The theory of algebraic codes is a perfect illustration of the fact that the more mathematical structure one is able to add to a system, the better are the descriptions one obtains: Changing from codes to linear codes, it is no longer necessary to compute all distances between any two code...
Earlier study of such non-classical effects was largely in academic interest [2], but now their applications in quantum information theory such as communication [3], quantum teleportation [4], dense coding [5] and quantum cryptography [6] are well realized. It has been demonstrated that non-...
Although physicists had known about coherent superpositions since the dawn of quantum mechanics in 1920s, until matrix logic came along and explicitly revealed the fundamental role of superbits for a general theory of logic, no-one had the vision or insight to introduce the quantum bits into ...
Inf. Theory 44(1), 367–378 (1998) Article MathSciNet Google Scholar Chou, T., et al.: Classic McEliece: conservative code-based cryptography, 10 October 2020 (2020) Google Scholar Dumer, I.: On minimum distance decoding of linear codes. In: Proceedings of the 5th Joint Soviet-...
In this work, we present a method to construct classical hypercorrelation states, demonstrate their correlation properties from the Bell's measurement used in tests of quantum non-locality. Based on these classical hypercor- relation states, we study the analogy of quantum superdense coding in ...
Opening chapters present the basic concepts and various applications of Shannon's entropy, moving on to the core features of quantum information and quantum computing. Topics such as coding, compression, error-correction, cryptography and channel capacity are covered from classical and quantum viewpoints...
Finite fields are used in a variety of applications, including in classical coding theory in linear block codes such as BCH codes and Reed–Solomon error correction and in cryptography algorithms such as the Rijndael (AES) encryption algorithm. 有限域应用于各种领域,这其中包括在线性分组码之内的编...
AA Sherstov - Acm Symposium on Theory of Computing 被引量: 73发表: 2010年 Quantum Cryptography Based Solely on Bell's Theorem Here we introduce a new protocol which is efficient in terms of both classical and quantum communication, and that can tolerate noise in the quantum ... E Hänggi...
Furthermore, decoherence theory allows us to understand the evolution of correlations existing in a quantum system and could therefore help us to develop strategies to combat noise effects. Overcoming decoherence is a prerequisite for the very attractive idea of coding information in quantum systems. ...
During the last 20 years, the advance of communication technologies has generated multiple exciting applications. However, classical cryptography, commonly adopted to secure current communication systems, can be jeopardised by the advent of quantum compu