dorsal/arxiv
View SchemaStability of quantum states of finite macroscopic systems
| Authors | Akira Shimizu, Takayuki Miyadera, Akihisa Ukena |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0202096 |
| URL | https://arxiv.org/abs/quant-ph/0202096 |
| DOI | 10.1142/9789812704412_0004 |
Abstract
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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"abstract": "We study the stabilities of quantum states of macroscopic systems, against\nnoises, against perturbations from environments, and against local\nmeasurements. We show that the stabilities are closely related to the cluster\nproperty, which describes the strength of spatial correlations of fluctuations\nof local observables, and to fluctuations of additive operators. The present\ntheory has many applications, among which we discuss the mechanism of phase\ntransitions in finite systems and quantum computers with a huge number of\nqubits.",
"arxiv_id": "quant-ph/0202096",
"authors": [
"Akira Shimizu",
"Takayuki Miyadera",
"Akihisa Ukena"
],
"categories": [
"quant-ph",
"cond-mat.stat-mech",
"hep-th"
],
"doi": "10.1142/9789812704412_0004",
"title": "Stability of quantum states of finite macroscopic systems",
"url": "https://arxiv.org/abs/quant-ph/0202096"
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