منابع مشابه
Good quantum error-correcting codes exist.
A quantum error-correcting code is defined to be a unitary mapping ~encoding! of k qubits ~two-state quantum systems! into a subspace of the quantum state space of n qubits such that if any t of the qubits undergo arbitrary decoherence, not necessarily independently, the resulting n qubits can be used to faithfully reconstruct the original quantum state of the k encoded qubits. Quantum error-co...
متن کاملSome good quantum error-correcting codes from algebraic-Geometric codes
It is shown that the quantum error-correction can be acheived by the using of classical binary codes or additive codes over F4 (see [1],[2],[3]). In this paper with the help of some algebraic techniques the theory of algebraic-geometric codes is used to construct asymptotically good family of quantum error-correcting codes and other classes of good quantum error-correcting codes. Our results ar...
متن کاملGood Quantum Error-correcting Codes Exist. Typeset Using Revt E X 1
A quantum error-correcting code is defined to be a unitary mapping (encoding) of k qubits (2-state quantum systems) into a subspace of the quantum state space of n qubits such that if any t of the qubits undergo arbitrary decoherence, not necessarily independently, the resulting n qubits can be used to faithfully reconstruct the original quantum state of the k encoded qubits. Quantum error-corr...
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...
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ژورنال
عنوان ژورنال: Physical Review A
سال: 1996
ISSN: 1050-2947,1094-1622
DOI: 10.1103/physreva.54.1098