dorsal/arxiv
View SchemaRenormalization Group and Quantum Information
| Authors | Jose Gaite |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0604186 |
| URL | https://arxiv.org/abs/quant-ph/0604186 |
| DOI | 10.1088/0305-4470/39/25/S13 |
| Journal | J.Phys.A39:7993-8006,2006 |
Abstract
The renormalization group is a tool that allows one to obtain a reduced description of systems with many degrees of freedom while preserving the relevant features. In the case of quantum systems, in particular, one-dimensional systems defined on a chain, an optimal formulation is given by White's "density matrix renormalization group". This formulation can be shown to rely on concepts of the developing theory of quantum information. Furthermore, White's algorithm can be connected with a peculiar type of quantization, namely, angular quantization. This type of quantization arose in connection with quantum gravity problems, in particular, the Unruh effect in the problem of black-hole entropy and Hawking radiation. This connection highlights the importance of quantum system boundaries, regarding the concentration of quantum states on them, and helps us to understand the optimal nature of White's algorithm.
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"abstract": "The renormalization group is a tool that allows one to obtain a reduced\ndescription of systems with many degrees of freedom while preserving the\nrelevant features. In the case of quantum systems, in particular,\none-dimensional systems defined on a chain, an optimal formulation is given by\nWhite\u0027s \"density matrix renormalization group\". This formulation can be shown\nto rely on concepts of the developing theory of quantum information.\nFurthermore, White\u0027s algorithm can be connected with a peculiar type of\nquantization, namely, angular quantization. This type of quantization arose in\nconnection with quantum gravity problems, in particular, the Unruh effect in\nthe problem of black-hole entropy and Hawking radiation. This connection\nhighlights the importance of quantum system boundaries, regarding the\nconcentration of quantum states on them, and helps us to understand the optimal\nnature of White\u0027s algorithm.",
"arxiv_id": "quant-ph/0604186",
"authors": [
"Jose Gaite"
],
"categories": [
"quant-ph",
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"doi": "10.1088/0305-4470/39/25/S13",
"journal_ref": "J.Phys.A39:7993-8006,2006",
"title": "Renormalization Group and Quantum Information",
"url": "https://arxiv.org/abs/quant-ph/0604186"
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