Alexei Ashikhmin - Academia.edu (original) (raw)
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Papers by Alexei Ashikhmin
Information Theory, IEEE Transactions on, May 1, 2000
This paper is devoted to the problem of error detection with quantum codes. We show that it is po... more This paper is devoted to the problem of error detection with quantum codes. We show that it is possible to give a consistent definition of the undetected error event. To prove this, we examine possible problem settings for quantum error detection. Our goal is to derive a functional that describes the probability of undetected error under natural physical assumptions concerning transmission with error detection with quantum codes. We discuss possible transmission protocols with stabilizer and unrestricted quantum codes. The set of ...
Information Theory, IEEE Transactions on, May 1, 2000
This paper is devoted to the problem of error detection with quantum codes. We show that it is po... more This paper is devoted to the problem of error detection with quantum codes. We show that it is possible to give a consistent definition of the undetected error event. To prove this, we examine possible problem settings for quantum error detection. Our goal is to derive a functional that describes the probability of undetected error under natural physical assumptions concerning transmission with error detection with quantum codes. We discuss possible transmission protocols with stabilizer and unrestricted quantum codes. The set of ...