Research Cell: An International Journal of Engineering Sciences

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On The Undetected Error Probability for Quantum Hamming Codes Quantum Coding


Affiliations
1 Yadavindra College of Engineering, Talwandi Sabo, Punjab, India
2 Baba Farid College of Engineering and Technology, Bathinda, Punjab, India
3 PIT, Mansa, Punjab, India
 

We give a construction of quantum Hamming code using classical self orthogonal code over GF(4). The Undetected Error Probability, used for error detection on depolarization channel, of this code is calculated and it has been proved that this probability function is monotonic increasing function satisfying the upper bound 2-(n-k) which is analogous to the classical bound.

Keywords

Additive Codes, Quantum Hamming Codes, Undetected Error, Weight Enumerators, Undetected Error Probability.
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  • On The Undetected Error Probability for Quantum Hamming Codes Quantum Coding

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Authors

Divya Taneja
Yadavindra College of Engineering, Talwandi Sabo, Punjab, India
Manish Gupta
Baba Farid College of Engineering and Technology, Bathinda, Punjab, India
R. K. Narula
PIT, Mansa, Punjab, India

Abstract


We give a construction of quantum Hamming code using classical self orthogonal code over GF(4). The Undetected Error Probability, used for error detection on depolarization channel, of this code is calculated and it has been proved that this probability function is monotonic increasing function satisfying the upper bound 2-(n-k) which is analogous to the classical bound.

Keywords


Additive Codes, Quantum Hamming Codes, Undetected Error, Weight Enumerators, Undetected Error Probability.