Transformations Between Imperfect Quantum Reference Frames
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2023-06-19
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Master Thesis
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yes
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Abstract
Starting from the point of view of an observer, we provide a new construction for unitary quantum reference frame transformations between observer perspectives, and under physical assumptions derive the existence of an observer-independent, external view. The non-trivial problem of reversibly transforming between physically relevant imperfect reference frames is solved by embedding such frames in perfect ones. Thanks to this embedding, our approach allows transforming into the perspective of an imperfect quantum reference frame, in a way which is consistent with the rich information theory of such frames. We explore the consequences of the embedding and explain the point of view of an observer whose frame is imperfect. The findings are applied to imperfect reference frames for one-dimensional Galilei transformations, in light of potential future applications in quantum gravity.
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ETH Zurich
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quantum reference frames
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03781 - Renner, Renato / Renner, Renato