Quantum mechanics from two physical postulates

Details Quantum mechanics from two physical postulates Quantum mechanics from two physical postulates

2004-02-20

arxiv.org/abs/quant-ph/0402153v1

Int. J. Theor. Phys. 44 (2005) 429

Physics

Quantum Physics

15 pages, REVTEX4

Scientific paper

10.1007/s10773-005-3966-9

For an arbitrary preparation, quantum mechanical descriptions refer to the complementary contexts set by incompatible measurements. We argue that an arbitrary preparation, therefore, should be described with respect to such a context by its degrees of disturbance (represented by real numbers) and their probability distribution (postulate 1). Measurement contexts thus provide reference frames for the preparation space of a physical system; a preparation being described by a point in this space with the aforementioned as its coordinates relative to a given measurement apparatus. However, all measurement contexts are equivalent with regard to the description of a given preparation; there is no preferred measurement (postulate 2). In the framework provided by the preparation space, we show that quantum mechanics emerges naturally from the above postulates in a new formulation which is manifestly canonical; provided the degrees of disturbance are identified with the quantum phases of the preparation with respect to (the basis furnished by) the measurement apparatus.

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