3 problems
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Manifold-dimension conjecture for real minimal qubit permutation-invariant codes
Fix an error weight , set , and consider the family of real minimal qubit permutation-invariant quantum error-correcting codes with parameters . Real mi…
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Mirror and phase-flip symmetry conjecture for real minimal qubit PI codes
Let a minimal qubit permutation-invariant code have real codeword coefficients, written as and , with minimal block length for error weight . T…
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Minimal block-length conjecture for qubit permutation-invariant codes
Let a qubit permutation-invariant quantum error-correcting code correct errors of weight at most , and let denote the smallest block length among such codes. Th…