Provider: Ingenta Connect
Database: Ingenta Connect
Content: application/x-research-info-systems
TY - ABST
AU - Jupp, Peter E.
AU - Kim, Peter T.
AU - Koo, Ja‐Yong
AU - Pasieka, Aron
TI - Testing quantum states for purity
JO - Journal of the Royal Statistical Society: Series C (Applied Statistics)
PY - 2012-11-01T00:00:00///
VL - 61
IS - 5
SP - 753
EP - 763
N2 -
**Summary. ** The simplest states of finite quantum systems are the pure states. The paper is motivated by the need to test statistically whether or not a given physical state is pure. Because the pure states lie in the boundary of the set of all states, the usual regularity
conditions that justify the standard large sample approximations to the null distributions of the deviance and the score statistic are not satisfied. For a large class of quantum experiments that produce Poisson count data, the paper uses an enlargement of the parameter space of all states
to develop likelihood ratio and score tests of purity. The asymptotic null distributions of the corresponding statistics are *χ*
^{2}. The tests are illustrated by the analysis of some quantum experiments involving unitarily correctable codes.
UR - http://www.ingentaconnect.com/content/bpl/rssc/2012/00000061/00000005/art00005
M3 - doi:10.1111/j.1467-9876.2012.01040.x
UR - http://dx.doi.org/10.1111/j.1467-9876.2012.01040.x
ER -