Binary decisions guide our everyday lives in situations both
critical and trivial. The choices made by politicians and
physicians may have consequential implications on a global or
individual scale. Perhaps less consequential is whether or not we
choose to carry an umbrella on a cloudy day. Any choice made
inherently involves a conscious, subconscious, or formal tradeoff
between benefits and detriments.This monograph develops and
presents a framework for binary hypothesis testing as it applies to
both the classical and quantum mechanical environments. The authors
set the scene by first describing separately the operating
characteristics associated with classical binary hypothesis testing
and those within quantum mechanics. They proceed to describe in
detail in subsequent chapters how quantum measurements that employ
redundant, or overcomplete, representations of the state of the
system being measured can be used.Written in a tutorial style,
readers from both classical and quantum backgrounds will find this
an enlightening treatise on the topic. Examples and problems are
used throughout to enable the reader to readily grasp the new
concepts and to further their own understanding. This monograph is
a comprehensive and accessible overview of a complex problem for
students and researchers in signal processing.
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