From Classical to Quantum Coding

An expert discussion of the potential evolution of quantum codes

In From Classical to Quantum Coding, a team of distinguished researchers deliver a seamless research monograph on the subject of quantum error correction codes (QECC) designed for mitigating the environment-induced decoherence imposed on quantum computing and communications. Commencing from first principles, Part I is dedicated to readers familiar with classical coding and wishing to move into quantum coding. Part II focuses on near-term quantum codes requiring a modest to moderate number of qubits. Finally, Part III of the book offers an outlook on the classical to quantum evolution of QECCs, to advanced codes that rely on numerous qubits as quantum technology matures.

The book incorporates several advanced topics, including the universal decoding of arbitrary linear codes, iterative short turbo block codes, turbo convolutional codes, and the family of low-density parity check codes. The powerful design tool of extrinsic information transfer charts plays a central role in the associated near-hashing-bound designs.

Readers will also find:

• An easy-reading introduction to quantum information processing and quantum coding
• An evolutionary portrayal of the classical to quantum coding paradigm
• Practical discussions of near-term quantum topological error correction codes and how they protect quantum gates from decoherence
• Detailed treatments of syndrome-based decoding of diverse quantum turbo codes and quantum low-density parity check codes

From Classical to Quantum Coding will benefit doctoral students, industrial and academic researchers wishing to expand their expertise from the classical to the quantum field of signal processing, computing and communications.