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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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The abstract, sentence by sentence
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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| 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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