Stability of quantum states of finite macroscopic systems

Details Stability of quantum states of finite macroscopic systems Stability of quantum states of finite macroscopic systems

2002-02-19

arxiv.org/abs/quant-ph/0202096v2

Physics

Quantum Physics

Proceedings of the Japan-Italy Joint Waseda Workshop on "Fundamental Problems in Quantum Mechanics", 27-29 September, 2001, To

Scientific paper

We study the stabilities of quantum states of macroscopic systems, against noises, against perturbations from environments, and against local measurements. We show that the stabilities are closely related to the cluster property, which describes the strength of spatial correlations of fluctuations of local observables, and to fluctuations of additive operators. The present theory has many applications, among which we discuss the mechanism of phase transitions in finite systems and quantum computers with a huge number of qubits.

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