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DTSTART:20231105T060000
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DTSTART;TZID=America/Toronto:20240501T120000
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URL:https://uwaterloo.ca/institute-for-quantum-computing/events/iqc-student
 -seminar-featuring-alexander-frei
LOCATION:QNC - Quantum Nano Centre 200 University Avenue West Room QNC 1201
  Waterloo ON N2L 3G1 Canada
SUMMARY:IQC Student Seminar Featuring Alexander Frei
CLASS:PUBLIC
DESCRIPTION:FERMIONIC ENCODINGS: BK SUPERFAST\, TERNARY TREES\, AND EVEN FE
 RMIONIC\nENCODINGS\n\nQuantum-Nano Centre\, 200 University Ave West\, Room
  QNC 1201 Waterloo\,\nON CA N2L 3G1\n\nWe give an introduction to fermioni
 c encoding schemes applicable in\nthe context of quantum simulation of fer
 mionic systems in condensed\nmatter physics\, lattice gauge theories\, and
  in quantum chemistry.\n \nFor this we will focus on the circuit depth ov
 erhead for a variety of\nconstructions of fermionic encodings\, more preci
 sely in terms of their\nweight given by the choice of encoding within the 
 Pauli group\, and as\nsuch also in terms of their circuit depth due to mul
 ti-qubit rotation\ngates.\n \nIn particular we will introduce the Fenwick
  tree encoding due to\nBravyi and Kitaev\, as well as an optimal all-to-al
 l encoding scheme in\nterms of ternary trees due to Jiang et al\, and put 
 those in\nperspective with the well-known fermionic encoding given by the\
 nJordan-Wigner transformation. Such encoding schemes of fermionic\nsystems
  with all-to-all connectivity become relevant especially in the\ncontext o
 f molecular simulation in quantum chemistry.\n \nWe then further discuss 
 the encoding of the algebra of even fermionic\noperators\, which becomes p
 articularly handy in the estimation of\nground state energies for complex 
 materials and their phase\ntransitions in condensed matter physics.\n \nI
 n particular\, we will introduce here the so-called Bravyi--Kitaev\nsuperf
 ast encoding for the algebra of even fermionic operators\, as\nwell as the
  compact encoding due to Klassen and Derby as a particular\nvariant thereo
 f. These encoding schemes require the further use of\nstabilizer subspaces
  and so of fault-tolerant encoding schemes for\ntheir practical implementa
 tion for the purpose of quantum simulation.\nWe then finish with a further
  improvement\, the so-called supercompact\nencoding\, due to Chen and Xu. 
 In particular\, we will focus here on its\ncode parameters (more precisely
  its encoding rate and code distance)\nand put those in perspective with t
 he previous compact encoding due to\nKlassen and Derby.\n \nThis talk is 
 meant as an expository talk on available encoding schemes\nfor fermionic s
 ystems\, together with their best practices for the\npurpose of quantum si
 mulations.
DTSTAMP:20260419T053353Z
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