Polar quantum channel coding with optical multi-qubit entangling gates for capacity-achieving channels
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 arbit...
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| Published in | Quantum information processing Vol. 12; no. 4; pp. 1659 - 1676 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Boston
Springer US
01.04.2013
Springer |
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| ISSN | 1570-0755 1573-1332 |
| DOI | 10.1007/s11128-012-0478-4 |
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| Abstract | 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. |
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| AbstractList | 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. |
| Author | Guo, Ying Lee, Moon Ho Zeng, Guihua |
| Author_xml | – sequence: 1 givenname: Ying surname: Guo fullname: Guo, Ying email: yingguo@csu.edu.cn organization: School of Information Science & Engineering, Central South University, State Key Laboratory of Advanced Optical Communication Systems and Networks, Department of Electronic Engineering, Shanghai Jiaotong University – sequence: 2 givenname: Moon Ho surname: Lee fullname: Lee, Moon Ho organization: Institute of Information and Communication, Chonbuk National University – sequence: 3 givenname: Guihua surname: Zeng fullname: Zeng, Guihua organization: State Key Laboratory of Advanced Optical Communication Systems and Networks, Department of Electronic Engineering, Shanghai Jiaotong University |
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| Cites_doi | 10.1109/TIT.2009.2021379 10.1103/PhysRevA.85.042309 10.1103/PhysRevA.79.050306 10.1007/s11128-009-0160-7 10.1109/TIT.2004.834737 10.1007/s11128-009-0113-1 10.1109/TCSI.2008.916620 10.1109/TIT.2008.917720 10.1088/1367-2630/14/3/033044 10.1103/PhysRevA.65.042312 10.1109/TIT.2004.839515 10.1103/PhysRevLett.106.110501 10.1103/PhysRevA.69.052319 10.1103/PhysRevA.78.016301 10.1103/PhysRevLett.78.405 10.1103/PhysRevLett.104.190501 10.1002/j.1538-7305.1948.tb01338.x 10.1103/PhysRevLett.97.180501 |
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| Keywords | 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 |
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| SubjectTerms | 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 |
| Title | Polar quantum channel coding with optical multi-qubit entangling gates for capacity-achieving channels |
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