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Very naive question but is it even possible to do quantum experiments with code on a regular computer? Anyone knows if it's been tried?
by stagas 5y ago
Very naive question but is it even possible to do quantum experiments with code on a regular computer? Anyone knows if it's been tried?
- rndphs 5y agoYou can simulate quantum dynamics but the number of bits required is exponential with respect to the number of qubits simulated. So basically you can simulate really simple quantum systems but it becomes pretty much intractable when the system you are simulating has many parts.
- nabla9 5y agoYes. It's just an equation. The complexity of quantum system that can be simulate is limited. https://marl0ny.github.io/QM-Simulator-2D/index.html https://marl0ny.github.io/QM-Simulator-2D/index.html From the above link you can look single slit, double slit, triple slit, step, spike, or load an arbitrary image as a potential and do experiments in 2d box. >This WebGL program simulates the quantum mechanics of a single particle confined in a 2D box, where inside this box the user can create new potential barriers and scatter Gaussian wavepackets off them. The full instructions are found here. https://github.com/marl0ny/QM-Simulator-2D https://github.com/marl0ny/QM-Simulator-2D btw. Wave function collapse in quantum physics is completely speculative phenomenon. There is only apparent wave function collapse.
- tsimionescu 5y ago> btw. Wave function collapse in quantum physics is completely speculative phenomenon. There is only apparent wave function collapse. To be more precise, the Born rule non-linear adjustment of the wave function to a single real value after a measurement is strictly necessary for QM to match experiments. Whether this should be interpreted as a physical phenomenon of wave function collapse, or as entanglement with the environment (MWI), or as an update of probabilities for hidden variables (Pilot wave) or some other phenomenon is speculative, but the wave function must be "collapsed" to a single real value after a measurement to correctly predict experimental results.
- nabla9 5y agoAdjustment is just cutting interference terms from equation. Mathematically apparent wave function collapse is caused by quantum decoherence. Wave-function collapse as a priori process is just speculation. Finding that it actually happens would be new physics.
- wizzwizz4 5y agoIn which case, where does the Born rule come from?
- nabla9 5y agohttps://en.wikipedia.org/wiki/Gleason%27s_theorem https://en.wikipedia.org/wiki/Gleason%27s_theorem
- wizzwizz4 5y agoHuh. I can't believe I missed this. Thanks.
- nabla9 5y agoIn quantum computing the consequence of the theorem (as I understand it) is that once you have asked every yes/no question there is to ask about the state, the state has collapsed.
- wizzwizz4 5y agoI didn't think you needed the theorem for that; quantum entanglement behaves very similarly to information theory (specifically, information provenance).
- tsimionescu 5y agoAs far as I can tell, that is just explaining the numeric value of the Born rule, not the wave function collapse/update. I have not found any claims that Gleason's theorem (which I was unaware of, so thank you for pointing it out!) solves the measurement problem.
- Extigy 5y agoIf you like that simulation you might also like my own webGL Gross-Pitaevskii Equation (GPE) solver. It uses RK4 to simulate a 2D box of ultracold atoms undergoing Bose-Einstein Condensation. The GPE models a condensate as a single-particle quantum wavefunction with a non-linear form of the Schrödinger Equation, so you get some interesting behaviour from the non-linearity while the simulation remains computationally feasible. You can interact with the potential term by clicking and dragging inside the 2D box. https://georgestagg.github.io/webgl_gpe/ https://georgestagg.github.io/webgl_gpe/
- jeffwass 5y agoSure. We’ve been doing quantum theory with pencil and paper for over a century!