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Is Quantum Mechanics An Island in Theoryspace?

Aaronson, Scott (2004) Is Quantum Mechanics An Island in Theoryspace? [Preprint]

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    Abstract

    This paper investigates what happens if we change quantum mechanics in several ways. The main results are as follows. First, if we replace the 2-norm by some other p-norm, then there are no nontrivial norm-preserving linear maps. Second, if we relax the demand that norm be preserved, we end up with a theory that allows rapid solution of hard computational problems known as PP-complete problems (as well as superluminal signalling). And third, if we restrict amplitudes to be real, we run into a difficulty much simpler than the usual one based on parameter-counting of mixed states.


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    Item Type: Preprint
    Keywords: quantum computing, nonlinear quantum mechanics, origins of quantum measurement rule
    Subjects: Specific Sciences > Physics > Quantum Mechanics
    Depositing User: Scott Aaronson
    Date Deposited: 26 Jul 2004
    Last Modified: 07 Oct 2010 11:12
    Item ID: 1858
    URI: http://philsci-archive.pitt.edu/id/eprint/1858

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