Science and Education Publishing American Journal of Applied Mathematics and Statistics 2328-7292 3 2 2015 04 15 Undetected Error Probability for Quantum Codes 76 79 EN Manish Gupta R.K. Narula Divya Taneja Yadavindra College of Engineering, Punjabi University Guru Kashi Campus, Talwandi Sabo, Punjab, India AJAMS2015326 10.12691/ajams-3-2-6 2015 04 02 2015 04 10 2015 04 15 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.