Remarks on Bounds for Quantum Codes
Alexei Ashikhmin
TL;DR
This paper explores how classical coding theory bounds can be applied to quantum codes, demonstrating their continued relevance in quantum error correction.
Contribution
It shows that many classical bounds remain valid in quantum coding theory, providing insights into quantum code limitations.
Findings
Classical bounds are applicable to quantum codes
Certain bounds remain valid in quantum settings
Results bridge classical and quantum coding theories
Abstract
We present some results that show that bounds from classical coding theory still work in many cases of quantum coding theory.
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Taxonomy
TopicsQuantum Computing Algorithms and Architecture · Computability, Logic, AI Algorithms · Coding theory and cryptography