The rank-k numerical range has a close connection to the construction of quantum error correction code for a noisy quantum channel. For noisy quantum channel, a quantum error correcting code of dimension k exists if and only if the associated joint rank-k numerical range is non-empty. In this paper the notion of joint rank-k numerical range is generalized and some statements of [2011, Generaliz...

Tumor progression is supported by the lymphatic system which should be scanned efficiently for tumor staging as well as the enhanced therapeutic outcomes. Poor resolution and low sensitivity is a limitation of traditional lymphatic imaging modalities; thus new noninvasive approaches like nanocarriers, magnetic resonance imaging, positron-emission tomography, and quantum dots are advantageous. S...

A nonzero temperature generalization of the Fermi-Bose mapping theorem is used to study the exact quantum statistical dynamics of a one-dimensional gas of impenetrable bosons on a ring. We investigate the interference produced when an initially trapped gas localized on one side of the ring is released, split via an optical-dipole grating, and recombined on the other side of the ring. Nonzero te...

OBJECTIVES This study examined the associations among self-care or mobility limitations, use of assistive devices or personal help, and well-being while giving special attention to 3 dimensions of well-being and older adults' educational attainment. METHOD The analysis was based on 4,456 community-dwelling older adults with self-care or mobility limitations who completed interviews in the fir...

This article describes the prevalence, assessment, and treatment of, as well as characteristics associated with, mobility limitation in 343 residents with dementia in 45 assisted living facilities and nursing homes. Overall, 89% of residents had some degree of mobility limitation. Mobility limitation was associated with fewer behavioral symptoms, low fluid intake, professional assessment, and p...

BACKGROUND The association between low socioeconomic status and poor physical functioning has been well described; biomedical factors may play an important role in explaining these differences. This study examines the association between socioeconomic status and incident mobility limitation in well-functioning older adults, and seeks to determine whether this link could be explained by biomedic...

OBJECTIVES To examine gender and regional differences in health expectancies based on the measure of mobility. METHODS Health expectancies by gender and region were computed by Sullivan's method from the fourth Thai National Health Examination Survey (2009). A total of 9,210 older persons aged 60 years and older were included. Mobility limitation was defined as self-reporting of ability to pe...