proved even dimensiongit add index.html

index.html

@@ -189,6 +189,14 @@ <h2>Bio</h2>
         </div>
         <div class="projects">
             <h2>Projects</h2>
+            <div class="project">
+                <a href="https://github.com/Lynn-Quantum-Optics/Fall-2023-Spring-2024" class="project-title">Fall 2023-Spring 2024, SOLVED: Maximal LELM Distinguishability for even d</a>
+                <figure class="project-figure">
+                    <img src="images/basis.png" alt="LELM image" class="project-image">
+                    <figcaption class="project-figcaption">Illustration of the problem: perfectly entangled states enter an LELM device and yield a certain detection signature.</figcaption>
+                </figure>
+                <p class="project-description">For my physics senior thesis with Professor Lynn of Harvey Mudd, I have determined the number of d-dimensional bell states an LELM (linear evolution and local measurement) device can distinguish using an analytic argument. This question is motivated by the audacious assumption that one doesn't possess a quantum computer ready at hand but is interested in performing some algorithm or communication protocol somehow involving a bell state measurement. This extends the work of Pisenti et al. (2011), who solved d = 2^n,  and Leslie et al. (2019), who solved d = 3. A manuscript is in progress. I am also attempting to solve the odd dimension case to complete this problem. <br></p>
+        </div>
             <div class="project">
                 <a href="https://github.com/Lynn-Quantum-Optics/Summer-2023/tree/main" class="project-title">Summer 2023, Entanglement Witnessing</a>
                 <figure class="project-figure">
@@ -206,14 +214,7 @@ <h2>Projects</h2>
                     Also experimented with an automatic decomposition of a quantum state into Jones matrices via gradient descent, which   <a href="https://github.com/Lynn-Quantum-Optics/Summer-2023/blob/main/oscar/writing/instaq.pdf">  achieved up to 99.3% fidelity</a> in our experimental setup. </p>
 
             </div>
-            <div class="project">
-                <a href="https://github.com/Lynn-Quantum-Optics/Fall-2023-Spring-2024" class="project-title">Fall 2023-Spring 2024, Maximal LELM Distinguishability for d = 6</a>
-                <figure class="project-figure">
-                    <img src="images/basis.png" alt="LELM image" class="project-image">
-                    <figcaption class="project-figcaption">Illustration of the problem: perfectly entangled states enter an LELM device and yield a certain detection signature.</figcaption>
-                </figure>
-                <p class="project-description">For my physics senior thesis with Professor Lynn of Harvey Mudd, we are working on determining the maximal number of perfectly entangled states an LELM (linear evolution and linear measurement) device could distinguish. In particular, we are extending the work of Pisenti et al. (2011), who solved d = 2^n,  and Leslie et al. (2019), who solved d = 3, to the case of d = 6. The work involves a variety of analytical and computational methods, including a custom gradient descent algorithm to optimize for finding orthogonal solutions. UPDATE: as of 1/20/24, I solved this problem: 11 out of 36 states can be distinguished.<br></p>
-        </div>
+
 
             <div class="project">
                 <a href="https://github.com/oscars47/Math-Thesis" class="project-title">Fall 2023-Spring 2024, Decomposing Unitaries as Quantum Circuits</a>
@@ -316,7 +317,7 @@ <h2>News</h2> <!-- Label for the news column -->
     <div class="news-item">
 
         <h3 class="news-title">January 2024</h3>
-        <p class="news-description">Solved my undergraduate physics thesis, which is the maximal distinguishability of d = 6 hyperdimensional bell states!!! :) </p>
+        <p class="news-description">Solved my undergraduate physics thesis, which is the maximal distinguishability of 6- hyperdimensional bell states!!! I was able to extend the argument to any even dimension! Manuscript in progress :) </p>
 
         <h3 class="news-title">December 2023</h3>
         <figure class="news-figure">