Add quantum fisher information for a driven-dissipative Kerr parametric oscillator using auto-diff #47
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ytdHuang
changed the title
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| using SciMLSensitivity # Allows for ODE sensitivity analysis | ||
| using FiniteDiff # Finite difference methods | ||
| using LinearAlgebra # Linear algebra operations | ||
| using CairoMakie # Plotting |
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I would also add
CairoMakie.activate!(type = "svg")| The KPO system is governed by the Hamiltonian: | ||
| $$H = -p_1 a^\dagger a + K (a^\dagger)^2 a^2 - G (a^\dagger a^\dagger + a a)$$ | ||
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| where: |
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We should leave an empty line after where:, otherwise the list is not properly shown.
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| ```{julia} | ||
| function final_state(p) | ||
| G, K, γ = 0.002, 0.001, 0.01 | ||
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| N = 20 # cutoff of the Hilbert space dimension | ||
| a = destroy(N) # annihilation operator | ||
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| coef(p,t) = - p[1] | ||
| H = QobjEvo(a' * a , coef) + K * a' * a' * a * a - G * (a' * a' + a * a) | ||
| c_ops = [sqrt(γ)*a] | ||
| ψ0 = fock(N, 0) # initial state | ||
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| tlist = range(0, 2000, 100) | ||
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| sol = mesolve(H, ψ0, tlist, c_ops; params = p, progress_bar = Val(false), saveat = [tlist[end]]) | ||
| return sol.states[end].data | ||
| end | ||
| ``` | ||
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| ```{julia} | ||
| function final_state(p, t) | ||
| G, K, γ = 0.002, 0.001, 0.01 | ||
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| N = 20 # cutoff of the Hilbert space dimension | ||
| a = destroy(N) # annihilation operator | ||
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| coef(p,t) = - p[1] | ||
| H = QobjEvo(a' * a , coef) + K * a' * a' * a * a - G * (a' * a' + a * a) | ||
| c_ops = [sqrt(γ)*a] | ||
| ψ0 = fock(N, 0) # initial state | ||
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| tlist = range(0, 2000, 100) | ||
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| sol = mesolve(H, ψ0, tlist, c_ops; params = p, progress_bar = Val(false), saveat = [t]) | ||
| return sol.states[end].data | ||
| end | ||
| ``` |
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Why don't we define everything in one function?
Suggested change
| ```{julia} | |
| function final_state(p) | |
| G, K, γ = 0.002, 0.001, 0.01 | |
| N = 20 # cutoff of the Hilbert space dimension | |
| a = destroy(N) # annihilation operator | |
| coef(p,t) = - p[1] | |
| H = QobjEvo(a' * a , coef) + K * a' * a' * a * a - G * (a' * a' + a * a) | |
| c_ops = [sqrt(γ)*a] | |
| ψ0 = fock(N, 0) # initial state | |
| tlist = range(0, 2000, 100) | |
| sol = mesolve(H, ψ0, tlist, c_ops; params = p, progress_bar = Val(false), saveat = [tlist[end]]) | |
| return sol.states[end].data | |
| end | |
| ``` | |
| ```{julia} | |
| function final_state(p, t) | |
| G, K, γ = 0.002, 0.001, 0.01 | |
| N = 20 # cutoff of the Hilbert space dimension | |
| a = destroy(N) # annihilation operator | |
| coef(p,t) = - p[1] | |
| H = QobjEvo(a' * a , coef) + K * a' * a' * a * a - G * (a' * a' + a * a) | |
| c_ops = [sqrt(γ)*a] | |
| ψ0 = fock(N, 0) # initial state | |
| tlist = range(0, 2000, 100) | |
| sol = mesolve(H, ψ0, tlist, c_ops; params = p, progress_bar = Val(false), saveat = [t]) | |
| return sol.states[end].data | |
| end | |
| ``` | |
| function final_state(p, t=nothing) | |
| G, K, γ = 0.002, 0.001, 0.01 | |
| N = 20 # cutoff of the Hilbert space dimension | |
| a = destroy(N) # annihilation operator | |
| coef(p,t) = - p[1] | |
| H = QobjEvo(a' * a , coef) + K * a' * a' * a * a - G * (a' * a' + a * a) | |
| c_ops = [sqrt(γ)*a] | |
| ψ0 = fock(N, 0) # initial state | |
| tlist = isnothing(t) ? [0, 2000] : [0, t] | |
| sol = mesolve(H, ψ0, tlist, c_ops; params = p, progress_bar = Val(false)) | |
| return sol.states[end].data | |
| end |
| Plot the time evolution of the Quantum Fisher Information: | ||
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| ```{julia} | ||
| fig = Figure(size=(900, 350)) |
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Could you remove the size here? We should have set a default size in Quarto already.
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I don't have the permissions to push to this branch/PR nor to resolve the comments on github. See #46 Here is the notebook with implemented suggestions: |
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Friendly bump |
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Can you locally make a new branch based on |
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done |
albertomercurio
approved these changes
Jul 18, 2025
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ooeoe. That would be super cool! |
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Checklist
Thank you for contributing to Tutorials for Quantum Toolbox in
Julia! Please make sure you have finished the following tasks before opening the PR.datewere modified for new or updated tutorials.Version Informationsection was added at the end and displays the output ofversioninfo().make render.Request for a review after you have completed all the tasks. If you have not finished them all, you can also open a Draft Pull Request to let the others know this on-going work.
Description
This is a PR to preview the new tutorial contributed by @oameye