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Decoherence of anomalously-fluctuating states of finite macroscopic systems

Quantum Physics · Submitted 18 Sep 2001

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim By making full use of the locality, we show, starting from Hamiltonians of macroscopic degrees of freedom, that such states decohere at anomalously fast rates when they are weakly perturbed from environments.

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arXiv IDquant-ph/0109082 (version 1)
Pith IDBRHE5S3Z, Pith's permanent record of this paper and its review
CitationAkihisa Ukena (Department of Basic Science, Akira Shimizu, Takayuki Miyadera, University of Tokyo). "Decoherence of anomalously-fluctuating states of finite macroscopic systems." arXiv:quant-ph/0109082 (2001). https://pith.science/paper/BRHE5S3Z
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What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.13 · human participants 0.01 · controlled comparison 0.10 · randomized assignment 0.01 · states quantitative result 0.63 · compares with prior results 0.37 · mentions code or data availability 0.02.

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arXiv listing abstract v1. Results and the main claim are underlined; .

In quantum systems of a macroscopic size V, such as interacting many particles and quantum computers with many qubits, there exist pure states such that fluctuations of some intensive operator A is anomalously large, <\delta A^2> = O(V^0), which is much larger than that assumed in thermodynamics, <\delta A^2> = O(1/V). By making full use of the locality, we show, starting from Hamiltonians of macroscopic degrees of freedom, that such states decohere at anomalously fast rates when they are weakly perturbed from environments.

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#sentencerolethe authors' own workstates the main conclusionstrength
s0 In quantum systems of a macroscopic size V, such as interacting many particles and quantum computers with many qubits, there exist pure states such that fluctuations of some intensive operator A is anomalously large, <\delta A^2> = O(V^0), which is much larger than that assumed in thermodynamics, <\delta A^2> = O(1/V). background 1.00 0.15 0.06 asserted 0.98
s1 By making full use of the locality, we show, starting from Hamiltonians of macroscopic degrees of freedom, that such states decohere at anomalously fast rates when they are weakly perturbed from environments. result 0.83 0.94 0.88 asserted 1.00

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Original abstract

In quantum systems of a macroscopic size V, such as interacting many particles and quantum computers with many qubits, there exist pure states such that fluctuations of some intensive operator A is anomalously large, <\delta A^2> = O(V^0), which is much larger than that assumed in thermodynamics, <\delta A^2> = O(1/V). By making full use of the locality, we show, starting from Hamiltonians of macroscopic degrees of freedom, that such states decohere at anomalously fast rates when they are weakly perturbed from environments.

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