
Vincenzo FiorentinoUniversity of York · Department of Mathematics
Vincenzo Fiorentino
Master of Science
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Introduction
I am PhD student at the University of York. I am interested in quantum mechanics, in particular probing into its logical and mathematical foundations. I have worked on uncertainty relations for the support of quantum states and on investigating the role in quantum theory of the projection postulate.
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Publications
Publications (3)
A collapse-free version of quantum theory is introduced to study the role of the projection postulate. We assume "passive" measurements that do not update quantum states while measurement outcomes still occur probabilistically, in accordance with Born's rule. All other defining features of quantum theory, such as the Hilbert space setting, are reta...
Given a narrow signal over the real line, there is a limit to the localisation of its Fourier transform. In spaces of prime dimensions, Tao derived a sharp state-independent uncertainty relation which holds for the support sizes of a pure qudit state in two bases related by a discrete Fourier transform. We generalise Tao’s uncertainty relation to c...
Given a narrow signal over the real line, there is a limit to the localisation of its Fourier transform. In spaces of prime dimensions, Tao derived a sharp state-independent uncertainty relation which holds for the support sizes of a pure qudit state in two bases related by a discrete Fourier transform. We generalise Tao's uncertainty relation to c...