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Foundations of Quantum Mechanics in the Light of New Technology

A COARSE-GRAINED POSITION OPERATOR AND DECOHERENCE IN MACROSCOPIC SYSTEMS

Aya Nagasato, Tatsuo Akamine, T. Yoneda, Akio Motoyoshi

Published Oct 1, 2002• 0 citations
Publisher
DOI
10.1142/9789812776716_0059

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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, = O(V^0), which is much larger than that assumed in thermodynamics, = 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.