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arXiv · 1604.02836

Relativity of Quantum States and Observables

Leon Loveridge·Paul Busch·Takayuki Miyadera
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Abstract

Under the principle that quantum mechanical observables are invariant under relevant symmetry transformations, we explore how the usual, non-invariant quantities may capture measurement statistics. Using a relativisation mapping, viewed as the incorporation of a quantum reference frame, we show that the usual quantum description approximates the relative one precisely when the reference system admits an appropriate localisable quantity and a localised state. From this follows a new perspective on the nature and reality of quantum superpositions and optical coherence.

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Leon Loveridge, Paul Busch, Takayuki Miyadera. 2016-04-11. Relativity of Quantum States and Observables. https://doi.org/10.1209/0295-5075/117/40004

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