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arXiv:1302.6923 · Physics Letters A

Study of a quantum scattering process by means of entropic measures

Ricardo López‐Ruiz, Jaime Sañudo A

Published Aug 7, 2013• 5 citations
arXivHTMLPDF
DOI
10.1016/j.physleta.2013.07.057

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Heisenberg's original intuition was that there should be a tradeoff between measuring a particle's position with greater precision and disturbing its momentum. Rigorous formulations of this idea have primarily focused on the question of how well two complementary observables can be jointly measured. Here, we provide an alternative approach based on how enhancing the predictability of one observable necessarily disturbs a complementary one. The tradeoff refers to a clear operational scenario capturing the effect of the measurement process on a single quantum system. Moreover, our relation is expressed by entropic quantities with clear statistical meaning evading recent criticism directed at some previous formulations. We discuss the performance of our tradeoff relation for existing experimental setups involving qubit measurements performed in Vienna and Toronto, and show that our relation is perfectly tight for all measurement strengths in the Toronto setup.