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updates to plots
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@bdoolittle
bdoolittle committed Jan 9, 2023
1 parent e7cf430 commit 77e3e43
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Showing 6 changed files with 270 additions and 154 deletions.
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121 changes: 79 additions & 42 deletions script/plots/chsh_uniform_amplitude_damping_high_res.py
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Original file line number Diff line number Diff line change
Expand Up @@ -103,8 +103,14 @@
Theoretical Scores
"""

# def max_entangled_score(gamma):
# return 2 * np.sqrt(2 * (1 - gamma) ** 2)

def max_entangled_score(gamma):
return 2 * np.sqrt(2 * (1 - gamma) ** 2)
return max(
2 * np.sqrt(2 * (1 - gamma) ** 2),
2 * np.sqrt((1 - gamma) ** 2 + (gamma ** 2 + (1 - gamma) ** 2) ** 2)
)

def max_entangled_score2(gamma):
return 2 * np.sqrt((1 - gamma) ** 2 + (gamma ** 2 + (1 - gamma) ** 2) ** 2)
Expand All @@ -130,10 +136,12 @@ def _nonmax_entangled_score(gamma, lambda_star):

def nonmax_entangled_score(gamma):
lambda_star = lambda_star_score(gamma)
return _nonmax_entangled_score(gamma, lambda_star)
# return _nonmax_entangled_score(gamma, lambda_star)
return max(max_entangled_score(gamma), _nonmax_entangled_score(gamma, lambda_star))


max_entangled_theory = [max_entangled_score(gamma) for gamma in noise_params]
max_entangled_theory2 = [max_entangled_score2(gamma) for gamma in noise_params]
# max_entangled_theory2 = [max_entangled_score2(gamma) for gamma in noise_params]

nonmax_entangled_theory = [nonmax_entangled_score(gamma) for gamma in noise_params]

Expand All @@ -158,76 +166,84 @@ def nonmax_entangled_score(gamma):
fontweight="bold",
)

ylabel = r"Max CHSH Score ($S^\star_{\mathrm{CHSH}}(\tilde{\rho}_\lambda)$)"
ylabel = r"$S^\star_{\mathrm{CHSH}}(\tilde{\rho}_{\lambda,\gamma})$"

ax1.plot(noise_params, [np.sqrt(2) * 2] * num_samples, "-", linewidth=2, label="Quantum Bound")
ax1.plot(noise_params, [2] * num_samples, "-.", linewidth=2, label="Classical Bound")
ax1.plot(
(qbound_plot,) = ax1.plot(noise_params, [np.sqrt(2) * 2] * num_samples, "-", linewidth=2, label="Quantum Bound")
(cbound_plot,) = ax1.plot(noise_params, [2] * num_samples, "-.", linewidth=2, label="Classical Bound")
(max_ent_theory_plot,) = ax1.plot(
noise_params,
max_entangled_theory,
"-",
color="C2",
linewidth=2,
label="Max Entangled " + r"($\sqrt{\mu_x + \mu_y}$)",
label=r"$S^\star_{\mathrm{CHSH}}(\tilde{\rho}_{\frac{1}{2},\gamma})$",
)
ax1.plot(
noise_params,
max_entangled_theory2,
"--",
color="C2",
linewidth=2,
label="Max Entangled " + r"($\sqrt{\mu_x + \mu_z}$)",
)
ax1.plot(
# ax1.plot(
# noise_params,
# max_entangled_theory2,
# "--",
# color="C2",
# linewidth=2,
# label="Max Entangled " + r"($\sqrt{\tau^2_x + \tau^2_z}$)",
# )
(nonmax_ent_theory_plot,) = ax1.plot(
noise_params,
nonmax_entangled_theory,
"-.",
"-",
color="C3",
linewidth=2,
label="Nonmax Entangled " + r"($\sqrt{\mu_x + \mu_z}$)",
label=r"$S^\star_{\mathrm{CHSH}}(\tilde{\rho}_{\lambda^\star,\gamma})$",
)
ax1.plot(
(gamma_c_nonmax_ent_plot,) = ax1.plot(
[crit_gamma, crit_gamma],
[0, 2 * np.sqrt(2)],
[1, 2 * np.sqrt(2)],
":",
linewidth=2,
color="magenta",
label="Optimal State Crossover",
color="C3",
label=r"$\gamma_{c,\lambda^\star}$",
)
ax1.plot(
(gamma_0_max_ent_plot,) = ax1.plot(
[1 - 1 / np.sqrt(2), 1 - 1 / np.sqrt(2)],
[0, 2 * np.sqrt(2)],
":",
[1, 2 * np.sqrt(2)],
"-.",
linewidth=2,
color="C2",
label="Max Entangled\nNonlocality Broken",
label=r"$\gamma_{0,\frac{1}{2}}$",
)
ax1.plot(
(gamma_0_non_max_ent_plot,) = ax1.plot(
[1 / 3, 1 / 3],
[0, 2 * np.sqrt(2)],
":",
[1, 2 * np.sqrt(2)],
"-.",
linewidth=2,
color="C3",
label="Nonmax Entangled\nNonlocality Broken",
label=r"$\gamma_{0,\lambda^\star}$",
)
ax1.plot(
(gamma_c_max_ent_plot,) = ax1.plot(
[1 / 2, 1 / 2],
[1, 2 * np.sqrt(2)],
":",
linewidth=2,
color="C2",
label=r"$\gamma_{c,\frac{1}{2}}$",
)
(vqo_max_ent_plot,) = ax1.plot(
noise_params,
ghz_max_chsh_uniform_ad,
marker="d",
color="C2",
markersize=5,
markersize=6,
markerfacecolor="None",
linewidth=2,
linestyle="None",
label="VQO Max Entangled",
alpha=0.6,
)
ax1.plot(
(vqo_nonmax_ent_plot,) = ax1.plot(
noise_params,
ryrz_cnot_max_chsh_uniform_ad,
color="C3",
marker="o",
markersize=5,
markersize=6,
markerfacecolor="None",
linewidth=2,
linestyle="None",
Expand All @@ -238,7 +254,28 @@ def nonmax_entangled_score(gamma):
ax1.set_xlabel(r"Noise Parameter ($\gamma$)", size=18)
ax1.set_ylabel(ylabel, size=18)

plt.figlegend(ncol=2, loc="lower center", fontsize=16, bbox_to_anchor=(0, -0.01, 1, 1,))
plt.figlegend(
[
qbound_plot,
cbound_plot,
(max_ent_theory_plot, vqo_max_ent_plot),
(nonmax_ent_theory_plot, vqo_nonmax_ent_plot),
gamma_c_max_ent_plot,
gamma_c_nonmax_ent_plot,
gamma_0_max_ent_plot,
gamma_0_non_max_ent_plot,
],
[
"Quantum Bound", "Classical Bound",
r"Max CHSH Score $S^\star_{\mathrm{CHSH}}(\tilde{\rho}_{\frac{1}{2},\gamma})$",
r"Max CHSH Score $S^\star_{\mathrm{CHSH}}(\tilde{\rho}_{\lambda^\star,\gamma})$",
r"Crossover Parameter $\gamma_{c,\frac{1}{2}}$",
r"Crossover Parameter $\gamma_{c,\lambda^\star}$",
r"Nonlocality Broken $\gamma_{0,\frac{1}{2}}$",
r"Nonlocality Broken $\gamma_{0,\lambda^\star}$",
],
ncol=2, loc="lower center", fontsize=18, bbox_to_anchor=(0, 0.05, 1, 1,)
)

ax2.plot(
noise_params_inset,
Expand All @@ -259,23 +296,23 @@ def nonmax_entangled_score(gamma):
ax2.plot(
noise_params_inset,
nonmax_entangled_theory_inset,
"-.",
"-",
color="C3",
linewidth=2,
label="Nonmaximally Entangled\nState Preparation",
)
ax2.plot(
[1 - 1 / np.sqrt(2), 1 - 1 / np.sqrt(2)],
[1.84, 2.12],
":",
"-.",
color="C2",
label="Max Entangled\nNonlocality Broken",
linewidth=2,
)
ax2.plot(
[1 / 3, 1 / 3],
[1.84, 2.12],
":",
"-.",
color="C3",
label="Nonmax Entanglement\nNonlocality Broken",
linewidth=2,
Expand All @@ -284,7 +321,7 @@ def nonmax_entangled_score(gamma):
[crit_gamma, crit_gamma],
[1.84, 2.12],
":",
color="magenta",
color="C3",
label="Nonmax Entanglement\nNonlocality Broken",
linewidth=2,
)
Expand All @@ -293,7 +330,7 @@ def nonmax_entangled_score(gamma):
ghz_max_chsh_uniform_ad_inset,
color="C2",
marker="d",
markersize=5,
markersize=6,
markerfacecolor="None",
label=r"Bell State Preparation ($|\Phi^+\rangle$)",
alpha=0.6,
Expand All @@ -303,7 +340,7 @@ def nonmax_entangled_score(gamma):
ryrz_cnot_max_chsh_uniform_ad_inset,
color="C3",
marker="o",
markersize=5,
markersize=6,
markerfacecolor="None",
linewidth=1,
label="Nonmaximally Entangled\nState Preparation",
Expand Down
1 change: 1 addition & 0 deletions script/plots/context.py
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Original file line number Diff line number Diff line change
Expand Up @@ -2,5 +2,6 @@
import sys

sys.path.insert(0, os.path.abspath("./"))
# sys.path.insert(0, os.path.abspath("../../"))

import src
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