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SUMMARY:Quantum Reference Frames Perspectives on Holographic Codes
DTSTART:20251112T090000Z
DTEND:20251112T100000Z
DTSTAMP:20260905T023700Z
UID:indico-event-49261@agenda.infn.it
DESCRIPTION:Speakers: Luca Ciceri (Okinawa Institute for Science and Techn
 ology)\n\nHolography\, quantum reference frames and quantum error correcti
 on are three distinct yet connected research areas in physics. A dictionar
 y between stabiliser quantum codes and ideal quantum reference frames has 
 been recently formalised. In this work we apply it to holographic codes. W
 e challenge their interpretation as discrete toy models of a quantum gravi
 ty theory by looking for analogies between the quantum reference frames em
 erging from the code structure and boundary dressings. This approach is al
 so beneficial to a deeper understanding of boundary quantum reference fram
 es in holography\, since this is not well appreciated in the literature. T
 o achieve this\, we leverage the quantum LEGO formalism. This allows us to
  describe the structure of holographic codes by focusing on how individual
  tensors are contracted together. By providing the interpretation of contr
 action as a quantum reduction map we connect this formalism to gauge theor
 ies\, understanding contractions as partial gauge fixings. Using the inver
 se reduction map we also complete the quantum LEGO formalism by describing
  how tensors are cut. Thanks to this result\, we pave the way for the anal
 ysis of how ideal quantum reference frames transform when tensors are glue
 d together. Our preliminary work in this direction shows that it is always
  possible to find a quantum reference frame for the contracted tensors\, p
 rovided knowledge of the reference frames before contraction. These result
 s provide a solid base to advance the analysis of quantum reference frames
  in holographic codes and their comparison with boundary dressings\, as we
 ll as understanding the relation with their continuum counterparts.\n\nhtt
 ps://agenda.infn.it/event/49261/
LOCATION:Aula Galileo
URL:https://agenda.infn.it/event/49261/
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