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DTSTART:20220313T070000
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DTSTART:20211107T060000
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DTSTART;TZID=America/Toronto:20220928T120000
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URL:https://uwaterloo.ca/institute-for-quantum-computing/events/iqc-student
 -seminar-featuring-amit-anand
LOCATION:QNC - Quantum Nano Centre 200 University Avenue West QNC 1201 Wate
 rloo ON N2L 3G1 Canada
SUMMARY:IQC Student Seminar featuring Amit Anand
CLASS:PUBLIC
DESCRIPTION:QUANTUM CHAOS IN KICKED TOP\n\nQuantum-classical correspondence
  is of fundamental interest as it\nallows for computing and analysing the 
 quantum properties with respect\nto their classical counterparts. This hel
 ps us study the transition\nfrom the quantum to the classical. According t
 o the correspondence\nprinciple\, quantum mechanics should agree with clas
 sical mechanics in\nappropriate limits. In our first project\, we show tha
 t currently\navailable NISQ computers can be used for versatile quantum si
 mulations\nof chaotic systems. We introduce a classical-quantum hybrid app
 roach\nfor exploring the dynamics of the chaotic quantum kicked top (QKT) 
 on\na  universal quantum computer. The programmability of this approach\n
 allows us to experimentally explore the complete range of QKT\nchaoticity 
 parameter regimes inaccessible to previous studies.\nFurthermore\, the num
 ber of gates in our simulation does not increase\nwith the number of kicks
 \, thus making it possible to study the QKT\nevolution for arbitrary numbe
 r of kicks without fidelity loss. Using a\npublicly accessible NISQ comput
 er (IBMQ)\, we observe periodicities in\nthe evolution of the 2-qubit QKT\
 , as well as signatures of chaos in\nthe time-averaged 2-qubit entanglemen
 t. We also demonstrate a\nconnection between entanglement and delocalizati
 on in the 2-qubit QKT\,\nconfirming theoretical predictions. However\, the
  connection between\nclassical and quantum mechanics is not straightforwar
 d\, especially in\nchaotic systems. The question of why a chaotic system\,
  in certain\nsituations\, breaks the correspondence principle remains one 
 of the\nopen questions. Nevertheless\, the breaking of Quantum classical\n
 correspondence for a large system i.e.\, the large value of j (but\nfinite
 )\, is surprising. It suggests that the system never behaves\nclassically 
 in certain situations\, irrespective of the system size. It\nis also worth
  exploring this strange behavior from an experimental\npoint of view\, as 
 it will decide the parameters of the experimental\nsetup designed for stud
 ying Quantum Chaos.
DTSTAMP:20260408T054728Z
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