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SUMMARY:[Hybrid RBRC seminar] Investigating SYK model with quantum compute
rs
DTSTART;VALUE=DATE-TIME:20240328T163000Z
DTEND;VALUE=DATE-TIME:20240328T173000Z
DTSTAMP;VALUE=DATE-TIME:20240418T170800Z
UID:indico-event-22329@indico.bnl.gov
CONTACT:mkurian@bnl.gov\;rsufian1@bnl.gov
DESCRIPTION:Speakers: Muhammad Asaduzzaman (The University of Iowa)\n\n\nW
e study the Sachdev-Ye-Kitaev (SYK) model – an important toy model for q
uantum gravity on IBM’s superconducting qubit quantum computers. By usin
g a graph-coloring algorithm to minimize the number of commuting clusters
of terms in the qubitized Hamiltonian\, we find the circuit complexity of
the time evolution using the first-order Lie product formula for N Majoran
a fermions is O(N^5 J^2 t^2/ϵ) where J is the dimensionful coupling param
eter\, t is the evolution time\, and ϵ is the desired precision. This com
plexity is a significant improvement over existing results in the literatu
re.\n\nWith this improved resource requirement\, we perform the time evolu
tion for N = 6\, 8 using up to 340 two-qubit gates and perform different e
rror mitigation schemes on the noisy hardware results. We find good agreem
ent with the results obtained using exact diagonalization on classical com
puters\n\nand noiseless simulators. In particular\, we compute the return
probability to the vacuum state after time t and out-of-time order correla
tors (OTOC) which is a standard method of quantifying the chaotic nature o
f quantum many-body systems.\n\n\nhttps://indico.bnl.gov/event/22329/
LOCATION:2-160 ( https://bnl.zoomgov.com/j/1619458475?pwd=Z1VDdXVXcWF1eUhs
RDZObVJnME4rUT092-160)
URL:https://indico.bnl.gov/event/22329/
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