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Jun 23, 2021 at 17:17 comment added epelaez @KAJ226 thanks for all the linked papers, I'll look into them and probably come back with some questions. I also read about an improvement to VQE called ADAPT-VQE (from this paper) that is supposed to work better with certain optimization methods. So I guess that would also contribute to this.
Jun 23, 2021 at 16:43 comment added KAJ226 People have been working pretty hard trying to reduce the overall cost of VQE, and continuously making improvement on it, from reducing the measurement cost (arxiv.org/abs/1908.08067), reducing the number of qubit used either through symmetry reduction of factoring the problem into smaller sub-problems (arxiv.org/abs/2104.10220, arxiv.org/pdf/2106.07619.pdf, etc), reducing Ansatz depth (arxiv.org/pdf/2105.03836.pdf, and many many more papers on this topic)... So I do hope that VQE can have real impact in the future, but this depends on hardware advancement too.
Jun 23, 2021 at 16:31 comment added KAJ226 You might not like the number. But you can look at the paper: "Elucidating Reaction Mechanisms on Quantum Computers" arxiv.org/pdf/1605.03590.pdf
Jun 23, 2021 at 16:31 comment added KAJ226 There was a paper posted by the Schrodinger group late last year: "How will quantum computers provide an industrially relevant computation advantage in quantum chemistry?" arxiv.org/pdf/2009.12472.pdf You can look at some of the studies there. Also giving the flaw nature of VQE, using QPE is a better approach... but you do need QEC. There have been studies on resource estimate needed to solve the electronic structure problem for some complicated method using QPE with QEC.
Jun 23, 2021 at 16:29 comment added KAJ226 the optimistic side of me want to say that it could potentially help with certain problems, like solving certain electronic problems. But if you sit down and calculate the quantum resource needed (time, qubits, the type of hardware you need) to do the problems that can't be done with classical computer right now, it is quite daunting. Giving the fact that VQE is heuristic, you might not getting global min energy consistently... Especially when the cost function landscape is difficult, you will end up stuck in local min in most of your VQE run.
Jun 22, 2021 at 14:33 history edited epelaez CC BY-SA 4.0
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Jun 21, 2021 at 22:12 vote accept epelaez
Jun 21, 2021 at 21:48 answer added Greenstick timeline score: 3
Jun 21, 2021 at 15:31 comment added epelaez @KAJ226 that’s true, but what would be your take on it?
Jun 21, 2021 at 15:25 comment added KAJ226 I find the answer to "Is VQE or one of its variations enough..." is depending on who you talk to :)
Jun 21, 2021 at 7:51 history edited glS CC BY-SA 4.0
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Jun 21, 2021 at 6:56 history edited epelaez CC BY-SA 4.0
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Jun 21, 2021 at 1:59 history asked epelaez CC BY-SA 4.0