Michael Johanning
Zukunft of Quantum CTO & CoFounder eleQtron Deep Tech Making quantum computers ready for practical applications
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Ripple Patterns and the DoubleSlit ExperimentImagine a billiard ball and a wall with two slits (or a goal wall). The ball can either roll through one slit (or hole) or the other. Water or light waves are different. They pass through both slits at the same time – and the shape of the wave fronts changes. At first, they run parallel to the slit wall, but then they spread out in a ring shape. You can see this in the image above.At the same time, the wave patterns behind the slits differ depending on whether the wave has passed through one slit or two. In the latter case, the waves meet and influence each other according to the principle of superposition. If the peaks of the two waves meet at the same time and place, they reinforce each other. On the other hand, if the peak of one wave meets the trough of another, they weaken each other. This interaction is called#interference(see comments) and is one of the fundamental phenomena of quantum physics.The same thing happens when photons (small particles of light) are shot through two very narrow slits. They react like waves and their wave functions interfere with each other. With this wellknown quantum mechanics experiment, the doubleslit experiment, the English physicist Thomas Young was able to prove the wave nature of light for the first time in 1802.Electrons and atoms also exhibit wave properties, and their tiny wavelengths are used, for example, in electron microscopes to observe tiny structures.And also qubits, the smallest computing and information unit of a quantum computer show “wavy” properties and thus interference (more on that in a later post).#quantumcomputing#research#engineering#technology#quantummechanics#eleQtronQuantumBasiQsCopyright:Wavelength & DoubleSlit, share & remix:Lookangmany thanks toFuKwun Hwangandauthor of Easy Java Simulation = Francisco Esquembre, https://lnkd.in/eCwKze3T, https://lnkd.in/eirNnTTaSingle Slit & Double Slit:https://lnkd.in/exVvTMya
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Michael Johanning
Zukunft of Quantum CTO & CoFounder eleQtron Deep Tech Making quantum computers ready for practical applications
7mo
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By the way: You don't need a physical experiment to see interference: You can read what soap bubbles or butterfly wings have to do with it here:
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Raphael Seidel
Quantum Information Scientist at Fraunhofer FOKUS
7mo
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Check out this interference pattern, that I created during my time at FraunhoferInstitut für Produktionstechnologie IPT using world's most advanced multi slit: A spacial light modulator ⚛️
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M. Nisa Khan
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Wishful Thinking For Modern Physicists, Mathematicians, and Computer ScientistsModern physicists guess some theories. Perhaps from reading about them from the Upanishads, the Bhagavad Gita, Surya Siddhanta, or other Vedic scriptures. Examples of such are Newton's Laws of Motion and Gravitation; even Gauss' Laws; Maxwell's Equations; Fourier Transforms; Euler's Equation and much more.Quantum theories took birth because of not understanding analytic geometry, calculus and electrodynamics correctly. Still, a number of 20th century physicists, applauded by their own communities along with whatever behindthescene authorities, postulated one erroneous quantum theory after another, with a great deal of erroneous mathematics.They tried to prove their own theories with some experiments and ran into all sorts of contradictions involving infinities and other concepts.When I was studying physics, mathematics, and electrical engineering, I came across many of them. Then QM and QFTs were utilized in the graduate school texts I studied for semiconductor lasers and optoelectronics. Guess what they all did? The made each laser or OE device infinitely large for doing their math in only one direction! Imagine making that device in a clean room. I would have never finished my Ph.D. and never would have worked at Bell Labs afterwards if the OE devices I made were infinite in width. So guess what I saw when I went to Bell Labs Research? The laser theory they also used made the lasers infinitely large assuming cosine or Gaussian profiles for them! Then some of us were also simulating laser waveguides using computers and the socalled analytic theorists then jumped on the numerical/computer simulations saying they no longer had to do their analytical theories. So why do computational simulations give us similar or better results and why do quantum physicists now routinely use them? Do they know what math is behind the simulations?My post is triggered by the following computational work brought to us by Vikas Choudhary. I think it is wishful thinking that quantum theories will be validated or upgraded by new and improved computational techniques. It is also a wishful thinking that computational mathematics will lead to any physical reality behind energy and matter flow and any interaction between them.https://lnkd.in/eXpHhnPY
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Kvantify
3,781 followers
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📈 “That’s probably as good an approximation as saying elephants are spherical.” 🐘Lively office conversations often lead to challenges and deep dives into physics at Kvantify. When a remark about the price of milk sparked a debate, we took on the challenge to quantify it  just like we approach problem solving.Curious about how this led to a fun and insightful exploration of physics, elephants, and quantum computing? It’s all part of our mentality at Kvantify.Read the blogpost from Ulrich Hoff here👉 https://lnkd.in/d5gzHX8x#quantum #quantumcomputing #takethenextleap
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Erik Norman
Awardwinning polymath, artist, and musician. Expert with Geometry Nodes in Blender, vector calculus, and procedural animation with a focus on mathematical modeling and theory.
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✨Quantum Harmonic Oscillator✨A quantum harmonic oscillator is a fundamental concept in quantum mechanics used to describe the behavior of systems, such as atoms and molecules, that oscillate around stable equilibrium positions. It's analogous to a classical harmonic oscillator, like a mass on a spring, but with quantum properties.In the quantum mechanical description, the oscillator's energy levels are quantized, meaning they can only take on certain discrete values rather than any value. These energy levels form a ladderlike structure, where each level is separated by a fixed amount known as a quantum of energy.The quantum harmonic oscillator is governed by the Schrödinger equation, and its solutions yield the wave functions and corresponding energy eigenvalues of the system. The ground state, or lowest energy level, is not zero, unlike in classical mechanics, due to the Heisenberg uncertainty principle.Mathematically, the quantum harmonic oscillator is often solved using ladder operators, which raise or lower the energy levels by one quantum at a time. These operators provide a systematic way to find the eigenstates and eigenvalues of the system.The quantum harmonic oscillator has widespread applications in physics, including in the study of vibrational modes in molecules, the behavior of atoms in traps or lattices, and in the development of quantum computing algorithms.#quantumphysics #engineering #wavefunction #physics #probability #math #statistics #atomic #schrodinger #technicalartist #vfx #science #quantumcomputer #quantumcomputing #qubit #algorithm #harmonicoscillator #heisenberg #uncertaintyprinciple
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Michael Bourne
Rinu Ecologic (the Regenerative Resource Initiative) supported by Green Assist and the European Commission: CINEA.
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Lately I was getting fed up because my GPT4 client was really losing context between single responses and within single conversations... then I really wanted a chat. It took some time but it did really start to concentrate. It still hasn't completely nailed what I want it to describe for me, but it has helped me a lot in beginning to put it into words that I can communicate to other English speakers (this is something I really value):"You're touching on some profound concepts in quantum mechanics and electron behavior. Let me see if I can distill this into a clearer narrative.In classical physics, we often think of electrons as discrete particles that move from one place to another. However, in quantum field theory (QFT), things get a bit more abstract. Electrons are considered excitations in an underlying electron field. What we think of as an electron is not so much a tiny ball flying through space but a ripple or wave propagating within this field.Here are the core points you're making:1. **Electron Identity**: Electrons have indistinguishable "identities" in the sense that they are all excitations of the same electron field.2. **Wave Behavior**: Instead of single electrons moving around individually, it's often the wave properties of these excitations that propagate. This understanding aligns with the waveparticle duality of electrons.3. **Nucleus Effects**: The specific arrangement of electrons around a nucleus, including their energy states (or "namespaces" as you might call them), is determined by the nucleus configuration and external influences, like voltage.4. **Response to Voltage**: When an electric field or voltage is applied, electrons adjust their states to minimize energy, creating an equilibrium where they "feel no difference." When the voltage is removed, the system seeks a new equilibrium, potentially through electric chemical processes or adjustments.5. **Conduction and Gaps**: Atoms with incomplete electron configurations (holes) are ready to interact with their environment to gain or lose electrons, leading to electrical conduction or other chemical processes.In essence, you're describing the dynamic and interconnected behavior of electrons within atoms influenced by both internal (nucleus configuration) and external (voltage, field) factors. This view aligns well with modern quantum physics where the focus is on fields and waves rather than classical particles."
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Nathan Belmore
Senior machine learning engineer at TicketSwap Amsterdam
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Wow! This is going to completely change the daily work of many phycists. These 4 authors managed to solve the Hamiltonianlearning problem in polynomial time, in part by using the relaxation technique (an appraoch used often in approximation algorithms). This was the first large application of it in quantum learning. I also love the collaboration between the phycists and computer scientists (not to mention go bears!)https://lnkd.in/ea63hfZ3It's worth a read (quanta is one of the best physics magazines, period). Massive praise to these brilliant young academics.
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Antonio Furbino Paixao
Diretor de Engenharia e Manutenção at ecogestiones olecar sa
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The more we think we know, the more we need to realize how much there is yet to discover. This fascinating article on a new quantum formula for π is a perfect reminder of the vastness of our universe and the endless possibilities in scientific exploration.We're still embryos, learning to kik inside the womb.Hats off to the brilliant minds pushing the boundaries of quantum physics and mathematics.
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Sudhakara Allam
IT Solutions Architect
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Are we simply characters in an advanced virtual world? We may very well be!! as many a traditional philosophies portrayed human beings having fixed life signatures at birth that are very hard to change until unless cosmic help is rendered due to being gest, determined by certain actions and the information produced thereof, within the life time. The five senses given to human beings acting as windows towards cosmic interaction and information generation, does provide a chance to alter the destiny which is another tool that advanced world uses for keeping multiple creations balanced in their combined energy state. AUniversity of Portsmouthphysicist has explored whether a new law of physics could support this muchdebated theory. Drawing from the field of information physics, he suggests that physical reality is composed of bits of information. His latest research suggests that this new law, based on principles of thermodynamics and information dynamics, has implications across biology, atomic physics, and cosmology. The simulated universe hypothesis proposes that what humans experience is actually an artificial reality, much like a computer simulation, in which they themselves are constructs.Infodynamics  information has mass and that all elementary particles – the smallest known building blocks of the universe – store information about themselves, similar to the way humans haveDNA. It is based on the second law of thermodynamics, which establishes that entropy – a measure of disorder in an isolated system – can only increase or stay the same. Dr. Vopson had expected that the entropy in information systems would also increase over time, but on examining the evolution of these systems he realized it remains constant or decreases. This is where architectural principles of IT systems would have to align with Infodynamics so as to decrease the entropy of the system by way of improving linearity and decreasing motion so as to improve stability. Information cohesivity is another factor lack of which could increase entropy as there would need to be some level of transformation for expressing relatedness that requires energy to be input into the system. The paper provides an explanation for the prevalence of symmetry/Coherence in the universe. High symmetry corresponds to the lowest information entropy state, potentially explaining nature’s inclination towards it. #infodynamics #virtualreality #climatechange
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Christophe Pere, PhD
QML Researcher  Qiskit Advocate  Quantum Top Voices 20222324  Mentor  Author  Asperger
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Very nice paper this morning on: "Geometric Quantum Machine Learning with Horizontal Quantum Gates" by Roeland Wiersema, Alexander F. Kemper, Bojko N. Bakalov, and Nathan KilloranAbstract: In the current framework of Geometric Quantum Machine Learning, the canonical method for constructing a variational ansatz that respects the symmetry of some group action is by forcing the circuit to be equivariant, i.e., to commute with the action of the group. This can, however, be an overzealous constraint that greatly limits the expressivity of the circuit, especially in the case of continuous symmetries. We propose an alternative paradigm for the symmetryinformed construction of variational quantum circuits, based on homogeneous spaces, relaxing the overly stringent requirement of equivariance. We achieve this by introducing horizontal quantum gates, which only transform the state with respect to the directions orthogonal to those of the symmetry. We show that horizontal quantum gates are much more expressive than equivariant gates, and thus can solve problems that equivariant circuits cannot. For instance, a circuit comprised of horizontal gates can find the ground state of an SU(2)symmetric model where the ground state spin sector is unknown–a task where equivariant circuits fall short. Moreover, for a particular subclass of horizontal gates based on symmetric spaces, we can obtain efficient circuit decompositions for our gates through the KAK theorem. Finally, we highlight a particular class of horizontal quantum gates that behave similarly to general SU(4) gates, while achieving a quadratic reduction in the number of parameters for a generic problem.Link: https://lnkd.in/edCBWVMF#quantummachinelearning #quantumcomputing #research
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Sokkalingam Visvanathan
Consultant For Power Plant Projects in South East Asia. And Gemmologist (Coloured Gemstones and Diamond).
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Very good narration about Quantum Computing. Please take your time and read it slowly . First time, being the language (though written in English) may not sound familiar. During the second run you may start seeing some pictures and at the third you want to read from the very fundamentals. I feel it all the time, the same way. I will take some time to compose a text on simple fundamentals of Quantum Mechanics and Quantum Computing and try to give few references in the LinkedIn article format.
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