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Differentiate through phases of the CTMRG environment #477

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Merged
leburgel merged 2 commits into from
Oct 28, 2026
Merged

Differentiate through phases of the CTMRG environment #477

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d40d610
Fix eigenvalue selection in Arnoldi fixed-point gradient solver
Yue-Zhengyuan Oct 27, 2026
8dfd0ca
Differentiate the global phases in the gauge-fixed CTMRG iteration an…
leburgel Oct 28, 2026
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9 changes: 5 additions & 4 deletions src/algorithms/optimization/implicit_differentiation.jl
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Original file line number Diff line number Diff line change
Expand Up @@ -227,11 +227,12 @@ function _rrule(
alg_fixed = _set_fixed_truncation(alg) # fix spaces during differentiation
alg_gauge = _scrambling_env_gauge(alg) # select appropriate gauge-fixing algorithm
env_conv, info = ctmrg_iteration(InfiniteSquareNetwork(state), env, alg_fixed)
signs, corner_phases, edge_phases = compute_gauge_fix_gauge(env_conv, env, alg_gauge)
signs, = compute_gauge_fix_gauge(env_conv, env, alg_gauge)
# fix global phases relative to the fixed point inside the iteration
function gauge_fixed_iteration(A, x)
return fix_phases(
ctmrg_iteration(InfiniteSquareNetwork(A), x, alg_fixed)[1],
signs, corner_phases, edge_phases,
return fix_global_phases(
fix_relative_phases(ctmrg_iteration(InfiniteSquareNetwork(A), x, alg_fixed)[1], signs),
env,
)
end
# prepare its pullback
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