Polar quantum channel coding with optical multi-qubit entangling gates for capacity-achieving channels

• Published in: Quantum information processing Vol. 12; no. 4; pp. 1659 - 1676
• Main Authors: Guo, Ying, Lee, Moon Ho, Zeng, Guihua
• Format: Journal Article
• Language: English
• Published: Boston Springer US 01.04.2013; Springer
• Subjects: Applied sciences; Classical and quantum physics: mechanics and fields; Computer science; control theory; systems; Computer systems and distributed systems. User interface; Cryptography; Data Structures and Information Theory; Exact sciences and technology; Information, signal and communications theory; Mathematical Physics; Physics; Physics and Astronomy; Quantum communication; Quantum computation; Quantum Computing; Quantum information; Quantum Information Technology; Quantum Physics; Signal and communications theory; Software; Spintronics; Telecommunications and information theory; Quantum error-correction code; Bell-state measurements; Quantum information; Quantum teleportation; Polar quantum channel codes; Binary channel; Probabilistic approach; Error correcting codes; Quantum computing; Quantum channel; Quantic entanglement; Bell states; Quantum communication
• ISSN: 1570-0755; 1573-1332
• DOI: 10.1007/s11128-012-0478-4

We demonstrate a fashion of quantum channel combining and splitting, called polar quantum channel coding, to generate a quantum bit (qubit) sequence that achieves the symmetric capacity for any given binary input discrete quantum channels. The present capacity is achievable subject to input of arbitrary qubits with equal probability. The polarizing quantum channels can be well-conditioned for quantum error-correction coding, which transmits partially quantum data through some channels at rate one with the symmetric capacity near one but at rate zero through others.