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quantum_math_presentation.html
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<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="UTF-8">
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<title>Quantum Circuit Presentation</title>
<style>
body {
font-family: Arial, sans-serif;
margin: 0;
overflow: hidden; /* Prevent scrolling */
}
.slide-container {
display: flex;
flex-direction: column;
height: 100vh;
}
.slide {
flex: 1;
display: none;
justify-content: center;
align-items: center;
background-color: #f0f0f0;
}
.slide.active {
display: flex;
}
.slide-content {
text-align: center;
}
.math-section {
margin-top: 20px;
}
.equation {
margin: 10px 0;
}
.navigation {
text-align: center;
padding: 10px;
background-color: #fff;
border-top: 1px solid #ccc;
}
.metric-card {
display: inline-block;
width: 200px;
margin: 10px;
padding: 10px;
border: 1px solid #ccc;
border-radius: 5px;
background-color: #fff;
}
@keyframes pulse {
0% { transform: scale(1); }
50% { transform: scale(1.05); }
100% { transform: scale(1); }
}
.highlight {
animation: pulse 2s infinite;
}
</style>
<script src="https://polyfill.io/v3/polyfill.min.js?features=es6"></script>
<script id="MathJax-script" async src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js"></script>
</head>
<body>
<div class="slide-container">
<!-- Title Slide -->
<div class="slide active">
<div class="slide-content">
<h1>DNA-Inspired Quantum Circuit Design</h1>
<p>A Hybrid Graphene-Silicon-Diamond Implementation</p>
</div>
</div>
<!-- Architecture Slide -->
<div class="slide">
<div class="slide-content">
<h2>Circuit Architecture</h2>
<div class="quantum-circuit">
<div class="qubit-line">
<div class="qubit-label">Q0 (Graphene)</div>
<div class="quantum-wire">
<div class="gate" style="left: 20%">H</div>
</div>
</div>
<div class="qubit-line">
<div class="qubit-label">Q1 (Silicon)</div>
<div class="quantum-wire">
<div class="gate" style="left: 40%">X</div>
</div>
</div>
<div class="qubit-line">
<div class="qubit-label">Q2 (Silicon)</div>
<div class="quantum-wire">
<div class="gate" style="left: 60%">Y</div>
</div>
</div>
<div class="qubit-line">
<div class="qubit-label">Q3 (Diamond)</div>
<div class="quantum-wire">
<div class="gate" style="left: 80%">Z</div>
</div>
</div>
</div>
</div>
</div>
<!-- Materials Slide -->
<div class="slide">
<div class="slide-content">
<h2>Material Properties</h2>
<div style="display: grid; grid-template-columns: repeat(auto-fit, minmax(200px, 1fr)); gap: 20px;">
<div>
<h3>Graphene Layer</h3>
<p>Mobility: >200,000 cm²/V·s</p>
<p>Thickness: 0.34nm</p>
<p>Frequency: 4.40 GHz</p>
</div>
<div>
<h3>Silicon Interface</h3>
<p>Bandgap: 1.12 eV</p>
<p>Coherence: ~1ms</p>
<p>Temp: 4K</p>
</div>
<div>
<h3>Diamond NV Centers</h3>
<p>Density: 10¹⁴/cm³</p>
<p>T2 Time: >1ms</p>
<p>Q-Factor: >10⁶</p>
</div>
</div>
</div>
</div>
<!-- Mathematical Foundations -->
<div class="slide">
<div class="slide-content">
<h2>Mathematical Foundations</h2>
<div class="math-section">
<h3>1. Harmonic Series Foundation</h3>
<div class="equation">
\[ f_n = n \cdot f_1 \]
<p>Base frequency relationship for quantum states</p>
</div>
<h3>2. Resonance Conditions</h3>
<div class="equation">
\[ A = \frac{F_0}{\sqrt{(k - m \omega^2)^2 + (b \omega)^2}} \]
<p>Quantum state amplitude response</p>
</div>
<h3>3. Wave Interference Patterns</h3>
<div class="equation">
\[ y = y_1 + y_2 \]
<p>Quantum state superposition principle</p>
</div>
<h3>4. Golden Harmony Integration</h3>
<div class="equation">
\[ \Phi = \sqrt{(R \cdot F^2) + E^2} \]
<p>Resonance-Energy coupling relationship</p>
</div>
<h3>5. Hybrid Material Utilization</h3>
<div class="equation">
\[ \Psi = \alpha \cdot \text{Graphene} + \beta \cdot \text{Diamond} + \gamma \cdot \text{Silicon} \]
<p>Quantum circuit utilizing graphene, diamond, and silicon</p>
</div>
</div>
</div>
</div>
<!-- Performance Metrics -->
<div class="slide">
<div class="slide-content">
<h2>Performance Metrics</h2>
<div style="display: grid; grid-template-columns: repeat(auto-fit, minmax(200px, 1fr)); gap: 20px;">
<div>
<h3>Coherence</h3>
<p>Max Time: 1000 ps</p>
<p>Stability: 568.84</p>
<p>Fidelity: >93%</p>
</div>
<div>
<h3>Operations</h3>
<p>Gate Time: <1ns</p>
<p>Error Correction: 2ns</p>
<p>Recovery: 99.9%</p>
</div>
</div>
</div>
</div>
<div class="navigation">
<button onclick="previousSlide()">Previous</button>
<button onclick="nextSlide()">Next</button>
</div>
</div>
<script>
let currentSlide = 0;
const slides = document.querySelectorAll('.slide');
function showSlide(index) {
slides.forEach(slide => slide.classList.remove('active'));
slides[index].classList.add('active');
}
function nextSlide() {
currentSlide = (currentSlide + 1) % slides.length;
showSlide(currentSlide);
}
function previousSlide() {
currentSlide = (currentSlide - 1 + slides.length) % slides.length;
showSlide(currentSlide);
}
</script>
</body>
</html>