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[WIP] Implicit derivatives for CTMRG #413

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[WIP] Implicit derivatives for CTMRG #413

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ce0fe93
Add implicit gradient for C4vCTMRG
leburgel Aug 6, 2026
3c5e81f
Remove unused partial contractions, add docstring
leburgel Aug 7, 2026
9740499
Add implicit differentiation of asymmetric CTMRG
leburgel Aug 7, 2026
4f30294
Fix typo
leburgel Aug 10, 2026
8ca3250
Resolve ambiguities
leburgel Aug 10, 2026
0d1cc8e
Fixes
leburgel Aug 10, 2026
758f633
`FixedPointGradient` works fine with `SequentialCTMRG` now, but `Impl…
leburgel Aug 10, 2026
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4 changes: 4 additions & 0 deletions src/Defaults.jl
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Expand Up @@ -85,6 +85,9 @@ Module containing default algorithm parameter values and arguments.
- `:GeomSum` : Geometric sum approximation of the Neumann series of the inverse Jacobian, see [`PEPSKit.GeomSum`](@ref) for details
- `:ManualIter` : Manual fixed-point iteration, see [`PEPSKit.ManualIter`](@ref) for details
* `gradient_fixedpoint_solver_eager=$(Defaults.gradient_fixedpoint_solver_eager)` : Enables `:Arnoldi` solver algorithm to finish before the full Krylov dimension is reached.
* `gradient_implicit_solver_alg=:$(Defaults.gradient_implicit_solver_alg)` : Default solver algorithm for the `ImplicitGradient` gradient algorithm.
- `:GMRES` : GMRES iterative linear solver, see [`KrylovKit.GMRES`](@extref) for details
- `:BiCGStab` : BiCGStab iterative linear solver, see [`KrylovKit.BiCGStab`](@extref) for details

## Optimization

Expand Down Expand Up @@ -151,6 +154,7 @@ const gradient_verbosity = -1
const gradient_alg = :FixedPointGradient
const gradient_fixedpoint_solver_alg = :Arnoldi # ∈ {:GMRES, :BiCGStab, :Arnoldi, :GeomSum, :ManualIter}
const gradient_fixedpoint_solver_eager = true
const gradient_implicit_solver_alg = :GMRES # ∈ {:GMRES, :BiCGStab}

# Optimization
const reuse_env = true
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5 changes: 3 additions & 2 deletions src/PEPSKit.jl
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Expand Up @@ -93,6 +93,7 @@ include("algorithms/contractions/ctmrg/renormalize_corner.jl")
include("algorithms/contractions/ctmrg/renormalize_edge.jl")
include("algorithms/contractions/ctmrg/contract_site.jl")
include("algorithms/contractions/ctmrg/gaugefix.jl")
include("algorithms/contractions/ctmrg/characteristic_equations.jl")

include("algorithms/contractions/absorb_weight.jl")
include("algorithms/contractions/transfer.jl")
Expand Down Expand Up @@ -140,7 +141,7 @@ include("algorithms/toolbox.jl")
include("algorithms/correlator_adapters.jl")
include("algorithms/correlators.jl")

include("algorithms/optimization/fixed_point_differentiation.jl")
include("algorithms/optimization/implicit_differentiation.jl")
include("algorithms/optimization/peps_optimization.jl")

include("algorithms/select_algorithm.jl")
Expand All @@ -161,7 +162,7 @@ export product_peps
export reduced_densitymatrix, expectation_value, network_value, cost_function
export correlator, correlation_length
export leading_boundary
export PEPSOptimize, FixedPointGradient, GeomSum, ManualIter
export PEPSOptimize, FixedPointGradient, GeomSum, ManualIter, ImplicitGradient
export fixedpoint

export LocalTruncation
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