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Quantum / CONCEPT

Spectral Pairing Capacity Is Monotone under Majorization

Doubly stochastic mixing cannot increase spectral pairing capacity.

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DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH2
DOCUMENT LINKS1
THEOREM

Doubly stochastic mixing cannot increase spectral pairing capacity

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Weil: Von NeumannWeil: Von NeumannSpectral Pairing Capacity Is Monotone under MajorizationSpectral Pairing Capacity IsMonotone under MajorizationSpectral Sharpness as a Bounded-Pairing MaximumSpectral Sharpness as aBounded-Pairing Maximum
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Lean sourceResearch workspace
Status
Closed
Depth
2
Layer
D5/S3
Domain
Quantum
Node ID
D5/S3/Quantum/Sharpness/SpectralPairingCapacity
Repository path
D5/S3/Quantum/Sharpness/SpectralPairingCapacity.lean
Truth release
sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
Source commit
745bf90812f7175f83e1235688249f9495f23bfc
Source tree
143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

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