trureturingGitHub MATHEMATICAL ATLAS

QuantumBounds / CONCEPT

Unitary spectral blocks and the tensor bound

Unitary tensor sums satisfy the uniform scalar coefficient bound on the unit circle in the Euclidean operator norm, for all finite dimensions and all finite numbers of summands.

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DIRECT PREREQUISITES2
DIRECT CONSEQUENCES2
PROOF DEPTH3
DOCUMENT LINKS0
THEOREM

Unitary diagonalization

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Finite Cyclic Window RegisterFinite Cyclic Window RegisterBourin–Lee Conjecture 3.3Bourin–Lee Conjecture 3.3Unitary spectral blocks and the tensor boundUnitary spectral blocks and thetensor boundThe three-state root-fidelity Holevo boundThe three-state root-fidelityHolevo boundThe Perito Bell bound and its attaining strategyThe Perito Bell bound and itsattaining strategy
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Lean sourceResearch workspace
Status
Closed
Depth
3
Layer
D5/S3
Domain
QuantumBounds
Node ID
D5/S3/QuantumBounds/PeritoTensorBlockBound
Repository path
D5/S3/QuantumBounds/PeritoTensorBlockBound.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
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b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
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37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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