@inbook{080c3388f3904c828d9daed7a945182f,
title = "Quantum Cryptography, Quantum Communication, and Quantum Computing in a Noisy Environment",
abstract = "First, we study several information theories based on quantum computing in a desirable noiseless situation. (1) We present quantum key distribution based on Deutsch{\textquoteright}s algorithm using an entangled state. (2) We discuss the fact that the Bernstein-Vazirani algorithm can be used for quantum communication including an error correction. Finally, we discuss the main results. We study the Bernstein-Vazirani algorithm in a noisy environment. The original algorithm determines a noiseless function. Here we consider the case that the function has an environmental noise. We introduce a noise term into the function f(x). So we have another noisy function g(x). The relation between them is $$ g(x)=f(x)\pm O(\epsilon ). $$ Here $$O(\epsilon )\ll 1$$ is the noise term. The goal is to determine the noisy function g(x) with a success probability. The algorithm overcomes classical counterpart by a factor of N in a noisy environment.",
keywords = "03.67.Ac (Quantum algorithms, 03.67.Dd (Quantum cryptography), 03.67.Hk (Quantum communication), 03.67.Lx (Quantum computation architectures and implementations), and simulations), protocols",
author = "Koji Nagata and Tadao Nakamura and Ahmed Farouk",
note = "Publisher Copyright: {\textcopyright} 2018, Springer International Publishing AG.",
year = "2018",
doi = "10.1007/978-3-319-63639-9_8",
language = "English",
series = "Studies in Big Data",
publisher = "Springer Science and Business Media Deutschland GmbH",
pages = "185--205",
booktitle = "Studies in Big Data",
address = "Germany",
}