technology have been overlooked. This study introduces a modified product code-based Error Correction Code (ECC) using Line Product Code (LPC) to enhance the reliability of 3D memories.
IEEE TRANSACTIONS ON COMPUTERS
(2021)
Article
Physics, Multidisciplinary
Patrick M. Birchall, Euan J. Allen, Thomas M. Stace, Jeremy L. O'Brien, Jonathan C. F. Matthews, Hugo Cable
PHYSICAL REVIEW LETTERS
(2020)
Article
Physics, Multidisciplinary
Jingliang Liu, Thomas Stace, Jian Dai, Kun Xu, Andre Luiten, Fred Baynes
Summary: The study presents the first observations and complete theoretical explanation of stimulated photorefractive scattering in a high-Q crystalline cavity. It shows that the standing-wave light field induces an ultranarrow and long-lived Bragg grating through the photorefractive effect, disrupting the usual periodicity of the mode spectrum as the mode splits into a doublet.
PHYSICAL REVIEW LETTERS
(2021)
Article
Physics, Multidisciplinary
Terry Farrelly, Robert J. Harris, Nathan A. McMahon, Thomas M. Stace
Summary: We introduce tensor-network stabilizer codes with a natural decoder, and generalize holographic codes with an example that corresponds to neither perfect nor block-perfect isometries. Using the tensor-network decoder, we find a threshold of 18.8% under depolarizing noise. The exact tensor-network decoder for holographic codes has polynomial complexity in the number of physical qubits, making it an efficient and exact decoder against Pauli noise.
PHYSICAL REVIEW LETTERS
(2021)
Article
Physics, Multidisciplinary
Terry Farrelly, David K. Tuckett, Thomas M. Stace
Summary: Tensor-network codes allow for the construction of large stabilizer codes by utilizing tensors that describe smaller stabilizer codes. This method simplifies topological codes and enables the calculation of distances between stabilizer codes.
NEW JOURNAL OF PHYSICS
(2022)
Article
Physics, Multidisciplinary
Rohit Navarathna, Dat Thanh Le, Andres Rosario Hamann, Hien Duy Nguyen, Thomas M. Stace, Arkady Fedorov
Summary: This study reports the first proof-of-principle realization of a passive on-chip circulator that is made from a superconducting loop interrupted by three notionally identical Josephson junctions and is tuned with only dc control fields. The experimental results show evidence for nonreciprocal scattering and excellent agreement with theoretical simulations. By reducing the junction asymmetry and utilizing the known methods of protection from quasiparticles, the Josephson-loop circulator is expected to become ubiquitous in superconducting circuits.
PHYSICAL REVIEW LETTERS
(2023)
Article
Optics
Terry Farrelly, Nicholas Milicevic, Robert J. Harris, Nathan A. McMahon, Thomas M. Stace
Summary: This paper focuses on tensor-network stabilizer codes and their decoder. It demonstrates the property that separate logical qubits can be decoded in parallel. The parallel decoder is found to be optimal when the error rate is below threshold. The authors apply this decoding strategy to the max-rate holographic Steane code and show that it has linear complexity in the number of logical qubits. The bulk threshold for the max-rate holographic Steane code under depolarizing noise is calculated to be 9.4%. Furthermore, the paper introduces other holographic error-correcting codes and determines their thresholds under depolarizing noise.
Article
Optics
Jonathan A. Gross, Ben Q. Baragiola, T. M. Stace, Joshua Combes
Summary: This paper introduces a general purpose input-output theory for narrowband squeezed light, which focuses on the statistical characteristics of the squeezed field and the shape of the wave packet. It illustrates the non-Markovian nature of the field by studying the decay and resonance fluorescence of two-level atoms in the presence of such fields.
Article
Physics, Multidisciplinary
Dat Thanh Le, Clemens Mueller, Rohit Navarathna, Arkady Fedorov, T. M. Stace
Summary: This study focuses on two operational issues of a superconducting circulator based on Josephson-junction rings, optimizing performance through numerical methods and discussing the impact of quasiparticle tunneling on signal circulation.
PHYSICAL REVIEW RESEARCH
(2021)
Article
Quantum Science & Technology
Pedro Figueroa-Romero, Kavan Modi, Robert J. Harris, Thomas M. Stace, Min-Hsiu Hsieh
Summary: Researchers have combined the RB protocol with a framework describing non-Markovian quantum phenomena to derive an analytical expression of the average sequence fidelity for non-Markovian RB with the Clifford group. This method allows for the identification of non-Markovian features of noise directly from the ASF and proposes a set of methods to collectively estimate deviations, non-Markovian memory time scales, and diagnose the (in)coherence of non-Markovian noise in a RB experiment. The efficacy of the proposal is demonstrated through several proof-of-principle examples, paving the way for a better understanding of correlated noise in quantum processors.
Article
Physics, Multidisciplinary
T. C. Bartolo, J. S. Smith, B. Muralidharan, C. Muller, T. M. Stace, J. H. Cole
PHYSICAL REVIEW RESEARCH
(2020)
Article
Physics, Multidisciplinary
Dat Thanh Le, Jared H. Cole, T. M. Stace
PHYSICAL REVIEW RESEARCH
(2020)
Article
Optics
Robert J. Harris, Elliot Coupe, Nathan A. McMahon, Gavin K. Brennen, Thomas M. Stace
Article
Materials Science, Multidisciplinary
Chien-Chang Chen, Thomas M. Stace, Hsi-Sheng Goan
Article
Physics, Multidisciplinary
C. L. Edmunds, C. Hempel, R. J. Harris, V Frey, T. M. Stace, M. J. Biercuk
PHYSICAL REVIEW RESEARCH
(2020)
Proceedings Paper
Optics
B. Haylock, M. A. Baker, T. M. Stace, M. Lobino
AOS AUSTRALIAN CONFERENCE ON OPTICAL FIBRE TECHNOLOGY (ACOFT) AND AUSTRALIAN CONFERENCE ON OPTICS, LASERS, AND SPECTROSCOPY (ACOLS) 2019
(2019)