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We introduce and analyse an efficient decoder for the quantum Tanner codes of that can correct adversarial errors of linear weight. Previous decoders for quantum low-density parity-check codes could only handle adversarial errors of weight…

Quantum Physics · Physics 2022-10-26 Anthony Leverrier , Gilles Zémor

We present a unifying approach to quantum error correcting code design that encompasses additive (stabilizer) codes, as well as all known examples of nonadditive codes with good parameters. We use this framework to generate new codes with…

Quantum Physics · Physics 2009-02-19 Andrew Cross , Graeme Smith , John A. Smolin , Bei Zeng

Quantum LDPC codes are a promising direction for low overhead quantum computing. In this paper, we propose a generalization of the Union-Find decoder as adecoder for quantum LDPC codes. We prove that this decoder corrects all errors with…

Quantum Physics · Physics 2021-03-16 Nicolas Delfosse , Vivien Londe , Michael Beverland

Uncertainty Quantification (UQ) is essential for creating trustworthy machine learning models. Recent years have seen a steep rise in UQ methods that can flag suspicious examples, however, it is often unclear what exactly these methods…

Machine Learning · Computer Science 2023-10-31 Hao Sun , Boris van Breugel , Jonathan Crabbe , Nabeel Seedat , Mihaela van der Schaar

In this paper we consider the matching coefficient of the vector current between Quantum Chromodynamics (QCD) and Non-Relativistic QCD (NRQCD) to three-loop order in perturbation theory. We evaluate the fermionic corrections containing a…

High Energy Physics - Phenomenology · Physics 2008-11-26 P. Marquard , J. H. Piclum , D. Seidel , M. Steinhauser

Quantum low-density parity-check codes are promising candidates for low-overhead fault-tolerant quantum computing, but degeneracy is known to impair the convergence of belief-propagation (BP) decoding of these codes. In this work, we show…

Clinical trial amendments frequently introduce delays, increased costs, and administrative burden, with eligibility criteria being the most commonly amended component. We introduce \textit{eligibility criteria amendment prediction}, a novel…

Computation and Language · Computer Science 2026-01-13 Trisha Das , Mandis Beigi , Jacob Aptekar , Jimeng Sun

This paper introduces a novel research direction for model-to-text/code transformations by leveraging Large Language Models (LLMs) that can be enhanced with Retrieval-Augmented Generation (RAG) pipelines. The focus is on quantum and hybrid…

Software Engineering · Computer Science 2025-12-03 Nazanin Siavash , Armin Moin

The emergence of accurate open large language models (LLMs) has led to a race towards performant quantization techniques which can enable their execution on end-user devices. In this paper, we revisit the problem of "extreme" LLM…

Machine Learning · Computer Science 2024-09-12 Vage Egiazarian , Andrei Panferov , Denis Kuznedelev , Elias Frantar , Artem Babenko , Dan Alistarh

Quantum error correction is widely thought to be the key to fault-tolerant quantum computation. However, determining the most suited encoding for unknown error channels or specific laboratory setups is highly challenging. Here, we present a…

A recently developed three-dimensional version of the quasistatic code LCODE has a novel feature that enables high-accuracy simulations of the long-term evolution of waves in plasma wakefield accelerators. Equations of plasma particle…

Accelerator Physics · Physics 2024-01-23 I. Yu. Kargapolov , N. V. Okhotnikov , I. A. Shalimova , A. P. Sosedkin , K. V. Lotov

A program package, which facilitates computations in the framework of Analytic approach to QCD, is developed and described in details. The package includes the explicit expressions for relevant spectral functions calculated up to the…

High Energy Physics - Phenomenology · Physics 2014-11-20 A. V. Nesterenko , C. Simolo

In this paper, a construction of a pair of "regular" quasi-cyclic LDPC codes as ingredient codes for a quantum error-correcting code is proposed. That is, we find quantum regular LDPC codes with various weight distributions. Furthermore our…

Quantum Physics · Physics 2016-11-18 Manabu Hagiwara , Hideki Imai

Quantum low-density parity-check (QLDPC) codes have been proven to achieve higher minimum distances at higher code rates than surface codes. However, this family of codes imposes stringent latency requirements and poor performance under…

Information Theory · Computer Science 2024-06-26 Dimitris Chytas , Nithin Raveendran , Bane Vasić

Quantum low-density parity-check (QLDPC) codes are promising candidates for error correction in quantum computers. One of the major challenges in implementing QLDPC codes in quantum computers is the lack of a universal decoder. In this…

Quantum Physics · Physics 2025-02-18 Sisi Miao , Alexander Schnerring , Haizheng Li , Laurent Schmalen

We survey results in lattice quantum chromodynamics from groups in the USQCD Collaboration. The main focus is on physics, but many aspects of the discussion are aimed at an audience of computational physicists.

Computational Physics · Physics 2008-11-26 Andreas S. Kronfeld

Quantum error correction is an indispensable ingredient for scalable quantum computing. In this Perspective we discuss a particular class of quantum codes called low-density parity-check (LDPC) quantum codes. The codes we discuss are…

Quantum Physics · Physics 2021-10-26 Nikolas P. Breuckmann , Jens Niklas Eberhardt

A quantum error correcting code is a subspace $\mathcal{C}$ such that allowed errors acting on any state in $\mathcal{C}$ can be corrected. A quantum code for which state recovery is only required up to a logical rotation within…

Quantum Physics · Physics 2015-05-20 S. Omkar , R. Srikanth , Subhashish Banerjee

We study the robustness of 3D intrinsic topogical order under external perturbations by investigating the paradigmatic microscopic model, the 3D toric code in an external magnetic field. Exact dualities as well as variational calculations…

Strongly Correlated Electrons · Physics 2019-06-26 D. A. Reiss , K. P. Schmidt

Fault-tolerant quantum computation (FTQC) is expected to address a wide range of computational problems. To realize large-scale FTQC, it is essential to encode logical qubits using quantum error-correcting codes. High-rate concatenated…

Quantum Physics · Physics 2026-01-27 Takeshi Kakizaki