trureturingGitHub MATHEMATICAL ATLAS

Quantum / CONCEPT

The conjectured minimum depths of open integrable circuits are false

Conjectures 1 and 2 of Garcia Fernandez, Paletta and Retore on the minimum depth of open-boundary integrable quantum circuits are false: with eight sites and two sites carrying -kappa the configuration (6, 3) runs in three layers, one fewer than conjectured, and with eleven sites the configuration (8, 4) runs in four, one fewer than conjectured.

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The conjectured minimum depths of open integrable circuits are falseThe conjectured minimum depthsof open integrable circuits arefalseAll gate orderings of an open-boundary transfer-matrix circuitAll gate orderings of an open-boundary transfer-matrixcircuitThe minimum depth of open integrable circuitsThe minimum depth of openintegrable circuits
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Lean sourceResearch workspace
Status
Closed
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0
Layer
D5/S3
Domain
Quantum
Node ID
D5/S3/Quantum/Dynamics/OpenIntegrableCircuitDepthRefutation
Repository path
D5/S3/Quantum/Dynamics/OpenIntegrableCircuitDepthRefutation.lean
Truth release
sha256:099187d7dec45101df1543521dfae400188aaa00645a3a61e95e49a3c2be8108
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535a6648df930c3bfdca8a945bfcebdb0d0e1ec7
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b898bd4223ba7e28b9490cfb432638d5338589a1

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