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Test optimization with static arrays
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| Original file line number | Diff line number | Diff line change |
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| using Test | ||
| using QuantumControl | ||
| using QuantumPropagators: ExpProp | ||
| using QuantumControl.Functionals: J_T_sm | ||
| using GRAPE | ||
| import Krotov | ||
| using LinearAlgebra | ||
| using Printf | ||
| import IOCapture | ||
| using StaticArrays: @SMatrix, @SVector | ||
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| ϵ(t) = 0.2 * QuantumControl.Shapes.flattop(t, T=5, t_rise=0.3, func=:blackman); | ||
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| """Two-level-system Hamiltonian.""" | ||
| function tls_hamiltonian(Ω=1.0, ϵ=ϵ) | ||
| σ̂_z = ComplexF64[ | ||
| 1 0 | ||
| 0 -1 | ||
| ] | ||
| σ̂_x = ComplexF64[ | ||
| 0 1 | ||
| 1 0 | ||
| ] | ||
| Ĥ₀ = -0.5 * Ω * σ̂_z | ||
| Ĥ₁ = σ̂_x | ||
| return hamiltonian(Ĥ₀, (Ĥ₁, ϵ)) | ||
| end; | ||
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| """Two-level-system Hamiltonian, using StaticArrays.""" | ||
| function tls_hamiltonian_static(Ω=1.0, ϵ=ϵ) | ||
| σ̂_z = @SMatrix ComplexF64[ | ||
| 1 0 | ||
| 0 -1 | ||
| ] | ||
| σ̂_x = @SMatrix ComplexF64[ | ||
| 0 1 | ||
| 1 0 | ||
| ] | ||
| Ĥ₀ = -0.5 * Ω * σ̂_z | ||
| Ĥ₁ = σ̂_x | ||
| return hamiltonian(Ĥ₀, (Ĥ₁, ϵ)) | ||
| end; | ||
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| @testset "TLS" begin | ||
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| println("\n==================== TLS ===========================\n") | ||
| H = tls_hamiltonian() | ||
| tlist = collect(range(0, 5, length=501)) | ||
| Ψ₀ = ComplexF64[1, 0] | ||
| Ψtgt = ComplexF64[0, 1] | ||
| problem = ControlProblem( | ||
| [Trajectory(Ψ₀, H, target_state=Ψtgt)], | ||
| tlist; | ||
| iter_stop=5, | ||
| prop_method=ExpProp, | ||
| J_T=J_T_sm, | ||
| check_convergence=res -> begin | ||
| ((res.J_T < 1e-10) && (res.converged = true) && (res.message = "J_T < 10⁻¹⁰")) | ||
| end, | ||
| ) | ||
| res = optimize(problem; method=Krotov) | ||
| display(res) | ||
| @test res.J_T < 1e-3 | ||
| @test 1.0 < maximum(abs.(res.optimized_controls[1])) < 1.2 | ||
| println("===================================================\n") | ||
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| end | ||
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| @testset "TLS (static)" begin | ||
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| println("\n================ TLS (static) ======================\n") | ||
| H = tls_hamiltonian_static() | ||
| tlist = collect(range(0, 5, length=501)) | ||
| Ψ₀ = @SVector ComplexF64[1, 0] | ||
| Ψtgt = @SVector ComplexF64[0, 1] | ||
| problem = ControlProblem( | ||
| [Trajectory(Ψ₀, H, target_state=Ψtgt)], | ||
| tlist; | ||
| iter_stop=5, | ||
| prop_method=ExpProp, | ||
| J_T=J_T_sm, | ||
| check_convergence=res -> begin | ||
| ((res.J_T < 1e-10) && (res.converged = true) && (res.message = "J_T < 10⁻¹⁰")) | ||
| end, | ||
| ) | ||
| res = optimize(problem; method=Krotov) | ||
| display(res) | ||
| @test res.J_T < 1e-3 | ||
| @test 1.0 < maximum(abs.(res.optimized_controls[1])) < 1.2 | ||
| println("===================================================\n") | ||
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| end | ||
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| @testset "TLS (continue from GRAPE)" begin | ||
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| println("\n============ TLS (GRAPE continuation) ============\n") | ||
| H = tls_hamiltonian() | ||
| tlist = collect(range(0, 5, length=501)) | ||
| Ψ₀ = ComplexF64[1, 0] | ||
| Ψtgt = ComplexF64[0, 1] | ||
| problem = ControlProblem( | ||
| [Trajectory(Ψ₀, H, target_state=Ψtgt)], | ||
| tlist; | ||
| iter_stop=5, | ||
| prop_method=ExpProp, | ||
| J_T=J_T_sm, | ||
| check_convergence=res -> begin | ||
| ((res.J_T < 1e-10) && (res.converged = true) && (res.message = "J_T < 10⁻¹⁰")) | ||
| end, | ||
| ) | ||
| res_grape = optimize(problem; method=GRAPE, iter_stop=2) | ||
| res = | ||
| optimize(problem; method=Krotov, continue_from=res_grape, store_iter_info=["J_T"],) | ||
| display(res) | ||
| @test res.J_T < 1e-5 | ||
| @test abs(res.records[1][1] - res_grape.J_T) < 1e-14 | ||
| @test length(res.records) == 4 | ||
| println("===================================================\n") | ||
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| end | ||
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| @testset "TLS (continue with GRAPE)" begin | ||
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| println("\n=========== TLS (continue with GRAPE) ============\n") | ||
| H = tls_hamiltonian() | ||
| tlist = collect(range(0, 5, length=501)) | ||
| Ψ₀ = ComplexF64[1, 0] | ||
| Ψtgt = ComplexF64[0, 1] | ||
| problem = ControlProblem( | ||
| [Trajectory(Ψ₀, H, target_state=Ψtgt)], | ||
| tlist; | ||
| iter_stop=5, | ||
| prop_method=ExpProp, | ||
| J_T=J_T_sm, | ||
| check_convergence=res -> begin | ||
| ((res.J_T < 1e-10) && (res.converged = true) && (res.message = "J_T < 10⁻¹⁰")) | ||
| end, | ||
| ) | ||
| res_krotov = optimize(problem; method=Krotov, iter_stop=2) | ||
| res = | ||
| optimize(problem; method=GRAPE, continue_from=res_krotov, store_iter_info=["J_T"],) | ||
| display(res) | ||
| @test res.J_T < 1e-3 | ||
| @test length(res.records) == 4 | ||
| @test abs(res.records[1][1] - res_krotov.J_T) < 1e-14 | ||
| println("===================================================\n") | ||
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| end |