From de571765f161a49129fd9e34150f6a892f388bdc Mon Sep 17 00:00:00 2001
From: Dennis Kobert <dennis@kobert.dev>
Date: Fri, 13 Dec 2019 04:00:31 +0100
Subject: Add fibartion matrices

---
 src/simulation/mod.rs            |   2 +
 src/simulation/s_5_fibration.rs  | 118 +++++++++++++++++++++++++++++++++++++++
 src/simulation/time_evolution.rs |   4 +-
 src/simulation/two_level.rs      |   8 ++-
 src/simulation/twoxtwo_level.rs  |  40 +++++++++++++
 5 files changed, 168 insertions(+), 4 deletions(-)
 create mode 100644 src/simulation/s_5_fibration.rs
 create mode 100644 src/simulation/twoxtwo_level.rs

diff --git a/src/simulation/mod.rs b/src/simulation/mod.rs
index 290c3e6..641444e 100644
--- a/src/simulation/mod.rs
+++ b/src/simulation/mod.rs
@@ -1,5 +1,7 @@
+pub mod s_5_fibration;
 pub mod time_evolution;
 pub mod two_level;
+pub mod twoxtwo_level;
 
 #[allow(non_camel_case_types)]
 pub(crate) type c64 = num_complex::Complex<f64>;
diff --git a/src/simulation/s_5_fibration.rs b/src/simulation/s_5_fibration.rs
new file mode 100644
index 0000000..76a0350
--- /dev/null
+++ b/src/simulation/s_5_fibration.rs
@@ -0,0 +1,118 @@
+use super::c64;
+use ndarray::prelude::*;
+
+pub fn X0() -> Array2<c64> {
+    array![
+        [
+            c64::new(1.0, 0.0),
+            c64::new(0.0, 0.0),
+            c64::new(0.0, 0.0),
+            c64::new(0.0, 0.0),
+        ],
+        [
+            c64::new(0.0, 0.0),
+            c64::new(1.0, 0.0),
+            c64::new(0.0, 0.0),
+            c64::new(0.0, 0.0),
+        ],
+        [
+            c64::new(0.0, 0.0),
+            c64::new(0.0, 0.0),
+            c64::new(-1.0, 0.0),
+            c64::new(0.0, 0.0),
+        ],
+        [
+            c64::new(0.0, 0.0),
+            c64::new(0.0, 0.0),
+            c64::new(0.0, 0.0),
+            c64::new(-1.0, 0.0),
+        ]
+    ]
+}
+
+pub fn X1() -> Array2<c64> {
+    array![
+        [
+            c64::new(0.0, 0.0),
+            c64::new(0.0, 0.0),
+            c64::new(1.0, 0.0),
+            c64::new(0.0, 0.0),
+        ],
+        [
+            c64::new(0.0, 0.0),
+            c64::new(0.0, 0.0),
+            c64::new(0.0, 0.0),
+            c64::new(1.0, 0.0),
+        ],
+        [
+            c64::new(1.0, 0.0),
+            c64::new(0.0, 0.0),
+            c64::new(0.0, 0.0),
+            c64::new(0.0, 0.0),
+        ],
+        [
+            c64::new(0.0, 0.0),
+            c64::new(1.0, 0.0),
+            c64::new(0.0, 0.0),
+            c64::new(0.0, 0.0),
+        ]
+    ]
+}
+
+pub fn X2() -> Array2<c64> {
+    array![
+        [
+            c64::new(0.0, 0.0),
+            c64::new(0.0, 0.0),
+            c64::new(0.0, -1.0),
+            c64::new(0.0, 0.0),
+        ],
+        [
+            c64::new(0.0, 0.0),
+            c64::new(0.0, 0.0),
+            c64::new(0.0, 0.0),
+            c64::new(0.0, -1.0),
+        ],
+        [
+            c64::new(0.0, 1.0),
+            c64::new(0.0, 0.0),
+            c64::new(0.0, 0.0),
+            c64::new(0.0, 0.0),
+        ],
+        [
+            c64::new(0.0, 0.0),
+            c64::new(0.0, 1.0),
+            c64::new(0.0, 0.0),
+            c64::new(0.0, 0.0),
+        ]
+    ]
+}
+
+pub fn X3() -> Array2<c64> {
+    array![
+        [
+            c64::new(0.0, 0.0),
+            c64::new(0.0, 0.0),
+            c64::new(0.0, 0.0),
+            c64::new(1.0, 0.0),
+        ],
+        [
+            c64::new(0.0, 0.0),
+            c64::new(0.0, 0.0),
+            c64::new(-1.0, 0.0),
+            c64::new(0.0, 0.0),
+        ],
+        [
+            c64::new(0.0, 0.0),
+            c64::new(-1.0, 0.0),
+            c64::new(0.0, 0.0),
+            c64::new(0.0, 0.0),
+        ],
+        [
+            c64::new(1.0, 0.0),
+            c64::new(0.0, 0.0),
+            c64::new(0.0, 0.0),
+            c64::new(0.0, 0.0),
+        ]
+    ]
+}
diff --git a/src/simulation/time_evolution.rs b/src/simulation/time_evolution.rs
index 61c609e..31ea4b1 100644
--- a/src/simulation/time_evolution.rs
+++ b/src/simulation/time_evolution.rs
@@ -1,11 +1,11 @@
 use super::c64;
-use ndarray::{Array1, Array2};
+use ndarray::Array2;
 
 pub trait MatrixGen {
     fn gen(t: f64) -> Array2<c64>;
 }
 
 pub trait State {
-    fn fibrate(&self) -> Array1<c64>;
+    fn fibrate(&self) -> Vec<f64>;
     fn evolve<G: MatrixGen>(self, t: f64) -> Self;
 }
diff --git a/src/simulation/two_level.rs b/src/simulation/two_level.rs
index 38a65d9..99336a5 100644
--- a/src/simulation/two_level.rs
+++ b/src/simulation/two_level.rs
@@ -15,8 +15,12 @@ impl TwoLevel {
 }
 
 impl State for TwoLevel {
-    fn fibrate(&self) -> Array1<c64> {
-        self.state.clone()
+    fn fibrate(&self) -> Vec<f64> {
+        self.state
+            .iter()
+            .flat_map(|c| [c.re, c.im])
+            .map(|v| *v)
+            .collect()
     }
 
     fn evolve<G: super::time_evolution::MatrixGen>(mut self, t: f64) -> Self {
diff --git a/src/simulation/twoxtwo_level.rs b/src/simulation/twoxtwo_level.rs
new file mode 100644
index 0000000..8a34167
--- /dev/null
+++ b/src/simulation/twoxtwo_level.rs
@@ -0,0 +1,40 @@
+use super::c64;
+use super::s_5_fibration::*;
+use super::time_evolution::State;
+use ndarray::prelude::*;
+
+pub struct TwoXTwoLevel {
+    state: Array2<c64>,
+}
+
+impl TwoXTwoLevel {
+    pub fn new(alpha: c64, beta: c64, delta: c64, gamma: c64) -> TwoXTwoLevel {
+        TwoXTwoLevel {
+            state: array![[alpha], [beta], [gamma], [delta]],
+        }
+    }
+}
+
+impl State for TwoXTwoLevel {
+    fn fibrate(&self) -> Vec<f64> {
+        let mut conjugate = self
+            .state
+            .to_owned()
+            .into_shape((4, 1))
+            .expect("Invalid shape cast during fibartion");
+        for val in conjugate.iter_mut() {
+            *val = val.conj();
+        }
+
+        vec![
+            conjugate.dot(&X0().dot(&self.state))[(0, 0)].re,
+            conjugate.dot(&X1().dot(&self.state))[(0, 0)].re,
+            conjugate.dot(&X2().dot(&self.state))[(0, 0)].re,
+        ]
+    }
+
+    fn evolve<G: super::time_evolution::MatrixGen>(mut self, t: f64) -> Self {
+        self.state = self.state.dot(&G::gen(t));
+        self
+    }
+}
-- 
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