MathDB3 problems
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The conjecture on noise guessing decoding for versatile high-rate quantum codes
The noise guessing decoding procedure is considered for quantum codes with code rate close to one, under noise statistics that are not approximately fixed and in applications requi…
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The entanglement-free quantum polar code conjecture
Quantum polar codes are constructed from high-entropy sets. Entanglement-free quantum polar code conjecture. The quantum polar codes introduced by Renes and Wilde should not requir…
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Convergence conjecture for polynomial symplectic Gram–Schmidt orthogonalization
A quantum convolutional code is represented by a polynomial check matrix, and the procedure iteratively expands this check matrix by adding generators when the shifted symplectic G…