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X-WR-CALNAME:[ICQ] Anirudh Krishna (IBM) Tradeoffs between connectivity and
  codes
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TZUNTIL:20260329T010000Z
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DTSTART:20231029T030000
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DESCRIPTION:For quantum error-correcting codes to be realizable\, it is imp
 ortant that the qubits subject to the code constraints exhibit some form o
 f limited connectivity. The works of Bravyi & Terhal (BT) and Bravyi\, Pou
 lin & Terhal (BPT) established that geometric locality constrains code pro
 perties -- for instance [[n\,k\,d]] quantum codes defined by local checks 
 on the D-dimensional lattice must obey kd2/(D−1)≤O(n). Baspin and Krishna 
 studied the more general question of how the connectivity graph associated
  with a quantum code constrains the code parameters. These trade-offs appl
 y to a richer class of codes compared to the BPT and BT bounds\, which onl
 y capture geometrically-local codes. We extend and improve this work\, est
 ablishing a tighter dimension-distance trade-off as a function of the size
  of separators in the connectivity graph. We also obtain a distance bound 
 that covers all stabilizer codes with a particular separation profile\, ra
 ther than only LDPC codes.\n\nThis talk is based on the following papers:
 \n\n  1. https://arxiv.org/abs/2106.00765\n  2. https://arxiv.org/abs/2109
 .10982\n  3. https://arxiv.org/abs/2307.03283\n\n\nhttps://combalgo.labri.
 fr/pmwiki.php/Groupe/Info-Quantique
DTSTART;TZID=Europe/Paris:20240716T150000
DTEND;TZID=Europe/Paris:20240716T160000
LOCATION:Room 178
SEQUENCE:0
SUMMARY:[ICQ] Anirudh Krishna (IBM) Tradeoffs between connectivity and code
 s
TRANSP:OPAQUE
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