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Relativity of Quantum States and Observables

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arxiv 1604.02836 v3 pith:EB6QQ547 submitted 2016-04-11 quant-ph

Relativity of Quantum States and Observables

classification quant-ph
keywords quantumobservablesreferenceunderusualadmitsappropriateapproximates
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. How many degrees of freedom describe a quantum N-particle state?

    quant-ph 2026-07 conditional novelty 7.0

    For closed quantum N-particle systems all 3N canonical degrees of freedom are physical; the frame degrees of freedom that relational models discard reappear as non-Heisenberg terms in generalised uncertainty relations...

  2. Quantum Reference Fields Transformations in Linearized Quantum Gravity

    gr-qc 2026-06 unverdicted novelty 7.0

    Extends quantum reference frames to quantum reference fields in linearized quantum gravity and derives unitary maps implementing relational gauge-invariant observables between quantum perspectives.

  3. Specifying the operational meaning of quantum reference frames

    quant-ph 2026-07 conditional novelty 5.0

    Position-superposed labs define quantum reference frames operationally, differ from Wigner's-friend observers, and can broadcast outcomes without decohering their position superposition.