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        <title><![CDATA[Stories by Ananya Thomas on Medium]]></title>
        <description><![CDATA[Stories by Ananya Thomas on Medium]]></description>
        <link>https://medium.com/@ananyathomas10?source=rss-6b6e2804bcf7------2</link>
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            <title>Stories by Ananya Thomas on Medium</title>
            <link>https://medium.com/@ananyathomas10?source=rss-6b6e2804bcf7------2</link>
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            <title><![CDATA[Beam Me Up, Qubit]]></title>
            <link>https://medium.com/@ananyathomas10/beam-me-up-qubit-b8dce1a570cf?source=rss-6b6e2804bcf7------2</link>
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            <category><![CDATA[physics]]></category>
            <category><![CDATA[quantum-computing]]></category>
            <category><![CDATA[quantum-physics]]></category>
            <category><![CDATA[computer-science]]></category>
            <category><![CDATA[mathematics]]></category>
            <dc:creator><![CDATA[Ananya Thomas]]></dc:creator>
            <pubDate>Sun, 24 Aug 2025 11:29:17 GMT</pubDate>
            <atom:updated>2025-08-24T11:29:17.092Z</atom:updated>
            <content:encoded><![CDATA[<h4>A small love letter to the strangest delivery system in physics</h4><p>I’m not sure about you, but after the long weekend we just had, coming back to the daily humdrum of normal life and the dopamine crash it brings isn’t exactly the dream. I would do anything to just teleport myself back to the beach: cool drink in hand, waves doing their timeless job of mending the soul.</p><p>That is still a far-fetched fantasy, one that sci-fi has been selling to us for decades, but here is the twist: Physicists do teleport things today. Not humans, not objects, but an even stranger third thing: information.</p><figure><img alt="" src="https://cdn-images-1.medium.com/max/491/1*MITAqwJFyMUsIaapQu6-3w.jpeg" /></figure><h4><strong>What is quantum teleportation?</strong></h4><p>Quantum teleportation is the process of transmitting the exact quantum state of a particle to another, distant particle, without moving the particle itself. This is made possible through three key principles: entanglement, classical communication, and the no-cloning theorem.</p><p><strong>Entanglement: </strong>Two particles can become so deeply linked that their states cannot be described independently. To put it simply, imagine two players in a game of tug-of-war. If one player pulls hard enough to win, the other is automatically assigned the role of loser. The result of one immediately defines the state of the other. Similarly, when two quantum particles are entangled, measuring one particle’s state instantly reveals information about the other, no matter how far apart they are.</p><p><strong>The Bell State</strong></p><p>The Bell State is a maximally entangled quantum state where you cannot describe either qubit independently; the second you measure one, it collapses the other to the same result.</p><figure><img alt="" src="https://cdn-images-1.medium.com/max/892/1*W4fjT40GI58M9AM6BCwCcw.jpeg" /><figcaption>This is one of the 4 Bell States</figcaption></figure><p><strong>No Cloning Theorem</strong>: In the quantum world, there’s a strict no-plagiarism rule. Unlike the classical world, where copying information is possible, this theorem states that in quantum mechanics, it is impossible to create a copy of an unknown quantum state. This is based on the idea that quantum particles are in the state of superposition, and any attempt to measure them for copying would inadvertently disturb the original state, hence making any copy of it imperfect. As a result, quantum teleportation doesn’t involve sending duplicates; it’s about transferring the state itself.</p><p><strong>Classical Communication</strong>: Even with entangled qubits enabling teleportation, a purely quantum channel isn’t enough. There needs to be a classical channel to communicate certain measurement outcomes from the sender to the receiver so that they can reconstruct the quantum state. This ensures that quantum teleportation doesn’t violate relativity, and no information actually travels faster than light.</p><h4>How does this work?</h4><p>I am no Feynman, but I will do my very best to explain quantum teleportation using Quantum Physics’s oldest friends, Alice and Bob.</p><p>We have Alice, who has a quantum state that she wants to teleport to Bob. Both Alice and Bob have one half of an entangled pair (The Bell State).</p><figure><img alt="" src="https://cdn-images-1.medium.com/max/869/1*ZXc6Cm_DKPeQWFdW0-6O4Q.jpeg" /></figure><figure><img alt="" src="https://cdn-images-1.medium.com/max/868/1*jYxFW1cWWfnf0-uO0oREdA.jpeg" /></figure><figure><img alt="" src="https://cdn-images-1.medium.com/max/849/1*0ZMKWAs7NgoKIkjmUeSiAQ.jpeg" /></figure><figure><img alt="" src="https://cdn-images-1.medium.com/max/867/1*dvnIUF0sX29bLPgvQHEUUg.jpeg" /></figure><h4>Experimental Work</h4><p>For the longest time, quantum teleportation lived only in the realm of math and theory, strange equations scribbled on paper with no foothold in reality. That was until 1997, when Anton Zeilinger and his group in Innsbruck were able to successfully demonstrate quantum teleportation using photons. This breakthrough not only proved the theory but also laid the foundation for an entirely new direction of research. From there, each experiment inched the quantum dream closer to reality</p><figure><img alt="" src="https://cdn-images-1.medium.com/max/1024/1*7GUO9fisLk8FloisCBRWpw.png" /></figure><p>Each of these milestones took teleportation out of the confines of theoretical physics and closer to something practical.</p><p>I am a sucker for practical implementation of technical concepts in real life, so here are a few use cases of quantum teleportation :</p><p><strong>The Quantum Internet</strong></p><p>The classical internet wasn’t built to withstand the storm of quantum computers. With algorithms like Shor’s that can effortlessly crack RSA encryption, the security backbone of today’s internet becomes fragile. This makes it crucial to develop an extension that can survive in a post-quantum world. The quantum internet isn’t designed to replace the classical internet, but to act as an add-on. Leveraging quantum entanglement and teleportation, it enables ultra-secure communication and opens the door to applications that lie far beyond the capabilities of the classical internet.</p><p><strong>Quantum cryptography</strong></p><p>Quantum teleportation establishes a secure communication channel because any eavesdropping attempt is inherently detectable. Instead of transmitting the physical particle itself, information is transferred through shared entanglement and classical communication. Since the process relies on entangled qubits, any attempt to intercept or measure them would disturb the entanglement, making the intrusion immediately noticeable.</p><p><strong>Distributed Quantum Computing</strong></p><p>Using teleportation, we can link several quantum processors into one large network that allows for more complex computations. By teleporting qubits between nodes, small quantum computers can act together as if they were one large-scale machine, which is a crucial step towards building the quantum internet.</p><p>Now we’re getting to the real, pressing question. <strong><em>Can I just teleport myself back to the beach?</em></strong></p><p>Here’s the catch: to teleport a human, we’d need to capture every quantum detail our body holds. Think of each atom as a tiny piece of information, an average human has about 7 x 10²⁷ atoms. That’s roughly 10²⁸ “bits” of quantum data. Storing and transmitting this with the required precision isn’t just hard, it’s beyond the capacity of the entire universe as we know it.</p><p>And thanks to the no-cloning theorem, this would mean the original you would have to be destroyed for the teleportation to be successful. Even if we somehow pulled this off, the teleported version would just be a perfect reconstruction made from scratch. Which raises the Ship of Theseus-style paradox: is that really you, or just a very convincing copy?</p><p>So no, we won’t be zipping to the beach anytime soon. But the fact that we can already teleport quantum information across space is extraordinary enough. It’s laying the groundwork for a future where communication and computation look nothing like today.</p><img src="https://medium.com/_/stat?event=post.clientViewed&referrerSource=full_rss&postId=b8dce1a570cf" width="1" height="1" alt="">]]></content:encoded>
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            <title><![CDATA[Dice-Throwing Deities and Other Uncertainties]]></title>
            <link>https://medium.com/@ananyathomas10/dice-throwing-deities-and-other-uncertainties-e76d92339882?source=rss-6b6e2804bcf7------2</link>
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            <category><![CDATA[quantum-mechanics]]></category>
            <category><![CDATA[science]]></category>
            <category><![CDATA[physics]]></category>
            <category><![CDATA[quantum-physics]]></category>
            <category><![CDATA[quantum-computing]]></category>
            <dc:creator><![CDATA[Ananya Thomas]]></dc:creator>
            <pubDate>Fri, 20 Jun 2025 06:00:25 GMT</pubDate>
            <atom:updated>2025-06-20T06:00:25.298Z</atom:updated>
            <content:encoded><![CDATA[<h4>This Is Why We Can’t Have Nice Things: A Quantum Origin Story</h4><p>Have you ever wondered how physics, long considered one of the most precise sciences rooted in determinism, predictability, and continuity, became the playground of paradoxes, the breeding ground of quantum mechanics, and the birthplace of a revolutionary dichotomy?</p><p>Surprisingly, the genesis of quantum theory didn’t come from decades of focused research by 50 scientists trying to expose a crack in classical physics. Instead, it began as something closer to a Hail Mary, a desperate attempt to solve a bizarre problem that physicists dubbed the <strong>ultraviolet catastrophe</strong> (yes, they were quite a dramatic bunch).</p><figure><img alt="" src="https://cdn-images-1.medium.com/max/1024/1*N0X05cQmGSWD8xYPcP7xyA.jpeg" /></figure><p><strong>The Ultraviolet Catastrophe (The blackbody radiation problem)</strong></p><p>A blackbody is a theoretical concept used to define an object that absorbs all electromagnetic radiation. Classical physics predicted that it should emit an infinite amount of energy as the wavelength decreases into the ultraviolet range, but experimental observations proved otherwise. This was known as the ultraviolet catastrophe.</p><figure><img alt="" src="https://cdn-images-1.medium.com/max/1024/0*Ubp9iBHk6KzfQYDC" /></figure><p>Max Planck, while trying to match these experimental results with a theoretical model, made what he called an “act of desperation” by proposing that energy is quantized, i.e., it is not emitted continuously but instead in discrete packets called “quanta.”</p><p>Planck introduced the idea that the energy (E) of radiation is directly proportional to the frequency of the radiation (f). This is expressed with the equation</p><p>E = hf</p><p>Where ‘h’ is the Planck’s constant (approximately 6.626 x 10^-34 J s).</p><p>He was not setting out to rewrite history, he was just trying to make the math work. But in doing so, he unknowingly cracked open the door to a new reality, one where certainty gave way to probability, and continuity fractured into quanta. And just like that, the reluctant revolutionary became the father of quantum physics.</p><p><strong>The Photoelectric Effect</strong></p><p>For a while, the idea of quantization was just a math fix. Then, about five years after Planck’s breakthrough, Einstein took it a step further by demonstrating the quantum nature of light through the photoelectric effect.</p><p>When electromagnetic radiation strikes a material, electrons are emitted from it, this is known as the photoelectric effect. Classical physics couldn’t explain why even intense low-frequency light failed to eject electrons, while dim but high-frequency light could. Einstein proposed that light isn’t just a wave, it also comes in discrete energy packets that were later called photons.</p><p>It was never about how much light strikes the surface but how energetic the photon was to “kick” an electron free. It’s like one of those games at a fair where you have to knock down a gift with a ball to win it. It’s not about how many balls you throw but how strong each one is that knocks the prize down.</p><p><strong>Matter Wave theory</strong></p><p>After Einstein proposed that light, long believed to behave like a wave, can also behave like a particle (photons) Louis de Broglie flipped the script and asked — if waves can act like particles could particles act like waves?</p><p>According to him, every particle has a wavelength (λ) based on its momentum (p). He expressed this with the equation:</p><p>λ = h/p</p><p>Where h is the Planck’s constant.</p><p><strong>Heisenberg’s Uncertainty principle</strong></p><p>Here’s where quantum mechanics starts to mess with your sense of certainty. Heisenberg’s Uncertainty principle states that you cannot simultaneously know both the position(x) and the momentum(p) of a particle with precision.</p><p>This is because the act of measuring changes the system, as measuring a particle’s position disturbs its momentum and vice versa. This was a contrast to Newtonian physics. Newton let you have it all while Heisenberg shrugged and said pick one.</p><p>Δx⋅Δp ≥ h/4π​</p><p><strong>Schrodinger Wave Equation</strong></p><p>Unlike Newtonian physics where knowing a system’s current state lets you predict exactly where it’ll be in the future, quantum particles exist in a cloud of probabilities. To describe how quantum waves evolve over time, Erwin Schrodinger proposed an equation. This equation would become one of the central pillars of quantum mechanics.</p><p>iħ (∂Ψ/∂t) = H Ψ</p><p>Ψ represents the wave function which is a mathematical description of everything that we can know about a quantum system.</p><p>Ĥ is known as the Hamiltonian operator, which represents the total energy of the system.</p><p>i is the imaginary unit because of course, we need complex numbers as if the concept wasn’t enough.</p><p>ħ is the reduced Planck’s constant (h/2π)</p><p>Max Born, a physicist who took Schrödinger’s math one step further, suggested we look at the square of the wave function (|Ψ|²) at any given space and time to denote the probability density of finding a particle at that location. So, a wave function doesn’t tell us where the particle is, instead, it tells us how likely it is to be somewhere.</p><p>This solidified quantum physics as probabilistic instead of deterministic, a conclusion that deeply frustrated Einstein. Enough to the point where he said:</p><blockquote>“God does not play dice with the universe.”</blockquote><p>(understandable but super funny considering he helped invent the dice.)</p><p><strong>Where Certainty Ends</strong></p><p>We had waves and particles cosplaying as each other, no certain outcomes, measurements that changed the very system they were observing, and an entirely new field of study hinging on probability.</p><p>And this was just the beginning.</p><p>Physics, once the poster child of exactness, was growing into an evolving haze of maybe. Which is kind of poetic — if you weren’t screaming into your pillow while Hans Zimmer plays in the background.</p><img src="https://medium.com/_/stat?event=post.clientViewed&referrerSource=full_rss&postId=e76d92339882" width="1" height="1" alt="">]]></content:encoded>
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            <title><![CDATA[Schrödinger’s Cat and Other Things That Won’t Leave Me Alone]]></title>
            <link>https://medium.com/@ananyathomas10/schr%C3%B6dingers-cat-and-other-things-that-won-t-leave-me-alone-fbbde8a898ed?source=rss-6b6e2804bcf7------2</link>
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            <category><![CDATA[physics]]></category>
            <category><![CDATA[quantum-computing]]></category>
            <category><![CDATA[quantum]]></category>
            <category><![CDATA[engineering]]></category>
            <category><![CDATA[computer-science]]></category>
            <dc:creator><![CDATA[Ananya Thomas]]></dc:creator>
            <pubDate>Fri, 06 Jun 2025 12:34:40 GMT</pubDate>
            <atom:updated>2025-06-06T12:34:40.767Z</atom:updated>
            <content:encoded><![CDATA[<h4>Just letting wonder take the wheel on this one</h4><figure><img alt="" src="https://cdn-images-1.medium.com/max/740/1*q0IxsAs3WTkZiRQkOKshGQ.jpeg" /></figure><p>A while before I even started college, I stumbled across a video in which Dr. Talia Gershon explained quantum computing at different difficulty levels. I didn’t fully grasp everything, but something about it fascinated me. I read up on the basics- superposition, entanglement, and qubits; just enough to feel like I had peeked into a strange new world.</p><p>Then college started. I got busy with classes, processing imposter syndrome, relearning how to make conversation in the hope of finding at least one friend, and just trying to navigate life away from home. AI/ML was everywhere, and I got swept into that wave like everyone else. It wasn’t until my third year, when we had a course on quantum computing, that the spark returned. It was complicated and confusing but also deeply exciting. But as Bohr once said, <strong><em>“If you’re not confused by quantum physics, you don’t really understand it.”</em></strong> So maybe I was doing something right. I used to wait for that class, sit in the front row with my friend (the one I made with my newly rediscovered but slightly wonky social skills), and question everything. God, I loved it.</p><p>But then came placement season. Then my first job and with it the intense desire to do everything perfectly. I’ve always loved coding and solving problems but somewhere in the race to keep up, I started feeling like I was losing sight of what truly excited me. I started feeling like an imposter again. I thought I had it all figured out but something felt missing.</p><p>Until I went back to my old notes. And there it was again, <strong>quantum computing</strong>.</p><p>There’s something about ideas that won’t leave you alone. I realized every time I saw “quantum computing” in a headline or heard someone mention it, I stopped. I listened. I read. I didn’t <em>have</em> to, but I <em>wanted</em> to. I kept bringing it up in conversations without noticing. It wasn’t just a passing interest turns out, it was something that had been quietly persistent all along.</p><p>Now I know exploring such a vast, and let’s be honest really dense field while having a full-time job and trying to make the most out of my twenties sounds like a lot, but here’s the thing about passion and this is a good test just in case you are wondering if you truly love something (whether that’s a person or just a weirdly counterintuitive bizarre field of study is up to you), is that making time for it does not feel like a chore and spending time on it does not feel exhausting. That’s what quantum computing has become for me. I want to read about it, I want to immerse myself in papers, revisit the basics, and follow threads I barely understand, just so I can understand them better.</p><p>I really think a lot of it has to do with the fact that I am learning for the sake of learning. I am not rushing to be an expert. I am just letting wonder take the wheel while I enjoy the ride.</p><p>So here’s where I am at: I bought myself <em>In Search of Schrodinger’s Cat </em>by John Gribbin (plus a new pack of highlighters and sticky notes because I am, in fact, a girl of Pinterest and I WILL be annotating), understanding the essence of linear algebra ( 3Blue1Brown what would I do without you? ), playing around with Qiskit, spending an ungodly amount on Goodreads looking for recommendations on fictional books that dabble in Quantum hypotheses, and trying to figure out how all of this might actually affect the real world. (No, the fictional books are not my source, I SWEAR).</p><p>And now I’m here sharing my learning journey through the chaos, curiosity, and the occasional complete <strong>mental decoherence</strong>(<em>because, of course</em>).</p><img src="https://medium.com/_/stat?event=post.clientViewed&referrerSource=full_rss&postId=fbbde8a898ed" width="1" height="1" alt="">]]></content:encoded>
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