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Controlling operational errors and decoherence is one of the major challenges facing the field of quantum computation and other attempts to create specified many-particle entangled states. The field of quantum error correction has developed…

Quantum Physics · Physics 2007-05-23 Daniel Gottesman

We present the first formally-verified Internet router, which is part of the SCION Internet architecture. SCION routers run a cryptographic protocol for secure packet forwarding in an adversarial environment. We verify both the protocol's…

Nowadays, deep learning models are increasingly required to be both interpretable and highly accurate. We present an approach that integrates Kolmogorov-Arnold Network (KAN) classification heads and Fuzzy Pooling into convolutional neural…

Computer Vision and Pattern Recognition · Computer Science 2024-07-24 Ayan Igali , Pakizar Shamoi

Access control systems are widely used means for the protection of computing systems. They are defined in terms of access control policies regulating the accesses to system resources. In this paper, we introduce a formally-defined,…

Software Engineering · Computer Science 2017-01-02 Andrea Margheri , Massimiliano Masi , Rosario Pugliese , Francesco Tiezzi

We extend a semantic verification framework for hybrid systems with the Isabelle/HOL proof assistant by an algebraic model for hybrid program stores, a shallow expression model for hybrid programs and their correctness specifications, and…

Logic in Computer Science · Computer Science 2021-06-14 Simon Foster , Jonathan Julián Huerta y Munive , Mario Gleirscher , Georg Struth

This paper is concerned with application of the classical Youla-Ku\v{c}era parameterization to finding a set of linear coherent quantum controllers that stabilize a linear quantum plant. The plant and controller are assumed to represent…

Quantum Physics · Physics 2015-03-10 Arash Kh. Sichani , Ian R. Petersen , Igor G. Vladimirov

Continuing the scaling of quantum computers hinges on building classical control hardware pipelines that are scalable, extensible, and provide real time response. The instruction set architecture (ISA) of the control processor provides…

We interpret the traversable wormhole in AdS/CFT in the context of quantum information theory. In particular, we investigate its properties as both a quantum channel and entanglement witness. We define protocols that allow either the…

High Energy Physics - Theory · Physics 2018-11-14 Ning Bao , Aidan Chatwin-Davies , Jason Pollack , Grant N. Remmen

Ensuring nominal asymptotic stability of the Nonlinear Model Predictive Control controller is not trivial. Stabilizing ingredients such as terminal penalty term and terminal region are crucial in establishing the asymptotic stability.…

Systems and Control · Electrical Eng. & Systems 2021-08-03 Chinmay Rajhans , Sowmya Gupta

A cryptographic protocol (CP) is a distributed algorithm designed to provide a secure communication in an insecure environment. CPs are used, for example, in electronic payments, electronic voting procedures, database access systems, etc.…

Cryptography and Security · Computer Science 2020-11-25 A. M. Mironov

The large number of Electronic Control Units (ECUs) mounted on modern cars and their expansive communication capabilities create a substantial attack surface for potential exploitation. Despite the evolution of automotive technology, the…

Cryptography and Security · Computer Science 2024-10-28 Alessandro Lotto , Francesco Marchiori , Alessandro Brighente , Mauro Conti

We describe a proof of the Central Limit Theorem that has been formally verified in the Isabelle proof assistant. Our formalization builds upon and extends Isabelle's libraries for analysis and measure-theoretic probability. The proof of…

Mathematical Software · Computer Science 2017-02-02 Jeremy Avigad , Johannes Hölzl , Luke Serafin

Formal verification of complex algorithms is challenging. Verifying their implementations goes beyond the state of the art of current automatic verification tools and usually involves intricate mathematical theorems. Certifying algorithms…

Logic in Computer Science · Computer Science 2013-02-01 Eyad Alkassar , Sascha Böhme , Kurt Mehlhorn , Christine Rizkallah

We present a formalization of convex polyhedra in the proof assistant Coq. The cornerstone of our work is a complete implementation of the simplex method, together with the proof of its correctness and termination. This allows us to define…

Logic in Computer Science · Computer Science 2018-08-14 Xavier Allamigeon , Ricardo D. Katz

This paper studies quantized control for discrete-time piecewise affine systems. For given stabilizing feedback controllers, we propose an encoding strategy for local stability. If the quantized state is near the boundaries of quantization…

Systems and Control · Computer Science 2015-09-07 Masashi Wakaiki , Yutaka Yamamoto

Entanglement, as studied in quantum information science, and non-local quantum correlations, as studied in condensed matter physics, are fundamentally akin to each other. However, their relationship is often hard to quantify due to the lack…

Quantum Physics · Physics 2010-10-19 Beni Yoshida , Isaac L. Chuang

Message Sequence Charts (MSCs) are an appealing visual formalism mainly used in the early stages of system design to capture the system requirements. However, if we move towards an implementation, an executable specifications related in…

Software Engineering · Computer Science 2010-09-28 Kamrul Hasan Talukder

This paper studies the optimization of observation channels (stochastic kernels) in partially observed stochastic control problems. In particular, existence and continuity properties are investigated mostly (but not exclusively)…

Optimization and Control · Mathematics 2012-02-09 Serdar Yüksel , Tamás Linder

The operation of instruments and detectors in laboratory or beamline environments presents a complex challenge, requiring stable operation of multiple concurrent devices, often controlled by separate hardware and software solutions. These…

Quantum error-correcting codes, such as subspace, subsystem, and Floquet codes, are typically constructed within the stabilizer formalism, which does not fully capture the idea of fault-tolerance needed for practical quantum computing…

Quantum Physics · Physics 2025-11-12 Peter-Jan H. S. Derks , Alex Townsend-Teague , Ansgar G. Burchards , Jens Eisert
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