Bloch sphere topology

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I saw some recent posts about interactive games to simulate qpu gate sequencing made by a member. That got me thinking, are there any that simulate the Bloch sphere’s pointer? I think it would be really informative to understand quantum computing if we could visualize the pointer’s trajectory rather than his gate sequencing. A problem with that would be that the bloch sphere only works for a single qubit. You cant just use two bloch spheres to convey entangled states. You can show the individual qubit is now at a point inside the bloch sphere surface implying entanglement with something, but it doesn't convey which qubits it's entangled with and how. Yeah that’s what I’m trying to do. Show the point inside if it on a vector. Im working on a code that tracks the pointer’s movement in the Bloch sphere, tuned to an environmental bath. Hey, I made a quantum game based on bloch sphere representations of qubits that you might want to check out. I have a blog post discussing the visual representations of quantum states used: https://quantumfrontiers.com/2024/08/05/building-a-visceral-understanding-of-quantum-phenomena/ I would love to ask you some deeper questions about a similar project I’m working on if you may have the time! While your game seems to be showing the gate sequencing, mine tracks the actual pointer of the Bloch sphere during coherence to decoherence. While every component of the state vector consists of 2 complex numbers, just like a single qbit, state vector component is not a qbit. There 2N components there to represent N qbits. We use that to mathematically model the physical interactions that take place, once gates are applied to quantum states, to have some hope of modeling out, ahead of time, various algorithms. The only thing you can do with a state vector is draw a probably distribution that corresponds to magnitudes of those components, that tells you the probability, that in a physical system, measurement of N qbits, will read that value, out of 2N possibilities. Going back from the state vector, to actual entangled qbit states that would correspond to that state vector, is mathematically unsolvable. At least, thats how I explained it to myself, probably wrong tho. Na that all makes sense. The difference is I’m not looking at entangled pairs. I’m trying to simulate a single block sphere in an open environment to track the pointer’s movement during decoherence. You can definitely do that, depending on your level. Qutip, a python library for quantum information, has built it plot routine to do such things. But that will require to code your simulations in python. Look up the visualizations tutorials, that might help you. Create your account and connect with a world of communities.
