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Concatenated coding provides a general strategy to achieve the desired level of noise protection in quantum information storage and transmission. We report the implementation of a concatenated quantum error-correcting code able to correct…

Quantum Physics · Physics 2009-11-10 Nicolas Boulant , Lorenza Viola , Evan M. Fortunato , David G. Cory

A computationally secure noised based cipher system is proposed. The advantage of this cipher system is that it operates above noise level. Therefore computationally secure communication can be done when error correction code fails. Another…

Quantum Physics · Physics 2007-05-23 Arindam Mitra

In this paper we describe a new error-correcting code (ECC) inspired by the Naccache-Stern cryptosystem. While by far less efficient than Turbo codes, the proposed ECC happens to be more efficient than some established ECCs for certain sets…

Information Theory · Computer Science 2015-09-02 Eric Brier , Jean-Sébastien Coron , Rémi Géraud , Diana Maimut , David Naccache

With the extraordinary maturity of data exchange in network environments and increasing the attackers capabilities, information security has become the most important process for data storage and communication. In order to provide such…

Cryptography and Security · Computer Science 2015-04-15 Omer K. Jasim Mohammad , Safia Abbas , El-Sayed M. El-Horbaty , Abdel-Badeeh M. Salem

Advanced Encryption Standard(AES) is one of the most widely used block ciphers nowadays, and has been established as an encryption standard in 2001. Here we design AES-128 and the sample-AES(S-AES) quantum circuits for deciphering. In the…

Quantum Physics · Physics 2022-06-16 ZeGuo Wang , ShiJie Wei , GuiLu Long

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

Quantum cryptography can provide a very high level of data security. However, a big challenge of this technique is errors in quantum channels. Therefore, error correction methods must be applied in real implementations. An example is error…

Cryptography and Security · Computer Science 2023-12-05 Marcin Niemiec , Tymoteusz Widlarz , Miralem Mehic

Quantum error correction (QEC) enables reliable computation on noisy hardware by encoding logical information across many physical qubits and periodically measuring parities to detect errors. A decoder is the classical algorithm that uses…

Programming Languages · Computer Science 2026-03-23 Abtin Molavi , Feras Saad , Aws Albarghouthi

This paper addresses the design of a dedicated homophonic coding for a class of communication systems which, in order to provide both reliability and security, first encode the data before encrypting it, which is referred to as the…

Cryptography and Security · Computer Science 2015-03-17 Miodrag J. Mihaljevic , Frederique Oggier , Hideki Imai

In many physical systems it is expected that environmental decoherence will exhibit an asymmetry between dephasing and relaxation that may result in qubits experiencing discrete phase errors more frequently than discrete bit errors. In the…

Quantum Physics · Physics 2009-11-13 A. M. Stephens , Z. W. E. Evans , S. J. Devitt , L. C. L. Hollenberg

In most error correction coding (ECC) frameworks, the typical error metric is the bit error rate (BER) which measures the number of bit errors. For this metric, the positions of the bits are not relevant to the decoding, and in many noise…

Signal Processing · Electrical Eng. & Systems 2021-10-11 Chai Wah Wu

We review the notion of a classical random cipher and its advantages. We sharpen the usual description of random ciphers to a particular mathematical characterization suggested by the salient feature responsible for their increased…

Quantum Physics · Physics 2009-11-13 Ranjith Nair , Horace P. Yuen , Eric Corndorf , Takami Eguchi , Prem Kumar

The sensor network is a network technique for the implementation of Ubiquitous computing environment. It is wireless network environment that consists of the many sensors of lightweight and low power. Though sensor network provides various…

Cryptography and Security · Computer Science 2009-11-26 Hyubgun Lee , Kyounghwa Lee , Yongtae Shin

In adversarial settings, where attackers can deliberately and strategically corrupt quantum data, standard quantum error correction reaches its limits. It can only correct up to half the code distance and must output a unique answer.…

Quantum Physics · Physics 2025-09-12 Rahul Arvind , Nikhil Bansal , Dax Enshan Koh , Tobias Haug , Kishor Bharti

Advanced Encryption Standard (AES) is a widely adopted cryptographic algorithm, yet its practical implementations remain susceptible to side-channel and fault injection attacks. In this work, we propose a comprehensive framework that…

Cryptography and Security · Computer Science 2025-07-08 Nishant Chinnasami , Rye Stahle-Smith , Rasha Karakchi

Error correction techniques remain effective to refine outputs from automatic speech recognition (ASR) models. Existing end-to-end error correction methods based on an encoder-decoder architecture process all tokens in the decoding phase,…

Computation and Language · Computer Science 2022-08-10 Jingyuan Yang , Rongjun Li , Wei Peng

Quantum error correcting code is a useful tool to combat noise in quantum computation. It is also an important ingredient in a number of unconditionally secure quantum key distribution schemes. Here, I am going to show that quantum code can…

Quantum Physics · Physics 2007-05-23 H. F. Chau

We work out a theory of approximate quantum error correction that allows us to derive a general lower bound for the entanglement fidelity of a quantum code. The lower bound is given in terms of Kraus operators of the quantum noise. This…

Quantum Physics · Physics 2009-11-13 Rochus Klesse

Reliability is an important requirement for both communication and storage systems. Due to continuous scale down of technology multiple adjacent bits error probability increases. The data may be corrupted due soft errors. Error correction…

Hardware Architecture · Computer Science 2020-02-19 Sayan Tripathi , Jhilam Jana , Jaydeb Bhaumik

Encoding in a high-dimensional Hilbert space improves noise resilience in quantum information processing. This approach, however, may result in cross-mode coupling and detection complexities, thereby reducing quantum cryptography…

Quantum Physics · Physics 2025-10-30 Amit Kam , Kfir Sulimany , Shai Tsesses , Uzi Pereg