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Updated: May 9, 2025

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
Published on: May 30, 2014
Quantum coordinates, localisation of events, and the quantum hole argument
Viktoria Kabel1,2, Anne-Catherine de la Hamette1,2, Luca Apadula1,2
1Institute for Quantum Optics and Quantum Information (IQOQI), Austrian Academy of Sciences, Boltzmanngasse 3, A-1090 Vienna, Austria.
Quantum reference frames (QRFs) show that superposition and entanglement are not absolute but depend on the chosen frame. This research explores frame-dependent locations and their impact on causality and locality.
Area of Science:
- Quantum physics
- Foundations of physics
- Quantum information theory
Background:
- Classical reference frames are fundamental in physics.
- Quantum Reference Frames (QRFs) incorporate quantum properties of frames.
- Existing frameworks often treat reference frames classically.
Purpose of the Study:
- To investigate how quantum reference frames (QRFs) affect notions of superposition and entanglement.
- To explore the relational definition of physical quantities in the context of QRFs.
- To analyze the frame-dependence of spacetime localization and its implications.
Main Methods:
- Examining configuration identification across superposed branches.
- Utilizing symmetries to analyze sameness and difference across branches.
- Applying QRF concepts to semi-classical spacetimes in superposition.
- Constructing comparison maps using scalar field coincidences.
Main Results:
- Superposition and entanglement lose their absolute meaning in QRFs.
- The identification of configurations across branches is QRF-dependent.
- Event localization in semi-classical spacetimes is frame-dependent.
- A generalization of Einstein's hole argument to the quantum context is presented.
Conclusions:
- The choice of QRF fundamentally alters the interpretation of quantum states.
- Frame-dependent localization has significant implications for causal order and locality.
- This work provides a new perspective on the relational nature of physical properties.
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