[{"_id":"1586626","page":"921-935","type":"journal_article","keyword":["measures","Gaussian","quantum statistical mechanics","microcanonical density matrices","quantum ensemble theory"],"external_id":{"isi":["000258539900008"]},"language":[{"iso":"eng"}],"publication_status":"published","quality_controlled":"1","intvolume":" 132","author":[{"autoren_ansetzung":["Reimann, Peter","Reimann","Peter Reimann","Reimann, P","Reimann, P.","P Reimann","P. Reimann"],"id":"70631","first_name":"Peter","full_name":"Reimann, Peter","last_name":"Reimann"}],"date_created":"2010-04-26T09:43:38Z","accept":"1","issue":"5","publication_identifier":{"eissn":["1572-9613"],"issn":["0022-4715"]},"volume":"132","id":"1586626","article_type":"original","isi":1,"doi":"10.1007/s10955-008-9576-1","year":"2008","citation":{"lncs":" Reimann, P.: Typicality of pure states randomly sampled according to the Gaussian adjusted projected measure. JOURNAL OF STATISTICAL PHYSICS. 132, 921-935 (2008).","dgps":"Reimann, P. (2008). Typicality of pure states randomly sampled according to the Gaussian adjusted projected measure. *JOURNAL OF STATISTICAL PHYSICS*, *132*(5), 921-935. SPRINGER. doi:10.1007/s10955-008-9576-1.

","frontiers":"Reimann, P. (2008). Typicality of pure states randomly sampled according to the Gaussian adjusted projected measure. *JOURNAL OF STATISTICAL PHYSICS* 132, 921-935.","ieee":" P. Reimann, “Typicality of pure states randomly sampled according to the Gaussian adjusted projected measure”, *JOURNAL OF STATISTICAL PHYSICS*, vol. 132, 2008, pp. 921-935.","mla":"Reimann, Peter. “Typicality of pure states randomly sampled according to the Gaussian adjusted projected measure”. *JOURNAL OF STATISTICAL PHYSICS* 132.5 (2008): 921-935.","bio1":"Reimann P (2008)

Typicality of pure states randomly sampled according to the Gaussian adjusted projected measure.

JOURNAL OF STATISTICAL PHYSICS 132(5): 921-935.","harvard1":"Reimann, P., 2008. Typicality of pure states randomly sampled according to the Gaussian adjusted projected measure. *JOURNAL OF STATISTICAL PHYSICS*, 132(5), p 921-935.","wels":"Reimann, P. (2008): Typicality of pure states randomly sampled according to the Gaussian adjusted projected measure *JOURNAL OF STATISTICAL PHYSICS*,132:(5): 921-935.","apa":"Reimann, P. (2008). Typicality of pure states randomly sampled according to the Gaussian adjusted projected measure. *JOURNAL OF STATISTICAL PHYSICS*, *132*(5), 921-935. doi:10.1007/s10955-008-9576-1","default":"Reimann P (2008)

*JOURNAL OF STATISTICAL PHYSICS* 132(5): 921-935.","ama":"Reimann P. Typicality of pure states randomly sampled according to the Gaussian adjusted projected measure. *JOURNAL OF STATISTICAL PHYSICS*. 2008;132(5):921-935.","apa_indent":"Reimann, P. (2008). Typicality of pure states randomly sampled according to the Gaussian adjusted projected measure. *JOURNAL OF STATISTICAL PHYSICS*, *132*(5), 921-935. doi:10.1007/s10955-008-9576-1

","chicago":"Reimann, Peter. 2008. “Typicality of pure states randomly sampled according to the Gaussian adjusted projected measure”. *JOURNAL OF STATISTICAL PHYSICS* 132 (5): 921-935.

","aps":" P. Reimann, Typicality of pure states randomly sampled according to the Gaussian adjusted projected measure, JOURNAL OF STATISTICAL PHYSICS **132**, 921 (2008).","angewandte-chemie":"P. Reimann, “Typicality of pure states randomly sampled according to the Gaussian adjusted projected measure”, *JOURNAL OF STATISTICAL PHYSICS*, **2008**, *132*, 921-935."},"status":"public","publication":"JOURNAL OF STATISTICAL PHYSICS","department":[{"_id":"29105470"}],"first_author":"Reimann, Peter","date_submitted":"2010-12-22T13:09:41Z","date_updated":"2018-07-24T12:58:38Z","publisher":"SPRINGER","abstract":[{"lang":"eng","text":"Consider a mixed quantum mechanical state, describing a statistical ensemble in terms of an arbitrary density operator rho of low purity, tr rho(2) << 1, and yielding the ensemble averaged expectation value tr(rho A) for any observable A. Assuming that the given statistical ensemble rho is generated by randomly sampling pure states vertical bar psi > according to the corresponding so-called Gaussian adjusted projected measure (Goldstein et al. in J. Stat. Phys. 125:1197, 2006), the expectation value is shown to be extremely close to the ensemble average tr(rho A) for the overwhelming majority of pure states vertical bar psi > and any experimentally realistic observable A. In particular, such a 'typicality' property holds whenever the Hilbert space H of the system contains a high dimensional subspace H+ subset of H with the property that all vertical bar psi > epsilon H+ are realized with equal probability and all other vertical bar psi > epsilon H are excluded."}],"title":"Typicality of pure states randomly sampled according to the Gaussian adjusted projected measure"}]