High School Can a quantum particle be simulated on a classical computer?

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Simulating a quantum particle on a classical computer raises fundamental questions about the nature of simulation itself. A classical simulation cannot replicate the exact properties of a quantum particle, as it relies on different underlying mechanisms, such as transistors. The term "exactly like" is deemed meaningless without specifying the parameters of similarity and difference. Therefore, the feasibility of such a simulation depends on the criteria set for comparison. Ultimately, the distinction between simulation and reality complicates the possibility of achieving a true replication of quantum behavior on classical systems.
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I'm just curious, is it possible to simulate a quantum particle (so that it is exactly like a real quantum particle) merely using a classical computer? When something is simulated on a classical computer, it's not really actually there, what you see on the screen is just pixels lighting up. The thing you are simulating is just a bunch of transistors turned on or off. Does this mean it's impossible to simulate a particle on a classical computer?
 
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A simulation is always something different from the thing simulated. ''exactly like'' is meaningless, since ''like'' always allows for ''not exactly''. You need to describe in which way you want a simulation to be alike, and in which way you allow it to differ, before you get a meaningless statement.
 
I am slowly going through the book 'What Is a Quantum Field Theory?' by Michel Talagrand. I came across the following quote: One does not" prove” the basic principles of Quantum Mechanics. The ultimate test for a model is the agreement of its predictions with experiments. Although it may seem trite, it does fit in with my modelling view of QM. The more I think about it, the more I believe it could be saying something quite profound. For example, precisely what is the justification of...

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