dorsal/arxiv
View SchemaPersistence of Quantum Information
| Authors | Michael Schulz, Steffen Trimper |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0609221 |
| URL | https://arxiv.org/abs/quant-ph/0609221 |
| DOI | 10.1016/j.physleta.2007.04.026 |
Abstract
There is an increasing interest in the role of macroscopic environments to our understanding of the basics of quantum theory. The knowledge of the implications of the quantum theory to other theories, especially to the statistical mechanics and the domain of validity has captivated scientists from the beginning of quantum description. In such a context, the presence of an environment is commonly thought as entanglement, decohering and mixing properties of quantum system. Generically, an environment is assumed to be a noisy reservoir or a heat bath. Whereas in common interpretation of statistical mechanics the heat bath is unspecified, in quantum systems a heat bath can also provide an indirect interaction between otherwise totally decoupled subsystems and consequently a means to entangle them \cite{cdkl,dvclp,bfp}. In simple example for the entanglement between two qubits due to the interaction with a common heat bath has been explicitly shown in \cite{b}. Whereas in that paper the bath is described by a collection of harmonic oscillators, it seems to be more reasonable to specify the bath by stochastic forces represented by stochastic fields. From a more general point of view we expect the bath should be better described in a stochastic manner and not by deterministic forces. In the present paper we consider a two level system (qubits) which are able to perform flip processes by a coupling to classical stochastic fields. Thus we bridge the gap between quantum and classical probability theory. This problem is related to many other questions of quantum optics and quantum electronics where quantum statistical aspects arising from the intrinsic quantum character of the system while the possible time-dependence of system parameters may be interpreted as the influence of classical thermal fluctuations.
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"abstract": "There is an increasing interest in the role of macroscopic environments to\nour understanding of the basics of quantum theory. The knowledge of the\nimplications of the quantum theory to other theories, especially to the\nstatistical mechanics and the domain of validity has captivated scientists from\nthe beginning of quantum description. In such a context, the presence of an\nenvironment is commonly thought as entanglement, decohering and mixing\nproperties of quantum system. Generically, an environment is assumed to be a\nnoisy reservoir or a heat bath. Whereas in common interpretation of statistical\nmechanics the heat bath is unspecified, in quantum systems a heat bath can also\nprovide an indirect interaction between otherwise totally decoupled subsystems\nand consequently a means to entangle them \\cite{cdkl,dvclp,bfp}. In simple\nexample for the entanglement between two qubits due to the interaction with a\ncommon heat bath has been explicitly shown in \\cite{b}. Whereas in that paper\nthe bath is described by a collection of harmonic oscillators, it seems to be\nmore reasonable to specify the bath by stochastic forces represented by\nstochastic fields. From a more general point of view we expect the bath should\nbe better described in a stochastic manner and not by deterministic forces. In\nthe present paper we consider a two level system (qubits) which are able to\nperform flip processes by a coupling to classical stochastic fields. Thus we\nbridge the gap between quantum and classical probability theory. This problem\nis related to many other questions of quantum optics and quantum electronics\nwhere quantum statistical aspects arising from the intrinsic quantum character\nof the system while the possible time-dependence of system parameters may be\ninterpreted as the influence of classical thermal fluctuations.",
"arxiv_id": "quant-ph/0609221",
"authors": [
"Michael Schulz",
"Steffen Trimper"
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"doi": "10.1016/j.physleta.2007.04.026",
"title": "Persistence of Quantum Information",
"url": "https://arxiv.org/abs/quant-ph/0609221"
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