forked from naezzell/topological-spin-transport
-
Notifications
You must be signed in to change notification settings - Fork 0
/
spin_flip_test.jl
138 lines (125 loc) · 3.23 KB
/
spin_flip_test.jl
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
##
using OpenQuantumTools, OrdinaryDiffEq, Plots, LaTeXStrings
using OpenQuantumBase
include("helperFuncs.jl")
##
##
J = 1
nt = 1
Γ = 0.1
adj_mat = build_triangular_chain_adjacency_matrix(nt);
x_part, z_part = form_static_ham_ops(adj_mat, J, Γ);
x_drive = σx ⊗ σi ⊗ σi;
amp = 100;
function driving(amp)
tf = π / (2 * amp);
tvals = LinRange(0, tf, 1000)
func = amp * interval.(tvals, 0, tf)
slist = tvals / tf;
i_func = construct_interpolations(slist, func)
return i_func, tf
end
i_func, tf = driving(amp);
#H = DenseHamiltonian([(s) -> 1, (s) -> i_func(s)], [z_part, x_drive], unit=:ħ)
H = DenseHamiltonian([(s) -> i_func(s)], [x_drive], unit=:h)
##
##
init_state = q_translate_state("011");
sol = solve_closed_annealing_obj(H, init_state, tf);
##
##
desired = q_translate_state("111");
compute_fidelity(desired, sol[end])
##
##
compute_psuedo_spin(sol[end], 1, 2, 3)
##
# bare bones thing
##
init_state = q_translate_state("0");
H = DenseHamiltonian([(s) -> (π/2)], [σx])
sol = solve_closed_annealing_obj(H, init_state, 1);
desired = q_translate_state("1");
fid = norm(adjoint(desired) * sol[end])^2
##
##
init_state = q_translate_state("0");
H = DenseHamiltonian([(s) -> (π/2)], [σx])
sol = solve_closed_annealing_obj(H, init_state, 1 / (2 * π));
desired = q_translate_state("1");
fid = norm(adjoint(desired) * sol[end])^2
##
##
init_state = q_translate_state("0");
H = DenseHamiltonian([(s) -> (π/2)], [σx], unit=:ħ)
sol = solve_closed_annealing_obj(H, init_state, 1);
desired = q_translate_state("1");
fid = norm(adjoint(desired) * sol[end])^2
##
##
init_state = q_translate_state("0");
amp = 2.2346;
tf = (π / 2) / amp;
H = DenseHamiltonian([(s) -> amp], [σx], unit=:ħ)
sol = solve_closed_annealing_obj(H, init_state, tf);
desired = q_translate_state("1");
fid = norm(adjoint(desired) * sol[end])^2
##
##
# Adding a latex σz term
##
##
init_state = q_translate_state("0");
desired = q_translate_state("1");
amp_list = 0.1:1:100
fid_list = []
for amp in amp_list
tf = (π / 2) / amp;
H = DenseHamiltonian([(s) -> 1, (s) -> amp], [σz, σx], unit=:ħ)
sol = solve_closed_annealing_obj(H, init_state, tf);
fid = norm(adjoint(desired) * sol[end])^2
push!(fid_list, fid)
end
##
##
# Trying to flip a spin under the influence of two qubits
##
##
init_state = q_translate_state("000");
desired = q_translate_state("100");
amp_list = 0.1:1:100
zzi = σz ⊗ σz ⊗ σi
ziz = σz ⊗ σi ⊗ σz
izz = σi ⊗ σz ⊗ σz
hz = zzi + ziz + izz
xi = σx ⊗ σi ⊗ σi
fid_list = []
for amp in amp_list
tf = (π / 2) / amp;
H = DenseHamiltonian([(s) -> 1, (s) -> amp], [hz, xi], unit=:ħ)
sol = solve_closed_annealing_obj(H, init_state, tf);
fid = norm(adjoint(desired) * sol[end])^2
push!(fid_list, fid)
end
##
##
#
##
##
init_state = q_translate_state("000");
desired = q_translate_state("100");
amp_list = 0.1:1:100
zzi = σz ⊗ σz ⊗ σi
ziz = σz ⊗ σi ⊗ σz
izz = σi ⊗ σz ⊗ σz
hz = zzi + ziz + izz
xi = σx ⊗ σi ⊗ σi
fid_list = []
for amp in amp_list
tf = (π / 2) / amp;
H = DenseHamiltonian([(s) -> 1, (s) -> amp], [hz, xi], unit=:ħ)
sol = solve_closed_annealing_obj(H, init_state, tf);
fid = norm(adjoint(desired) * sol[end])^2
push!(fid_list, fid)
end
##