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<!DOCTYPE html>
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    <title>Research Portfolio | Jane Doe</title>
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                <h1 class="text-4xl md:text-5xl font-bold text-gray-900 mb-4">Jane Doe</h1>
                <h2 class="text-2xl md:text-3xl font-semibold text-indigo-600 mb-4">Graduate Research Student</h2>
                <p class="text-lg text-gray-600 mb-6">Exploring the frontiers of <span class="text-indigo-600">quantum computing</span> and <span class="text-indigo-600">machine learning</span> at Stanford University.</p>
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            <h2 class="text-3xl font-bold text-center mb-12 fade-in">About Me</h2>
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                    <h3 class="text-xl font-semibold mb-4 text-indigo-600">Background</h3>
                    <p class="text-gray-600 mb-4">I'm a Ph.D. candidate in Computer Science at Stanford University, specializing in quantum computing and its applications in machine learning. My research focuses on developing novel quantum algorithms that can outperform classical approaches for optimization problems.</p>
                    <p class="text-gray-600 mb-6">Before joining Stanford, I completed my Master's in Physics at MIT, where I worked on quantum error correction techniques. My undergraduate studies were at UC Berkeley, where I double-majored in Computer Science and Physics.</p>
                    
                    <h3 class="text-xl font-semibold mb-4 text-indigo-600">Research Interests</h3>
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                        <span class="bg-indigo-100 text-indigo-800 px-3 py-1 rounded-full text-sm">Quantum Computing</span>
                        <span class="bg-indigo-100 text-indigo-800 px-3 py-1 rounded-full text-sm">Machine Learning</span>
                        <span class="bg-indigo-100 text-indigo-800 px-3 py-1 rounded-full text-sm">Quantum Algorithms</span>
                        <span class="bg-indigo-100 text-indigo-800 px-3 py-1 rounded-full text-sm">Optimization</span>
                        <span class="bg-indigo-100 text-indigo-800 px-3 py-1 rounded-full text-sm">Quantum Error Correction</span>
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                    <h3 class="text-xl font-semibold mb-4 text-indigo-600">Education</h3>
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                            <h4 class="font-medium">Stanford University</h4>
                            <p class="text-gray-600">Ph.D. in Computer Science (2020-Present)</p>
                            <p class="text-sm text-gray-500">Advisor: Prof. John Smith</p>
                        </div>
                        <div class="border-l-2 border-indigo-500 pl-4 py-1">
                            <h4 class="font-medium">Massachusetts Institute of Technology</h4>
                            <p class="text-gray-600">M.Sc. in Physics (2018-2020)</p>
                            <p class="text-sm text-gray-500">Thesis: "Quantum Error Correction in Noisy Intermediate-Scale Quantum Devices"</p>
                        </div>
                        <div class="border-l-2 border-indigo-500 pl-4 py-1">
                            <h4 class="font-medium">University of California, Berkeley</h4>
                            <p class="text-gray-600">B.Sc. in Computer Science & Physics (2014-2018)</p>
                            <p class="text-sm text-gray-500">Summa Cum Laude, Phi Beta Kappa</p>
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                    <h3 class="text-xl font-semibold mt-8 mb-4 text-indigo-600">Awards & Honors</h3>
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                        <li>NSF Graduate Research Fellowship (2021)</li>
                        <li>Stanford Graduate Fellowship (2020)</li>
                        <li>MIT Physics Department Award (2019)</li>
                        <li>UC Berkeley Chancellor's Scholar (2014-2018)</li>
                    </ul>
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    <!-- Research Section -->
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            <h2 class="text-3xl font-bold text-center mb-12 fade-in">Research Projects</h2>
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                <!-- Project 1 -->
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                        <h3 class="text-xl font-semibold">Quantum Machine Learning</h3>
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                    <p class="text-gray-600 mb-4">Developing hybrid quantum-classical algorithms for machine learning tasks that show potential quantum advantage. Our approach combines parameterized quantum circuits with classical neural networks.</p>
                    <div class="flex flex-wrap gap-2 mb-4">
                        <span class="bg-gray-100 text-gray-800 px-2 py-1 rounded-full text-xs">Quantum Computing</span>
                        <span class="bg-gray-100 text-gray-800 px-2 py-1 rounded-full text-xs">Machine Learning</span>
                        <span class="bg-gray-100 text-gray-800 px-2 py-1 rounded-full text-xs">Tensor Networks</span>
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                        <h3 class="text-xl font-semibold">Quantum Optimization</h3>
                    </div>
                    <p class="text-gray-600 mb-4">Investigating quantum algorithms for combinatorial optimization problems with applications in logistics and finance. Our work focuses on reducing the quantum resources required for practical implementations.</p>
                    <div class="flex flex-wrap gap-2 mb-4">
                        <span class="bg-gray-100 text-gray-800 px-2 py-1 rounded-full text-xs">QAOA</span>
                        <span class="bg-gray-100 text-gray-800 px-2 py-1 rounded-full text-xs">Combinatorial Optimization</span>
                        <span class="bg-gray-100 text-gray-800 px-2 py-1 rounded-full text-xs">Quantum Annealing</span>
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                        <h3 class="text-xl font-semibold">Error Mitigation</h3>
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                    <p class="text-gray-600 mb-4">Developing novel error mitigation techniques for noisy intermediate-scale quantum (NISQ) devices. Our methods significantly improve the reliability of quantum computations without requiring full error correction.</p>
                    <div class="flex flex-wrap gap-2 mb-4">
                        <span class="bg-gray-100 text-gray-800 px-2 py-1 rounded-full text-xs">NISQ</span>
                        <span class="bg-gray-100 text-gray-800 px-2 py-1 rounded-full text-xs">Error Mitigation</span>
                        <span class="bg-gray-100 text-gray-800 px-2 py-1 rounded-full text-xs">Quantum Characterization</span>
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                        Learn More <i class="fas fa-arrow-right ml-2"></i>
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                        <h3 class="text-xl font-semibold">Quantum Networks</h3>
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                    <p class="text-gray-600 mb-4">Exploring protocols for quantum communication and distributed quantum computing. Our research includes developing efficient entanglement distribution schemes and quantum network coding.</p>
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                        <span class="bg-gray-100 text-gray-800 px-2 py-1 rounded-full text-xs">Quantum Communication</span>
                        <span class="bg-gray-100 text-gray-800 px-2 py-1 rounded-full text-xs">Entanglement</span>
                        <span class="bg-gray-100 text-gray-800 px-2 py-1 rounded-full text-xs">Distributed Computing</span>
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            <h2 class="text-3xl font-bold text-center mb-12 fade-in">Publications</h2>
            
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                <!-- Publication 1 -->
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                        <h3 class="text-xl font-semibold text-indigo-700">Quantum Machine Learning for Optimization Problems</h3>
                        <span class="text-sm text-gray-500 mt-1 md:mt-0">Nature Quantum Information, 2023</span>
                    </div>
                    <p class="text-gray-600 mb-3">J. Doe, M. Smith, A. Johnson</p>
                    <p class="text-gray-700 mb-4">We present a novel hybrid quantum-classical algorithm that demonstrates a polynomial speedup for certain optimization problems compared to purely classical approaches. The method combines variational quantum circuits with classical neural networks.</p>
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                        <a href="#" class="text-indigo-600 hover:text-indigo-800 mr-4 inline-flex items-center">
                            <i class="fas fa-file-pdf mr-1"></i> PDF
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                            <i class="fas fa-link mr-1"></i> DOI
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                        <a href="#" class="text-indigo-600 hover:text-indigo-800 inline-flex items-center">
                            <i class="fas fa-code mr-1"></i> Code
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                <!-- Publication 2 -->
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                    <div class="flex flex-col md:flex-row md:items-center md:justify-between mb-2">
                        <h3 class="text-xl font-semibold text-indigo-700">Error Mitigation Techniques for NISQ Devices</h3>
                        <span class="text-sm text-gray-500 mt-1 md:mt-0">Physical Review X, 2022</span>
                    </div>
                    <p class="text-gray-600 mb-3">J. Doe, R. Brown, L. Chen</p>
                    <p class="text-gray-700 mb-4">We introduce a family of error mitigation protocols that significantly improve the reliability of quantum computations on noisy devices. Our techniques require minimal overhead and are compatible with existing quantum hardware.</p>
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                        <a href="#" class="text-indigo-600 hover:text-indigo-800 mr-4 inline-flex items-center">
                            <i class="fas fa-file-pdf mr-1"></i> PDF
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                            <i class="fas fa-link mr-1"></i> DOI
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                            <i class="fas fa-code mr-1"></i> Code
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                <!-- Publication 3 -->
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                        <h3 class="text-xl font-semibold text-indigo-700">Quantum Algorithms for Portfolio Optimization</h3>
                        <span class="text-sm text-gray-500 mt-1 md:mt-0">Quantum, 2021</span>
                    </div>
                    <p class="text-gray-600 mb-3">J. Doe, T. Wilson, K. Lee</p>
                    <p class="text-gray-700 mb-4">This work demonstrates practical quantum algorithms for financial portfolio optimization problems. We show that even with noisy quantum processors, our methods can provide better solutions than classical approaches for certain problem instances.</p>
                    <div class="flex items-center">
                        <a href="#" class="text-indigo-600 hover:text-indigo-800 mr-4 inline-flex items-center">
                            <i class="fas fa-file-pdf mr-1"></i> PDF
                        </a>
                        <a href="#" class="text-indigo-600 hover:text-indigo-800 mr-4 inline-flex items-center">
                            <i class="fas fa-link mr-1"></i> DOI
                        </a>
                        <a href="#" class="text-indigo-600 hover:text-indigo-800 inline-flex items-center">
                            <i class="fas fa-code mr-1"></i> Code
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                <!-- Publication 4 -->
                <div class="publication-card bg-gray-50 p-6 rounded-lg border border-gray-200 fade-in delay-2">
                    <div class="flex flex-col md:flex-row md:items-center md:justify-between mb-2">
                        <h3 class="text-xl font-semibold text-indigo-700">Entanglement Distribution in Quantum Networks</h3>
                        <span class="text-sm text-gray-500 mt-1 md:mt-0">PRX Quantum, 2020</span>
                    </div>
                    <p class="text-gray-600 mb-3">J. Doe, A. Garcia, P. Kumar</p>
                    <p class="text-gray-700 mb-4">We develop efficient protocols for entanglement distribution in quantum networks with limited resources. Our approach significantly reduces the time required to establish entangled links between distant nodes.</p>
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