The PTM logical states are the even and odd parity superposition states, so the paper's error correction and noise-resistance results reduce to standard parity-code facts.
Among mathematical constructs, the Prouhet-Thue-Morse (PTM) sequence stands out because of its surprisingly rich structure and multifaceted utility
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Elucidating the Physical and Mathematical Properties of the Prouhet-Thue-Morse Sequence in Quantum Computing
The PTM logical states are the even and odd parity superposition states, so the paper's error correction and noise-resistance results reduce to standard parity-code facts.