Class of quantum error-correcting codes saturating the quantum Hamming bound
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چکیده
منابع مشابه
A Class of Quantum Error-Correcting Codes Saturating the Quantum Hamming Bound
I develop methods for analyzing quantum error-correcting codes, and use these methods to construct an infinite class of codes saturating the quantum Hamming bound. These codes encode k = n − j − 2 qubits in n = 2j qubits and correct t = 1 error. 89.80.+h, 03.65.-w Typeset using REVTEX [email protected] 1
متن کاملClass of quantum error-correcting codes saturating the quantum Hamming bound.
I develop methods for analyzing quantum error-correcting codes, and use these methods to construct an infinite class of codes saturating the quantum Hamming bound. These codes encode k = n − j − 2 qubits in n = 2j qubits and correct t = 1 error. 03.65.Bz,89.80.+h Typeset using REVTEX [email protected] 1
متن کاملQuantum Error Correcting Codes
This thesis deals with quantum error correcting codes. In first two chapters necessary introduction to quantum computation and classical error correction is presented. Previous results on construction of quantum error correcting codes are presented in the third and fourth chapter. Mainly Calderbank-Steane-Shor (CSS) codes and stabilizer codes are discussed together with the introduction to codi...
متن کاملQuantum Error-correcting Codes
These notes are a record of proceedings in the QMW Combinat-orics Study Group in November and December 1998. Since we are discrete mathematicians and know little quantum theory, the notes are not strong on the physics background (but we give references to several sources for this). We have tried to compare quantum with classical error correction where possible, and to provide enough information...
متن کاملQuantum Error-Correcting Codes
Markus GRASSL received his diploma degree in Computer Science in 1994 and his doctoral degree in 2001, both from the Fakultät für Informatik, Universität Karlsruhe (TH), Germany. From 1994 to 2007 he was a member of the Institut für Algorithmen und Kognitive Systeme, Fakultät für Informatik, Universität Karlsruhe (TH), Germany. From 2007 to 2008 he was with the Institute for Quantum Optics and ...
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ژورنال
عنوان ژورنال: Physical Review A
سال: 1996
ISSN: 1050-2947,1094-1622
DOI: 10.1103/physreva.54.1862