منابع مشابه
A Theory of Quantum Error-Correcting Codes
Quantum Error Correction will be necessary for preserving coherent states against noise and other unwanted interactions in quantum computation and communication. We develop a general theory of quantum error correction based on encoding states into larger Hilbert spaces subject to known interactions. We obtain necessary and sufficient conditions for the perfect recovery of an encoded state after...
متن کاملError Correcting Codes in Quantum Theory.
A new type of uncertainty relation is presented, concerning the information-bearing properties of a discrete quantum system. A natural link is then revealed between basic quantum theory and the linear error correcting codes of classical information theory. A subset of the known codes is described, having properties which are important for error correction in quantum communication. It is shown t...
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: 1997
ISSN: 1050-2947,1094-1622
DOI: 10.1103/physreva.55.900