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Time energy entropic uncertainty relations: an algebraic approach - PowerPoint PPT Presentation

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Time energy entropic uncertainty relations: an algebraic approach Christian Bertoni, Yuxiang Yang, Joseph Renes arXiv: 2001.00799 Structure of the talk Introduction: uncertainty relations Standard entropic uncertainty relations

  1. Time energy entropic uncertainty relations: an algebraic approach Christian Bertoni, Yuxiang Yang, Joseph Renes arXiv: 2001.00799

  2. Structure of the talk • Introduction: uncertainty relations • “Standard” entropic uncertainty relations and their operational motivations • An operational definition for time-energy entropic uncertainty relations • Results • A general method to prove entropic uncertainty relations • Conclusions

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 Uncertainty relations Heisenberg’s uncertainty principle 1 
 σ x σ p ≥ ~ 2 Robertson’s relation 2 � � 1 2 i h [ ˆ V , ˆ � � σ V σ W � W ] i � � � � [1] E. H. Kennard. Zur quantenmechanik einfacher bewegungstypen . Zeitschrift für Physik, 44(4):326– 352, Apr 1927. 
 [2] H.P . Robertson. The uncertainty principle . Phys. rev. 34:163-164, Jul 1929.

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