---
res:
bibo_abstract:
- 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.@eng
bibo_authorlist:
- autoren_ansetzung:
- Reimann, Peter
- Reimann
- Peter Reimann
- Reimann, P
- Reimann, P.
- P Reimann
- P. Reimann
foaf_Person:
foaf_givenName: Peter
foaf_name: Reimann, Peter
foaf_surname: Reimann
foaf_workInfoHomepage: http://www.librecat.org/personId=70631
bibo_doi: 10.1007/s10955-008-9576-1
bibo_issue: '5'
bibo_volume: '132'
dct_date: 2008^xs_gYear
dct_identifier:
- UT:000258539900008
dct_isPartOf:
- http://id.crossref.org/issn/0022-4715
- http://id.crossref.org/issn/1572-9613
dct_language: eng
dct_publisher: SPRINGER@
dct_subject:
- measures
- Gaussian
- quantum statistical mechanics
- microcanonical density matrices
- quantum ensemble theory
dct_title: Typicality of pure states randomly sampled according to the Gaussian
adjusted projected measure@
...