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http://hdl.handle.net/10016/6583
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| Title: | Simple proof of Page’s conjecture on the average entropy of a subsystem |
| Author(s): | Sánchez-Ruiz, Jorge |
| Publisher: | American Physical Society |
| Issued date: | Nov-1995 |
| Citation: | Physical Review E, 1995, vol. 52, n. 5, p. 5653-5655 |
| URI: | http://hdl.handle.net/10016/6583 |
| ISSN: | 1539-3755 (Print)
1550-2376 (Online) |
| DOI: | 10.1103/PhysRevE.52.5653 |
| Abstract: | It is shown that Page’s formula for the average entropy S(m,n) of a subsystem of dimension m ≤ n of a quantum system of Hilbert space dimension mn in a pure state [Phys. Rev. Lett. 71, 1291 (1993)] can be written in terms of the one-point correlation function of a Laguerre ensemble of random matrices. This leads to a proof of Page’s conjecture, Sm,n = tsum(k=n+1)mn1/k-m-1/2n, which is simpler than that given by Foong and Kanno [Phys. Rev. Lett. 72, 1148 (1994)]. |
| Review: | PeerReviewed |
| Publisher version: | http://dx.doi.org/10.1103/PhysRevE.52.5653 |
| Keywords: | [PACS] Quantum statistical mechanics |
| Appears in Collections: | DM - GAMA - Artículos de Revistas
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