Lower bounds on quantum circuit cost are established via Tsallis relative α-entropy of cohering power and imaginaring power, with imaginarity yielding nontrivial constraints for gates like the T gate where coherence bounds vanish.
Colloquium: Quantum Coherence as a Re- source,
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Coherence and Imaginarity as Resources in Quantum Circuit Complexity
Lower bounds on quantum circuit cost are established via Tsallis relative α-entropy of cohering power and imaginaring power, with imaginarity yielding nontrivial constraints for gates like the T gate where coherence bounds vanish.