trureturingGitHub MATHEMATICAL ATLAS

Quantum / CONCEPT

The minimum depth of open integrable circuits

For the open-boundary integrable quantum circuits of Garcia Fernandez, Paletta and Retore, the least depth over the configurations with kappa of the N sites carrying -kappa is floor(N/(kappa + 1)) + 1 whenever 1 <= kappa and 2 kappa <= N.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH1
DOCUMENT LINKS1
THEOREM

Minimum depth

RELATIONSHIP ATLAS

Every connection, in context.

Explore in 3D
Direct recorded relationships
The conjectured minimum depths of open integrable circuits are falseThe conjectured minimum depthsof open integrable circuits arefalseThe minimum depth of open integrable circuitsThe minimum depth of openintegrable circuits
Proof dependencyStructural affinityDocument link

Certified topology / UPSTREAM

Prerequisites

Certified topology / DOWNSTREAM

Consequences

None recorded in this release.

RELATED KNOWLEDGE

Structural connections

Documents & exposition

Other authored & advisory relationships

None recorded in this release.

LIBRARY / RELEASE VERSIONS

Content history

Loading release versions...
Browse the archive

Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S3
Domain
Quantum
Node ID
D5/S3/Quantum/Dynamics/OpenIntegrableCircuitMinDepth
Repository path
D5/S3/Quantum/Dynamics/OpenIntegrableCircuitMinDepth.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

Authority boundary

Dependency edges, status, and source coordinates come from the verified release and certified topology. Blueprint exposition is labeled separately. A fallback title carries no additional mathematical authority.