1 Summary of the review In this review I present the book " Post-Quantum Cryptography ". This volume gives a detailed, technical-level treatment of the post-quantum cryptography universe. 2 Summary of the book When (if?) quantum computers of a big enough size will be available, most of the current public-key cryptography primitives based on number theory will be vulnerable. The " next generatio...

Is the newly born quantum cryptography the ultimate solution for information security? A technique needs to be both theoretically strong and practically viable. But quantum cryptography comes to naught in the latter. We present here some of the quantum‟s theoretical weaknesses like lack of digital signatures (or any algorithm) along with its many real time implementation problems. We further pu...

The current data protection mechanism that typically comprises of cryptographic systems relies on the computational hardness as a means to protect sensitive data. With the recent advancements in quantum computing, quantum computers pose a serious challenge to such cryptographic systems. Interest in quantum cryptography has been stimulated by the fact that quantum algorithms like Shor’s algorith...

Learning with Errors is one of the fundamental problems in computational learning theory and has in the last years become the cornerstone of post-quantum cryptography. In this work, we study the quantum sample complexity of Learning with Errors and show that there exists an efficient quantum learning algorithm (with polynomial sample and time complexity) for the Learning with Errors problem whe...

Signal security aims to prevent the adversary from copying communication signals—so it is with quantum cryptography. Information security focuses on preventing the adversary from knowing plaintext or cheating users—so it is with classical cryptography. Communication reliability means that the intended receiver can recover the right communication signals sent by the sender. In this note, we stre...

Quantum cryptography is the art and science of exploiting quantum mechanical effects in order to perform cryptographic tasks. While the most well-known example of this discipline is quantum key distribution (QKD), there exist many other applications such as quantum money, randomness generation, secure twoand multi-party computation and delegated quantum computation. Quantum cryptography also st...

Cryptography is an interdisciplinary subject, drawing from several fields. Older forms of cryptography were chiefly concerned with patterns in language. More recently, the emphasis has shifted, and cryptography makes extensive use of mathematics, particularly discrete mathematics, including topics from number theory, information theory, computational complexity, statistics and combinatorics. Cr...