| 研究実績の概要 |
As promised in the submitted project plan, I finalized the main results of this project, as applications of the theory of quantum statistical comparison that I initiated in 2012: 1) a method to characterize quantum correlations in time and to verify whether an unknown device is genuinely quantum or not; 2) the characterization of a complete set of entropic conditions for quantum thermal processes.
The first main result, published on Physical Review X, provides an alternative approach to the very important problem of quantum device verification, and it utilizes a practically feasible method of verification based on semiquantum signaling games. Such games require a referee to ask the device some questions encoded on quantum states. Then, by observing the question-answer correlation so obtained, the referee can accept or reject the device as truly quantum or not. This verification method is particularly appealing for practical experiments because it only requires the referee to prepare quantum states, while the rest of the protocol can be completely untrusted. It hence constitutes what is known as a measurement device-independent verification protocol. As such, it is complementary to other verification protocols based on complexity theory.
The second main result provides a solution to the long standing open problem of characterizing quantum thermal processes in terms of a set of entropic conditions. Such conditions characterize quantum thermodynamics as a theory that simultaneously tracks "time" and "energy", which are known to be "complementary" (in a sense) quantities.
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