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CATEGORIES:CQIF Seminar
SUMMARY:The measurement postulates are redundant - Lluis M
 asanes\, London Centre for Nanotechnology\, Univer
 sity College London
DTSTART;TZID=Europe/London:20220120T141500
DTEND;TZID=Europe/London:20220120T151500
UID:TALK168023AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/168023
DESCRIPTION:The measurement postulates specify: the mathematic
 al structure of quantum measurements (Hermitian op
 erators\, POVMs)\, the formula for assigning outco
 me probabilities (Born’s rule) and the post-measur
 ement state-update rule. The rest of postulates ar
 e often referred to as “unitary quantum mechanics”
 . We characterise the family of theories consistin
 g of unitary quantum mechanics supplemented with n
 on-quantum measurement postulates\; and prove that
  any such theory has the following problematic fea
 ture: the set of mixed state of any finite-dimensi
 onal Hilbert space has infinite dimension\, which 
 makes the task of state estimation impossible. The
 refore\, if we disregard theories with this proble
 matic feature then the only measurement postulates
  compatible with unitary quantum mechanics are the
  good old quantum measurement postulates. This res
 ult reveals the true identity of the “measurement 
 postulates” as “measurement theorems”.
LOCATION:MR2 Centre for Mathematical Sciences
CONTACT:Damian Pitalua-Garcia
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