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Description of Quant um Coherence in Ther- modynamic Processes Requires Constraints Beyond Free Energy,

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quant-ph 1

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Coherence and Imaginarity as Resources in Quantum Circuit Complexity

quant-ph · 2026-04-07 · unverdicted · novelty 6.0

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.

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  • Coherence and Imaginarity as Resources in Quantum Circuit Complexity quant-ph · 2026-04-07 · unverdicted · none · ref 4

    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.