eng Science and Education Publishing American Journal of Applied Mathematics and Statistics 2328-7292 2015-04-15 3 2 76 79 10.12691/ajams-3-2-6 AJAMS2015326 article Manish Gupta 1 R.K. Narula 2 Divya Taneja dtaneja25@yahoo.co.in 3 4 Baba Farid College of Engineering & Technology Bathinda, Punjab, India PIT, Mansa, Punjab, India Yadavindra College of Engineering, Punjabi University Guru Kashi Campus, Talwandi Sabo, Punjab, India From last fourteen years the work on undetected error probability for quantum codes has been silent. The undetected error probability has been discussed by Ashikhmin [3] in which it was proved that the average probability of undetected error for a given code is essentially given by a function of its weight enumerators. In this paper, new upper bounds on undetected error probability for quantum codes used for error detection on depolarization channel are given. It has also been established that the probability of undetected errors for quantum codes over depolarization channel do satisfy the upper bound analogous to classical codes. http://pubs.sciepub.com/ajams/3/2/6/ajams-3-2-6.pdf additive codes stabilizer pure and impure codes weight enumerator probability of undetected error