3 papers
quant-ph2002
A low-rate bound on the reliability of a quantum discrete memoryless channel
Alexander Barg
We extend a low-rate improvement of the random coding bound on the reliability of a classical discrete memoryless channel to its quantum counterpart. The key observation that we ma…
quant-ph1999
Quantum Error Detection II: Bounds
A. Ashikhmin, A. Barg, E. Knill +1
In Part II we show that there exist quantum codes whose probability of undetected error falls exponentially with the length of the code and derive bounds on this exponent.The lower…
quant-ph1999
Quantum Error Detection I: Statement of the Problem
Alexei Ashikhmin, Alexander Barg, Emanuel Knill +1
I. This paper is devoted to the problem of error detection with quantum codes. In the first part we examine possible problem settings for quantum error detection. Our goal is to de…