  Coronavirus disease 2019 (COVID-19) is an ongoing pandemic infectious disease
outbreak that has significantly harmed and threatened the health and lives of
millions or even billions of people. COVID-19 has also negatively impacted the
social and economic activities of many countries significantly. With no
approved vaccine available at this moment, extensive testing of COVID-19
viruses in people are essential for disease diagnosis, virus spread
confinement, contact tracing, and determining right conditions for people to
return to normal economic activities. Identifying people who have antibodies
for COVID-19 can also help select persons who are suitable for undertaking
certain essential activities or returning to workforce. However, the
throughputs of current testing technologies for COVID-19 viruses and antibodies
are often quite limited, which are not sufficient for dealing with COVID-19
viruses' anticipated fast oscillating waves of spread affecting a significant
portion of the earth's population.
  In this paper, we propose to use compressed sensing (group testing can be
seen as a special case of compressed sensing when it is applied to COVID-19
detection) to achieve high-throughput rapid testing of COVID-19 viruses and
antibodies, which can potentially provide tens or even more folds of speedup
compared with current testing technologies. The proposed compressed sensing
system for high-throughput testing can utilize expander graph based compressed
sensing matrices developed by us \cite{Weiyuexpander2007}.
