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Two Quantum Paradigms, but Still No Signal
Published 20 Feb 2024 in cs.CC and quant-ph | (2402.13049v1)
Abstract: An overwhelming majority of quantum (pure and mixed) states, when undertaking a POVM measurement, will result in a classical probability with no algorithmic information. Thus most quantum states produce white noise when measured. Furthermore most non-pointer states, when undergoing the decoherence process, will produce white noise. These results can be seen as consequences of the vastness of Hilbert spaces.
- T. Cover and J. Thomas. Elements of Information Theory. Wiley-Interscience, New York, NY, USA, 1991.
- S. Epstein. The outlier theorem revisited. CoRR, abs/2203.08733, 2022.
- S. Epstein. On the algorithmic information between probabilities. CoRR, abs/2303.07296, 2023.
- S. Epstein. Algorithmic Physics. 2024. http://www.jptheorygroup.org/doc/APhysics.pdf.
- L. A. Levin. Randomness conservation inequalities; information and independence in mathematical theories. Information and Control, 61(1):15–37, 1984.
- L. A. Levin. Forbidden information. J. ACM, 60(2), 2013.
- M. Schlosshauer. Decoherence. Springer Berlin, Heidelberg, 2010.
- W Zurek. Decoherence, einselection, and the quantum origins of the classical. Rev. Mod. Phys., 75:715–775, 2003.
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