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.
Linear Combinations of Dirichlet Series Associated with the Thue-Morse Sequence
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abstract
In this paper we study sums of Dirichlet series whose coefficients are terms of the Thue-Morse sequence and variations thereof. We find closed-form expressions for such sums in terms of known constants and functions including the Riemann zeta function and the Dirichlet eta function using elementary methods.
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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.