The book then covers quantum error correction codes (QECCs) before introducing quantum networks.
#Stabilizer codes and quantum error correction code#
if the code can correct three errors then circuits may be designed such that a single failure results in at most three errors in the output (which is then correctable). The book then focuses on quantum information theory, quantum detection and Gaussian quantum information theories, and quantum key distribution (QKD). However, if the quantum code employed is able to correct multiple errors, then the definition of fault-tolerance can be relaxed, i.e. It continues with fundamental principles of quantum information processing, basic quantum gates, no-cloning and theorem on indistinguishability of arbitrary quantum states. It starts with basic concepts from classical detection theory, information theory, and channel coding fundamentals before continuing with basic principles of quantum mechanics including state vectors, operators, density operators, measurements, and dynamics of a quantum system. Entries will include a description of the code, its error-correcting properties, protected gates, rate, threshold, decoder, encoder, and other properties. An entry can be a single code or a family of codes. Quantum Communication, Quantum Networks, and Quantum Sensing represents a self-contained introduction to quantum communication, quantum error-correction, quantum networks, and quantum sensing. You will provide three entries into the EC Zoo - an online database of classical and quantum error-correcting codes. To refresh many of the key concepts of error correction, we start with the simplest classical error correcting code the repetition code. The book concludes with quantum sensing and quantum radars, quantum machine learning and fault-tolerant quantum error correction concepts. The book then focuses on quantum information theory, quantum detection and Gaussian quantum information theories, and quantum key distribution (QKD).
The field of quantum error correction has developed to meet this challenge. Controlling operational errors and decoherence is one of the major challenges facing the field of quantum computation and other attempts to create specified many-particle entangled states. Quantum Communication, Quantum Networks, and Quantum Sensing represents a self-contained introduction to quantum communication, quantum error-correction, quantum networks, and quantum sensing. Stabilizer codes and quantum error correction.