## Quantum computing, postselection, and probabilistic (2005)

Venue: | Proceedings of the Royal Society A |

Citations: | 39 - 12 self |

### BibTeX

@INPROCEEDINGS{Aaronson05quantumcomputing,,

author = {Scott Aaronson},

title = {Quantum computing, postselection, and probabilistic},

booktitle = {Proceedings of the Royal Society A},

year = {2005},

pages = {0412187}

}

### Years of Citing Articles

### OpenURL

### Abstract

I study the class of problems efficiently solvable by a quantum computer, given the ability to “postselect” on the outcomes of measurements. I prove that this class coincides with a classical complexity class called PP, or Probabilistic Polynomial-Time. Using this result, I show that several simple changes to the axioms of quantum mechanics would let us solve PP-complete problems efficiently. The result also implies, as an easy corollary, a celebrated theorem of Beigel, Reingold, and Spielman that PP is closed under intersection, as well as a generalization of that theorem due to Fortnow and Reingold. This illustrates that quantum computing can yield new and simpler proofs of major results about classical computation.