BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:Gr.IV seminar: Donato Farina - "Convex optimization for quantum sc
 ience and technology"
DTSTART:20260311T150000Z
DTEND:20260311T160000Z
DTSTAMP:20260506T151100Z
UID:indico-event-50615@agenda.infn.it
DESCRIPTION:Convex optimization and\, in particular\, semidefinite program
 ming (SDP) represent fundamental multidisciplinary tools for science and e
 ngineering\, as they allow one to perform projections on convex sets and o
 btain certified bounds for quantities of interest. The scope of this prese
 ntation is to provide an overview of their usefulness in quantum informati
 on and many-body physics. \nIn open quantum systems\, projective methods 
 can regularize important master equations that lack complete positivity\, 
 replacing unphysical Choi states with their closest physical ones. This mi
 mics recent work on quantum process tomography (see [1] and references the
 rein)\, and enables preserving non-Markovian effects while improving the d
 escription of the transient dynamics [2]. \nFor many-body systems\, scala
 ble SDP approaches (NPA hierarchy) can bound ground-state properties\, and
  detect quantum phase transitions [3]. In open settings\, they enable cert
 ifying steady-state properties [4]\, with an efficacy demonstrated in equi
 librium and non-equilibrium thermodynamic configurations. Besides\, these 
 methods can be naturally enhanced leveraging information coming from acces
 sible measurements\, resulting in tighter confidence bounds [5-7]. \nAll 
 this highlights the relevance of convex optimization as a rigorous tool fo
 r quantum science and technology. In this regard\, we conclude with a disc
 ussion on the difference between estimating with an ansatz (e.g.\, using t
 ensor networks) and certifying with SDP methods the properties of many-bod
 y quantum systems\, clarifying how the two approaches provide complementar
 y information. \n[1] J. Barberà-Rodriguez\, L. Zambrano\, A. Acin\, and 
 D. Farina\, “Boosting projective methods for quantum process and detecto
 r tomography”\, Phys. Rev. Research 7\, 013208 (2025). \n[2] A. D’Abb
 ruzzo\, D. Farina\, and V. Giovannetti\, “Recovering Complete Positivity
  of Non-Markovian Quantum Dynamics with Choi-Proximity Regularization”\,
  Phys. Rev. X 14\, 031010 (2024). \n[3] D. Jansen\, D. Farina\, ...\, J. 
 Wang\, and A. Acín\, “Mapping phase diagrams of quantum spin systems th
 rough semidefinite-programming relaxations”\, Phys. Rev. Letters 136\, 0
 50401 (2026). \n[4] L. Mortimer\, D. Farina\, G. Di Bello\, D. Jansen\, A
 . Leitherer\, P. Mujal\, and A. Acin\, “Certifying steady-state properti
 es of open quantum systems”\, Phys. Rev. Research 7\, 033237 (2025). \n
 [5] L. Zambrano\, D. Farina\, E. Pagliaro\, M. M. Taddei\, and A. Acin\, 
 “Certification of quantum state functions under partial information”\,
  Quantum 8\, 1442 (2024). \n[6] L. Mortimer\, L. Zambrano\, A. Acín\, an
 d D. Farina\, “Bounding many-body properties under partial information a
 nd finite measurement statistics”\, arXiv preprint arXiv:2601.10408 (202
 6). \n[7] L. Zambrano\, T. Parella-Dilmé\, A. Acín\, and D. Farina\, 
 “Certification of quantum properties with imperfect measurements”\, ar
 Xiv preprint arXiv:2601.16570 (2026). \n\nhttps://agenda.infn.it/event/50
 615/
LOCATION:0M04
URL:https://agenda.infn.it/event/50615/
END:VEVENT
END:VCALENDAR