One-Shot Yield-Cost Relations in General Quantum Resource Theories

@article{Takagi2022OneShotYR,
  title={One-Shot Yield-Cost Relations in General Quantum Resource Theories},
  author={Ryuji Takagi and Bartosz Regula and Mark M. Wilde},
  journal={PRX Quantum},
  year={2022}
}
Although itis wellknown that the amount of resources that can be asymptotically distilledfrom a quantum state orchanneldoesnotexceedtheresourcecostneededtoproduceit, thecorrespondingrelationinthenon-asymptotic regime hitherto has not been well understood. Here, we establish a quantitative relation between the one-shot distillable resource yield and dilution cost in terms of transformation errors involved in these processes. Notably, our bound is applicable to quantum state and channel… 

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