A new average coherence measure based on metric adjusted skew information is introduced for specific quantum measurements, shown equivalent to scaled versions under unitary groups and bases, with trade-offs, a solved conjecture, and entanglement criteria.
Petz, Monotone metrics on matrix spaces, Linear Algebra Appl
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Average metric adjusted skew information of coherence under conical 2-designs generalized equiangular measurements
A new average coherence measure based on metric adjusted skew information is introduced for specific quantum measurements, shown equivalent to scaled versions under unitary groups and bases, with trade-offs, a solved conjecture, and entanglement criteria.