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Capabilities of physics to go beyond Turing machine…

Capabilities of physics to go beyond Turing machine?

Quantum computes are believed to have higher capabilities than Turing machine, bringing question if our physics could allow for even better ways, like the main concern: does our physics allow practical NP-solvers?
I think about it for \~20 years and just worked with topLLMs on big review: https://zenodo.org/records/23125606 \- would gladly discuss
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Quantum clearing a plain Turing machine on cost is the smaller claim. A practical NP-solver has to buy an exponential search with polynomial resources, and thermodynamics usually sends those proposals back. If one physical resource in the review still stands after noise and energy, that is the argument worth having.