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SUMMARY:Complexity beyond entanglement - magic of many-body systems - Marc
 ello Dalmonte (ICTP Trieste)
DTSTART:20250804T100000Z
DTEND:20250804T111500Z
UID:TALK234883@talks.cam.ac.uk
CONTACT:Bo Peng
DESCRIPTION:Driven by groundbreaking experimental advances\, quantum matte
 r is currently entering the era of quantum error correction - where elemen
 tary computations can be demonstrated in a fault-tolerant manner. From a m
 any-body theory viewpoint\, these developments motivate the question: what
  are states that are challenging to realize in the presence of error corre
 ction? Entanglement alone is not informative about state complexity\, and 
 in fact\, it is a free resource in such situations. In this talk\, we will
  tackle quantum state complexity of many-body systems under the lens of no
 n-stabilizerness - also known as magic. Magic quantifies the difficulty of
  realizing states in most error corrected codes\, and is thus of fundament
 al practical importance. However\, very little is known about its signific
 ance to many-body phenomena. I will start the seminar by giving a short re
 view on magic in spin systems\, with a focus on quantities that can be use
 d to compute it - stabilizer Renyi entropies and robustness of magic. The\
 , I shall present method(s) to measure magic in tensor network simulations
 \, and illustrate a series of applications to many body systems\, includin
 g its relevance in critical matter and gauge theories\, and its relations 
 to entanglement. These results indicate that a large amount of quantum res
 ources are required to generate interesting many-body phenomena under the 
 assumption of error correction\; at the same time\, a picture emerges wher
 e error correction is - unexpectedly - intimately tied to various forms of
  correlated quantum matter\, in a universal manner.
LOCATION:Seminar Room 3\, RDC
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