The authors introduce a quantum empirical operator and use it to prove a universal achievability result for composite quantum hypothesis testing.
The authors introduce a new quantum empirical operator and use it to prove a universal achievability result for composite quantum hypothesis testing, which extends previous work in the field.
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Applications
- →Quantum communication
- →Quantum computing
To understand this paper, make sure you know these concepts first:
- Understanding of classical information theory, quantum mechanics, and hypothesis testingfind papers →
Abstract
More Like ThisThe method of types is a fundamental tool in classical information theory, with applications ranging from composite hypothesis testing and universal source coding to the capacity of arbitrarily varying channels. In this work we introduce an empirical operator acting as a quantum analog of the empirical distribution. We show that this empirical operator satisfies combinatorial and large-deviation bounds, which in combination describe a quantum method of types. As an application, we use this quantum method of types to prove a universal achievability result for composite quantum hypothesis testing.