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UID:69d0e341d3433
DTSTART:20220728T080000Z
SEQUENCE:0
TRANSP:OPAQUE
LOCATION:ICFO Auditorium
SUMMARY:ICFO | JESSICA OLIVEIRA DE ALMEIDA
CLASS:PUBLIC
DESCRIPTION:Quantum optics experiments are currently the most advanced tech
 niques to under- stand\, verify and simulate quantum phenomena. However\, 
 to access all the perfor- mance available in quantum states of light\, one
  needs to address fundamental opera- tional limits. In quantum mechanics\,
  the measurement strategy affects the quantum state\; therefore\, to acces
 s all the degrees of freedom available in the quantum states\, one must im
 plement the optimal feasible measurement. In this thesis\, I investigate h
 ow to perform more precise measurements in optics\, namely slit-interferen
 ce and image resolution\, by exploiting the quantum mechanical nature of l
 ight.\nA complete description of multi-slit interference must include nonc
 lassical paths\, Feyn- man paths that goes through two or more slits. Prio
 r work with atomic interference in the double-slit experiment with cavitie
 s as which-way detectors\, has shown these paths to be experimentally inac
 cessible. In this thesis I show how such a setup can detect nonclassical p
 aths with 1% probability\, if different nonclassical paths are in- cluded.
  I also show how this setup can be used to erase and restore the coherence
  of the nonclassical paths. In the same chapter I demonstrate how the same
  setup could implement an exact measure of Born-rule violation. And in the
  last part I debate about the figures of merit in the literature to test t
 he Born-rule.\nDuring more than one century\, there was a fundamental limi
 t on image resolution\; due to diffraction effects in finite detectors ape
 rtures\, one cannot resolve two incoher- ent sources very close to each ot
 her\, e.g. stars. In the last decade\, the formalism of quantum informatio
 n allowed new proposals for sub-diffraction limited resolution or super-re
 solving measurements. Nevertheless\, these measurements are susceptible to
  misalignment. In this thesis\, I suggest alternative measurement strategi
 es to incorpo- rate misalignment in super-resolution imaging\, showing tha
 t sub-diffraction limited resolution is still possible. The proposed measu
 rements can be implemented using linear optical transformations and offer 
 an advantage in the case of estimation and discrimination of two incoheren
 t point sources allowing one to quantify the mitigat- ing effects of misal
 ignment. Moreover\, I propose a collective measurement strategy\, on two o
 r more photons\, that estimates the separation between two incoherent poin
 t sources and is oblivious to misalignment.\nIn an optics experiment\, the
  quantum state verification relies on tomography measure- ments on copies 
 of the prepared state. The error in tomography experiments is called confi
 dence region\, and it defines the region in which the quantum state is fou
 nd with the desired probability. There are different methods to compute co
 nfidence regions\; in this thesis\, I analyze the capability of the known 
 methods by resolving two nearby quantum states using a finite amount of me
 asurement data.\n&nbsp\;\nThesis Director: Prof Dr. Maciej Lewenstein and 
 Michail Skoteiniotis
DTSTAMP:20260404T100905Z
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