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# [quant-ph/0502072] NP-complete Problems and Physical Reality

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# Quantum Physics

# Title: NP-complete Problems and Physical Reality

Authors: [Scott Aaronson][32]

(Submitted on 12 Feb 2005 ([v1][33]), last revised 21 Feb 2005 (this version, v2))

> 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. 

| ----- |
|  Comments:  |  23 pages, minor corrections |  
|  Subjects:  |  Quantum Physics (quant-ph); Computational Complexity (cs.CC); General Relativity and Quantum Cosmology (gr-qc) |  
|  Journal reference:  |  ACM SIGACT News, March 2005 |  
|  Cite as:  |  [arXiv:quant-ph/0502072][34] |  
|    |  (or [arXiv:quant-ph/0502072v2][35] for this version) | 

## Submission history

From: Scott Aaronson [[view email][36]]   
[**[v1]][33]** Sat, 12 Feb 2005 15:14:11 GMT (50kb)  
[**v2]** Mon, 21 Feb 2005 10:19:21 GMT (50kb)  

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