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Fault-tolerant quantum computation is a technique that is necessary to build a scalable quantum computer from noisy physical building blocks. Key for the implementation of fault-tolerant computations is the ability to perform a universal…

Quantum Physics · Physics 2013-10-14 Markus Grassl , Martin Roetteler

This chapter deals with the topic of designing reliable and efficient codes for the storage and retrieval of large quantities of data over storage devices that are prone to failure. For long, the traditional objective has been one of…

Information Theory · Computer Science 2020-10-06 Vinayak Ramkumar , Myna Vajha , S. B. Balaji , M. Nikhil Krishnan , Birenjith Sasidharan , P. Vijay Kumar

We present a description of encoding/decoding for a concatenated quantum code that enables both protection against quantum computational errors and the occurrence of one quantum erasure. For this, it is presented how encoding and decoding…

Information Theory · Computer Science 2010-06-02 G. O. Santos , F. M. Assis , A. F. Lima

The hallucination of code generation models hinders their applicability to systems requiring higher safety standards. One critical bottleneck in addressing code hallucination is the difficulty of identifying the functional correctness of…

Software Engineering · Computer Science 2025-10-27 Jaewoo Jeong , Taesoo Kim , Sangdon Park

Quantum Key Distribution (QKD) enables two parties to establish a common secret key that is information-theoretically secure by transmitting random bits that are encoded as qubits and sent over a quantum channel, followed by classical…

In this work, we introduce convolutional codes for network-error correction in the context of coherent network coding. We give a construction of convolutional codes that correct a given set of error patterns, as long as consecutive errors…

Information Theory · Computer Science 2009-08-06 K. Prasad , B. Sundar Rajan

Graphs are closely related to quantum error-correcting codes: every stabilizer code is locally equivalent to a graph code, and every codeword stabilized code can be described by a graph and a classical code. For the construction of good…

Quantum Physics · Physics 2011-03-31 Salman Beigi , Isaac Chuang , Markus Grassl , Peter Shor , Bei Zeng

A Physically Unclonable Function (PUF) is a hardware security primitive used for authentication and key generation. It takes an input bit-vector challenge and produces a single-bit response, resulting in a challenge-response pair (CRP). The…

Cryptography and Security · Computer Science 2024-07-01 Vincent Dumoulin , Wenjing Rao , Natasha Devroye

We study the use of polar codes for both discrete and continuous variables Quantum Key Distribution (QKD). Although very large blocks must be used to obtain the efficiency required by quantum key distribution, and especially continuous…

Quantum Physics · Physics 2013-07-30 Paul Jouguet , Sébastien Kunz-Jacques

In this letter, a physical unclonable function (PUF)-advanced encryption standard (AES)-PUF is proposed as a new PUF architecture by embedding an AES cryptographic circuit between two conventional PUF circuits to conceal their…

Cryptography and Security · Computer Science 2018-10-18 Weize Yu , Jia Chen

The code that combines channel estimation and error protection has received general attention recently, and has been considered a promising methodology to compensate multi-path fading effect. It has been shown by simulations that such code…

Information Theory · Computer Science 2007-12-18 Chia-Lung Wu , Po-Ning Chen , Yunghsiang S. Han , Ming-Hsin Kuo

Physical Unclonable Functions (PUFs) have emerged as a promising solution to identify and authenticate Integrated Circuits (ICs). In this paper, we propose a novel NAND-based Set-Reset (SR) Flip-flop (FF) PUF design for security enclosures…

Cryptography and Security · Computer Science 2019-09-17 Rohith Prasad Challa , Sheikh Ariful Islam , Srinivas Katkoori

With the recent advancement of Large Language Models (LLMs), generating functionally correct code has become less complicated for a wide array of developers. While using LLMs has sped up the functional development process, it poses a heavy…

Cryptography and Security · Computer Science 2024-02-01 Nafis Tanveer Islam , Mohammad Bahrami Karkevandi , Peyman Najafirad

Physical Obfuscated Keys (POKs) allow tamper-resistant storage of random keys based on physical disorder. The output bits of current POK designs need to be first corrected due to measurement noise and next de-correlated since the original…

Topological quantum field theories (TQFT) encode quantum correlations in topological features of spaces. In this work, we leverage this feature to explore how information encoded in TQFTs can be stored and retrieved in the presence of local…

Quantum Physics · Physics 2024-10-10 Rafael Chaves , Dmitry Melnikov , Marcos Neves , Luigy Pinto , Davide Poderini

We present the Foundational Cryptography Framework (FCF) for developing and checking complete proofs of security for cryptographic schemes within a proof assistant. This is a general-purpose framework that is capable of modeling and…

Programming Languages · Computer Science 2014-10-15 Adam Petcher , Greg Morrisett

Quantum information is well-known to achieve cryptographic feats that are unattainable using classical information alone. Here, we add to this repertoire by introducing a new cryptographic functionality called uncloneable encryption. This…

Quantum Physics · Physics 2021-06-25 Anne Broadbent , Sébastien Lord

Unpredictable functions (UPFs) play essential roles in classical cryptography, including message authentication codes (MACs) and digital signatures. In this paper, we introduce a quantum analog of UPFs, which we call unpredictable state…

Quantum Physics · Physics 2025-03-27 Tomoyuki Morimae , Shogo Yamada , Takashi Yamakawa

This paper deals with a universal coding problem for a certain kind of multiterminal source coding network called a generalized complementary delivery network. In this network, messages from multiple correlated sources are jointly encoded,…

Information Theory · Computer Science 2009-04-02 Akisato Kimura , Tomohiko Uyematsu , Shigeaki Kuzuoka , Shun Watanabe

Efficient and accurate decoding of quantum error-correcting codes is essential for fault-tolerant quantum computation, however, it is challenging due to the degeneracy of errors, the complex code topology, and the large space for logical…

Quantum Physics · Physics 2025-03-28 Hanyan Cao , Feng Pan , Dongyang Feng , Yijia Wang , Pan Zhang
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