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UID:952b17b9-f6b2-4948-858a-e206e6c9afc9
X-WR-CALNAME:[ICQ] Maxime Cautrès (LIG) Vertex-minor universal graphs for g
 enerating entangled quantum subsystems
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TZUNTIL:20251026T010000Z
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DTSTART:20231029T030000
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RDATE:20241027T030000
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DTSTART:20240331T020000
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UID:952b17b9-f6b2-4948-858a-e206e6c9afc9
DTSTAMP:20260408T105850Z
CLASS:PUBLIC
DESCRIPTION:We study the notion of k-stabilizer universal quantum state\, t
 hat is\, an n-qubit quantum state\, such that it is possible to induce any
  stabilizer state on any k qubits\, by using only local operations and cla
 ssical communications. These states generalize the notion of k-pairable st
 ates introduced by Bravyi et al.\, and can be studied from a combinatorial
  perspective using graph states and k-vertex-minor universal graphs. First
 \, we demonstrate the existence of k-stabilizer universal graph states tha
 t are optimal in size with n=Θ(k2) qubits. We also provide parameters for 
 which a random graph state on Θ(k2) qubits is k-stabilizer universal with 
 high probability. Our second contribution consists of two explicit constru
 ctions of k-stabilizer universal graph states on n=O(k4) qubits. Both rely
  upon the incidence graph of the projective plane over a finite field ?q. 
 This provides a major improvement over the previously known explicit const
 ruction of k-pairable graph states with n=O(23k)\, bringing forth a new an
 d potentially powerful family of multipartite quantum resources. Based on 
 https://arxiv.org/abs/2402.06260.\n\n\nhttps://combalgo.labri.fr/pmwiki.ph
 p/Groupe/Info-Quantique
DTSTART;TZID=Europe/Paris:20240326T150000
DTEND;TZID=Europe/Paris:20240326T160000
LOCATION:Room 076
SEQUENCE:0
SUMMARY:[ICQ] Maxime Cautrès (LIG) Vertex-minor universal graphs for genera
 ting entangled quantum subsystems
TRANSP:OPAQUE
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