Corpus ID: 236034197

Deriving a kinetic uncertainty relation for piecewise deterministic processes

  title={Deriving a kinetic uncertainty relation for piecewise deterministic processes},
  author={Fei Liu},
From the perspective of Markovian piecewise deterministic processes (PDPs), we investigate the derivation of a kinetic uncertainty relation (KUR), which was originally proposed in Markovian open quantum systems. First, stationary distributions of classical PDPs are explicitly constructed. Then, a tilting method is used to derive a rate functional of large deviations. Finally, based on an improved approximation scheme, we recover the KUR. These classical results are directly extended to the open… Expand

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