128 lines
4.7 KiB
Markdown
128 lines
4.7 KiB
Markdown
[Source](https://arxiv.org/abs/quant-ph/0502072 "Permalink to [quant-ph/0502072] NP-complete Problems and Physical Reality")
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# [quant-ph/0502072] NP-complete Problems and Physical Reality
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[Cornell University][3] [Library][4]
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[We gratefully acknowledge support from
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the Simons Foundation
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and member institutions][5]
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# [arXiv.org][6] > [quant-ph][7] > arXiv:quant-ph/0502072
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# Quantum Physics
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# Title: NP-complete Problems and Physical Reality
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Authors: [Scott Aaronson][32]
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(Submitted on 12 Feb 2005 ([v1][33]), last revised 21 Feb 2005 (this version, v2))
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> Abstract: Can NP-complete problems be solved efficiently in the physical universe? I survey proposals including soap bubbles, protein folding, quantum computing, quantum advice, quantum adiabatic algorithms, quantum-mechanical nonlinearities, hidden variables, relativistic time dilation, analog computing, Malament-Hogarth spacetimes, quantum gravity, closed timelike curves, and "anthropic computing." The section on soap bubbles even includes some "experimental" results. While I do not believe that any of the proposals will let us solve NP-complete problems efficiently, I argue that by studying them, we can learn something not only about computation but also about physics.
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| ----- |
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| Comments: | 23 pages, minor corrections |
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| Subjects: | Quantum Physics (quant-ph); Computational Complexity (cs.CC); General Relativity and Quantum Cosmology (gr-qc) |
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| Journal reference: | ACM SIGACT News, March 2005 |
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| Cite as: | [arXiv:quant-ph/0502072][34] |
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| | (or [arXiv:quant-ph/0502072v2][35] for this version) |
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## Submission history
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From: Scott Aaronson [[view email][36]]
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[**[v1]][33]** Sat, 12 Feb 2005 15:14:11 GMT (50kb)
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[**v2]** Mon, 21 Feb 2005 10:19:21 GMT (50kb)
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[Which authors of this paper are endorsers?][37] | [Disable MathJax][38] ([What is MathJax?][39])
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[1]: //webanalytics.library.cornell.edu/piwik.php?idsite=538&rec=1
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[2]: https://arxiv.org/icons/cu/cul_signature_unstyled.gif
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[3]: http://www.cornell.edu/
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[5]: https://confluence.cornell.edu/x/ALlRF
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[7]: https://arxiv.org/list/quant-ph/recent
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[21]: http://adsabs.harvard.edu/cgi-bin/bib_query?arXiv:quant-ph/0502072
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[32]: https://arxiv.org/find/quant-ph/1/au:+Aaronson_S/0/1/0/all/0/1
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[33]: https://arxiv.org/abs/quant-ph/0502072v1
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[34]: https://arxiv.org/abs/quant-ph/0502072
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[35]: https://arxiv.org/abs/quant-ph/0502072v2
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[36]: https://arxiv.org/show-email/0b1edee8/quant-ph/0502072
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[37]: http://arxiv.org/auth/show-endorsers/quant-ph/0502072
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[38]: javascript:setMathjaxCookie%28%29()
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[39]: https://arxiv.org/help/mathjax/
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