Does there exist a large scale scalable tool (engine) for simulating the universe that incorporates both quantum mechanics and cosmology, i.e. micro & macro scales?

(It would be best if this tool simulated the entire universe using quantum mechanics only, without any corrections to the model that come from the macro scale)

Additional resources (from @Qmechanic):

  1. How many bits are needed to simulate the universe?

  2. Simulate the universe?

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    $\begingroup$ No, and it would be darn near impossible to do so for many reasons (computational requirements being key). You might be interested in this arxiv paper $\endgroup$ – Kyle Kanos Nov 14 '14 at 21:43
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    $\begingroup$ Also, why do you expect the entire universe can be modeled by quantum mechanics alone? $\endgroup$ – Kyle Kanos Nov 14 '14 at 21:47
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    $\begingroup$ According to Douglas Adams, the Earth was created as the computer to answer just one such question (the Ultimate Question of Life, the Universe, and Everything). I suppose that by extrapolation, the universe is actually a giant simulator of the universe - and you would need something that big to do a half decent job... $\endgroup$ – Floris Nov 14 '14 at 21:47
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    $\begingroup$ Somebody already started the analog simulator. Alas, we seem to be inside it! $\endgroup$ – Jon Custer Nov 14 '14 at 21:48
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    $\begingroup$ @tesgoe: No, we do not have the capability to do what you think can be done. The trillion body problem was numerically modeled about two years ago (a hydrodynamic evolution of the universe). The number of particles in the universe exceeds $10^9$ by about 71 orders of magnitude. What you propose is beyond absurd at this point in time. $\endgroup$ – Kyle Kanos Nov 15 '14 at 1:24

Nobody has managed to simulate anything except the most trivial quantum systems on a classical computer. One of the reasons people are so keen to develop quantum computers is that they are ideally suited to simulating quantum systems and real life problems that involve QM, most notably things in chemistry and biology. Quantum computing promises to be exponentially faster than classical computer for these tasks. Another approach is to use existing QM systems to simulate other QM systems ie a something like a quantum analog computer

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  • $\begingroup$ What is the reason that we cannot run such a simulation? Only the computational resources? Cannot unitary transformations and information storage (qubits) be simulated on classical machines? $\endgroup$ – tesgoe Nov 15 '14 at 10:02
  • $\begingroup$ Quantum systems can be simulated on a classical computer but beyond the simplest the computational requirements explode. A qubit is not simply a 1 or 0 or a number in between. en.wikipedia.org/wiki/Qubit $\endgroup$ – user56903 Nov 15 '14 at 11:20
  • $\begingroup$ Thank you @dirk-bruere, will dig deeper into it. I think this (together with comments) answers my question. $\endgroup$ – tesgoe Nov 15 '14 at 11:27
  • $\begingroup$ While the answer is not known, I think that it's expected not to be the case that quantum computers are generally exponentially faster than classical ones. In particular I think it's expected that NP is not in QP (or is it BQP? I mean the class of problems soluble on a quantum machine in polynomial time). Obviously, since we don't even know if P is NP or not there is some uncertainty here. $\endgroup$ – tfb Mar 19 '16 at 18:48

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