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Schmidt number certification via symmetric extensions.

Generalization of the symmetric extensions criterion, with bosonic symmetry and PPT constraint, to certify Schmidt number. May also be used to certify entanglemen by setting sn=1. Similar to this.

Uses the SCS solver and JuMP/ComplexOptInterface for modelling, Convex for the partial trace and partial transpose operations, and Combinatorics to generate the projection onto the symmetric subspace, so these should be installed.

Check Examples.jl for... examples.

Files

  • SchmidtNumber.jl -- Implements symmetric extensions SDP with bosonic symmetries and PPT criterion.
  • BosonicSymmetry.jl -- Functions to generate the projector onto/out from the symmetric subspace.
  • Utils.jl -- Partial trace and partial transposition operations (from QuantumInformation.jl)
  • Examples.jl -- Provides simple examples for isotropic and extendible states.

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Schmidt number certification via symmetric extensions.

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