Graphics for eve, fixes

model/alice.py

@@ -9,22 +9,23 @@ from utils import bin_encode, bin_decode
 class Alice:
     channel: Channel
     sent: typing.List[bool] = field(default_factory=list)
-    my_basises: typing.List[bool] = field(default_factory=list)
+    my_bases: typing.List[bool] = field(default_factory=list)
     key: typing.List[bool] = field(default_factory=list)
+    correctness: typing.List[bool] = field(default_factory=list)
 
     def generate_key_and_send(self, n: int = 100):
         self.sent = [bool(r.randint(0, 1)) for _ in range(n)]
-        self.my_basises = [bool(r.randint(0, 1)) for _ in range(n)]
-        for key, basis in zip(self.sent, self.my_basises):
+        self.my_bases = [bool(r.randint(0, 1)) for _ in range(n)]
+        for key, basis in zip(self.sent, self.my_bases):
             self.channel.send_bit(key, basis)
 
     def generate_key(self, n: int = 100):
         self.generate_key_and_send(n)
-        bobs_basises, bobs_correctness = bin_decode(self.channel.recv_classical(n, is_bob=False)), bin_decode(
+        bobs_bases, bobs_correctness = bin_decode(self.channel.recv_classical(n, is_bob=False)), bin_decode(
             self.channel.recv_classical(n, is_bob=False))
-        acceptance = [
+        self.correctness = [
             my_basis == bobs_basis and bobs_correctness
             for my_basis, bobs_basis, bobs_correctness in
-            zip(self.my_basises, bobs_basises, bobs_correctness)]
-        self.channel.send_classical(bin_encode(acceptance), is_bob=False)
-        self.key = [k for k, c in zip(self.sent, acceptance) if c]
+            zip(self.my_bases, bobs_bases, bobs_correctness)]
+        self.channel.send_classical(bin_encode(self.correctness), is_bob=False)
+        self.key = [k for k, c in zip(self.sent, self.correctness) if c]

model/bob.py

@@ -11,19 +11,19 @@ class Bob:
     channel: Channel
     my_results: typing.List[typing.Tuple[bool, bool]] = field(default_factory=list)
     key: typing.List[bool] = field(default_factory=list)
-    true_basises: typing.List[bool] = field(default_factory=list)
-    my_basises: typing.List[bool] = field(default_factory=list)
+    correctness: typing.List[bool] = field(default_factory=list)
+    my_bases: typing.List[bool] = field(default_factory=list)
 
     def recv_photons(self, n: int = 100):
-        self.my_basises = [bool(r.randint(0, 1)) for _ in range(n)]
-        self.my_results = self.channel.get_photon_results(self.my_basises)
+        self.my_bases = [bool(r.randint(0, 1)) for _ in range(n)]
+        self.my_results = self.channel.get_photon_results(self.my_bases)
 
-    def send_basises_and_correctness(self):
-        self.channel.send_classical(bin_encode(self.my_basises))
-        self.channel.send_classical(bin_encode([left + right == 1 for left, right in self.my_results]))
+    def send_bases_and_correctness(self):
+        self.channel.send_classical(bin_encode(self.my_bases))
+        self.channel.send_classical(bin_encode([left + right >= 1 for left, right in self.my_results]))
 
     def generate_key(self, n: int = 100):
         self.recv_photons(n)
-        self.send_basises_and_correctness()
-        correctness = bin_decode(self.channel.recv_classical(n))
-        self.key = [(False if k[0] else True) for k, c in zip(self.my_results, correctness) if c]
+        self.send_bases_and_correctness()
+        self.correctness = bin_decode(self.channel.recv_classical(n))
+        self.key = [(False if k[0] else True) for k, c in zip(self.my_results, self.correctness) if c]

model/channel.py

@@ -19,7 +19,7 @@ class Channel(abc.ABC):
         pass
 
     @abc.abstractmethod
-    def get_photon_results(self, basises: typing.Optional[typing.List[bool]]) -> typing.List[typing.Tuple[bool, bool]]:
+    def get_photon_results(self, bases: typing.Optional[typing.List[bool]]) -> typing.List[typing.Tuple[bool, bool]]:
         """
         Returns tuple of clicks of 0 and 1 for each bit
         """
@@ -33,14 +33,14 @@ class ChannelSym(Channel):
     bob_classical_data_pool: str = ''
     alice_classical_data_pool: str = ''
     # probability for a photon to go to the wrong detector
-    p_opt: float = 0.05
+    p_opt: float = 0.015
     # dark count
     p_dc: float = 0.05
     # the average number of emitted photons
     mu: float = 1
     # eta - the probability for a detector to react to a photon
     detector_sensitivity: float = 0.8
-    transmittance: float = 0.8
+    transmittance: float = 0.9
     eve: typing.Optional[typing.Any] = None
 
     def get_number_of_photos(self) -> int:
@@ -70,15 +70,16 @@ class ChannelSym(Channel):
         # print(f'{["Alice", "Bob"][is_bob]} received {n} characters')
         return data
 
-    def get_photon_results(self, basises: typing.Optional[typing.List[bool]]) -> typing.List[typing.Tuple[bool, bool]]:
+    def get_photon_results(self, bases: typing.Optional[typing.List[bool]]) -> typing.List[typing.Tuple[bool, bool]]:
         res = list()
-        while len(self.bob_photons) < len(basises):
+        while len(self.bob_photons) < len(bases):
             pass
-        for photons, basis in zip(self.bob_photons, basises):
+        for photons, basis in zip(self.bob_photons, bases):
             clicks = [random.uniform(0, 1) <= self.p_dc, random.uniform(0, 1) <= self.p_dc]
-            for ph_bit, ph_basis in photons:
             if random.uniform(0, 1) > self.transmittance:
+                res.append(clicks)
                 continue
+            for ph_bit, ph_basis in photons:
                 if random.uniform(0, 1) <= self.detector_sensitivity:  # We detected everything correctly
                     if ph_basis != basis:
                         if random.uniform(0, 1) > 0.5:
@@ -89,7 +90,7 @@ class ChannelSym(Channel):
                     if random.uniform(0, 1) > self.p_opt:  # Photon doesn't flip
                         clicks[ph_bit] = True
                     else:
-                        clicks[not ph_bit] = False
+                        clicks[not ph_bit] = True
             res.append((clicks[0], clicks[1]))
         self.bob_photons = list()
         return res

model/eve.py

@@ -6,12 +6,12 @@ from random import choice, uniform
 @dataclass
 class EveBS:
     hijack_probability: float = 0.45
-    my_basises: typing.List[bool] = field(default_factory=list)
+    my_bases: typing.List[bool] = field(default_factory=list)
     obtained_data: typing.List[typing.Optional[bool]] = field(default_factory=list)
 
     def process_photons(self, photons: typing.List[typing.Tuple[bool, bool]]) -> typing.List[typing.Tuple[bool, bool]]:
         basis = choice([False, True])
-        self.my_basises.append(basis)
+        self.my_bases.append(basis)
         clicks = [0, 0]
         passed = []
         for photon in photons:
@@ -33,12 +33,12 @@ class EveBS:
 @dataclass
 class EvePNS:
     k: int = 1
-    my_basises: typing.List[bool] = field(default_factory=list)
+    my_bases: typing.List[bool] = field(default_factory=list)
     obtained_data: typing.List[typing.Optional[bool]] = field(default_factory=list)
 
     def process_photons(self, photons: typing.List[typing.Tuple[bool, bool]]) -> typing.List[typing.Tuple[bool, bool]]:
         basis = choice([False, True])
-        self.my_basises.append(basis)
+        self.my_bases.append(basis)
         clicks = [0, 0]
         passed = []
         captured = 0

model/main.py

@@ -24,46 +24,82 @@ def get_e_and_r(alice, bob, n=1000) -> typing.Tuple[float, float]:
     return 1 - sum(k1 == k2 for k1, k2 in zip(alice.key, bob.key)) / len(alice.key), len(alice.key) / n
 
 
+def common_alice_bob_eve(alice: Alice, eve, n=1000) -> float:
+    return sum(correctness and alice_bit == eve_bit for alice_bit, eve_bit, correctness in
+               zip(alice.key, eve.obtained_data, alice.correctness)) / n
+
+
 channel_parameters = {'p_opt': 0.05, 'p_dc': 0.05, 'mu': 1, 'detector_sensitivity': 0.8, 'transmittance': 0.8}
-PAR_NAMES = {'p_opt': 'p_{opt}', 'p_dc': 'p_{dc}', 'mu': r'\mu', 'detector_sensitivity': r'\eta', 'transmittance': 't'}
+PAR_NAMES = {'p_opt': 'p_{opt}', 'p_dc': 'p_{dc}', 'mu': r'\mu',
+             'detector_sensitivity': r'\eta', 'transmittance': 't',
+             'eve:hijack_probability': r'p_{Eve}'}
 mu, t, p_dc, p_opt, eta = sp.symbols(r'\mu t p_{dc} p_{opt} \eta')
-e_theory = 0.5 * (p_dc + p_opt * mu * t * eta) / (2 * p_dc + mu * t * eta)
-q_theory = (mu * t * eta + 2 * p_dc) / 2 * (1 - e_theory * 2)
+p1 = 2 * p_dc - p_dc ** 2
+p_ea, p_eb = sp.exp(-mu * (1 - eta) * p_opt), sp.exp(mu * (eta + p_opt - eta * p_opt - 1))
+e_theory = 0.5 * (p_dc + t * (1 - p_ea) - p_dc * t * (1 - p_ea)) \
+           * (1 - p_dc / 2 - 0.5 * t * (1 - p_eb) + 0.5 * p_dc * t * (1 - p_eb))
+q_theory = 0.5 * (p1 + (1 - p1) * (1 - sp.exp(-mu * eta)) * t)
+e_theory /= q_theory
 
 
-def plot(parameter, values, add_eve: bool = False):
-    data_r, data_e = [], []
-    data_r_theoretical, data_e_theoretical = [], []
-    parameters_sp = {PAR_NAMES[pname]: channel_parameters[pname] for pname in PAR_NAMES.keys()}
+def plot(parameter, values, add_eve: bool = False, show=False):
+    data_q, data_e, eve_gains = [], [], []
+    data_q_theoretical, data_e_theoretical = [], []
+    parameters_sp = {PAR_NAMES[pname]: channel_parameters[pname] for pname in channel_parameters.keys()}
     n = 10000
     for val in values:
         print(val)
-        channel = ChannelSym(**{parameter: val})
+        channel = ChannelSym(**({parameter: val} if not parameter.startswith('eve:') else {}),
+                             **{par: channel_parameters[par] for par in channel_parameters.keys() if par != parameter})
         alice, bob = Alice(channel), Bob(channel)
         if add_eve:
-            eve = EveBS()
+            eve = EveBS(**({parameter.removeprefix('eve:'): val} if parameter.startswith('eve:') else {}))
             channel.eve = eve
         run_qkd(alice, bob, n)
         e, r = get_e_and_r(alice, bob, n)
-        data_r.append(r)
+        data_q.append(r)
         data_e.append(e)
+        if add_eve:
+            eve_gains.append(common_alice_bob_eve(alice, eve, n))
         parameters_sp[PAR_NAMES.get(parameter, parameter)] = val
-        data_r_theoretical.append(float(q_theory.evalf(subs=parameters_sp)))
+        data_q_theoretical.append(float(q_theory.evalf(subs=parameters_sp)))
         data_e_theoretical.append(float(e_theory.evalf(subs=parameters_sp)))
     from matplotlib import pyplot as plt
-    plt.plot(values, data_r, label='$R$')
-    plt.plot(values, data_e, label='$E$')
-    plt.plot(values, data_r_theoretical, label='$R_{theory}$')
-    plt.plot(values, data_e_theoretical, label='$E_{theory}$')
+    plt.plot(values, data_q, label='$Q$')
+    plt.plot(values, data_q_theoretical, label='$Q_{theory}$')
     plt.legend()
     if not os.path.exists('output'):
         os.mkdir('output')
     with open(f'output/dep_{parameter}.json', 'w') as f:
-        f.write(json.dumps([list(values), data_r, data_e, data_r_theoretical, data_e_theoretical]))
+        f.write(json.dumps([list(values), data_q, data_e, data_q_theoretical, data_e_theoretical]))
     plt.xlabel('$' + PAR_NAMES.get(parameter, parameter) + '$')
-    plt.title('$R$ and $E$ vs. $' + PAR_NAMES.get(parameter, parameter) + '$' + ' with Eve' * add_eve)
-    plt.savefig(f'output/dep_{parameter}.png')
+    plt.title('$Q$ vs. $' + PAR_NAMES.get(parameter, parameter) + '$' + ' with Eve' * add_eve)
+    plt.savefig(f'output/dep_{parameter}_q{"_with_eve" * add_eve}.png')
+    if show:
         plt.show()
+    else:
+        plt.cla()
+    plt.plot(values, data_e, label='$E$')
+    plt.plot(values, data_e_theoretical, label='$E_{theory}$')
+    plt.legend()
+    plt.xlabel('$' + PAR_NAMES.get(parameter, parameter) + '$')
+    plt.title('$E$ vs. $' + PAR_NAMES.get(parameter, parameter) + '$' + ' with Eve' * add_eve)
+    plt.savefig(f'output/dep_{parameter}_e{"_with_eve" * add_eve}.png')
+    if show:
+        plt.show()
+    else:
+        plt.cla()
+    if add_eve:
+        plt.plot(values, [g / q for g, q in zip(eve_gains, data_q)], label='$Q_{Eve}$')
+        plt.title('Eve\'s gains')
+        plt.legend()
+        plt.ylabel(r'$\dfrac{Q_{Eve}}{Q}$')
+        plt.xlabel('$' + PAR_NAMES.get(parameter, parameter) + '$')
+        plt.savefig(f'output/dep_{parameter}_eve_q.png')
+        if show:
+            plt.show()
+        else:
+            plt.cla()
 
 
 def run_one():
@@ -94,6 +130,10 @@ def run_one():
 
 if __name__ == '__main__':
     import numpy as np
-    plot('p_dc', np.arange(0, 0.1, 0.01))
-    plot('detector_sensitivity', np.arange(0.5, 1, 0.05))
-    plot('mu', np.arange(0.5, 1.5, 0.1))
+
+    plot('p_dc', np.arange(0, 0.15, 0.01))
+    plot('p_opt', np.arange(0, 0.15, 0.01))
+    plot('detector_sensitivity', np.arange(0.1, 1, 0.05))
+    plot('mu', np.arange(0.5, 2.5, 0.1))
+    plot('transmittance', np.arange(0.4, 1, 0.05))
+    # plot('eve:hijack_probability', np.arange(0, 1, 0.05))