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SUMMARY:A guide to one-to-one fermion–qubit mappings - Mitchell Chiew (U
 niversity of Cambridge)
DTSTART:20240502T110000Z
DTEND:20240502T130000Z
UID:TALK223369@talks.cam.ac.uk
CONTACT:Lila Cadi Tazi
DESCRIPTION:Even on a quantum computer\, simulating fermionic dynamics via
  the second quantisation approach can be exponentially difficult. One of t
 he most important ingredients in any successful attempt is the judicious c
 hoice of a fermion-qubit mapping: the qubit representation\, as matrices\,
  of the fermionic creation and annihilation operators. For decades\, the J
 ordan-Wigner transformation has been the quantum scientist's fermion-qubit
  mapping of choice due to its elegance and simplicity. In more recent year
 s\, contenders such as the Bravyi-Kitaev and ternary tree transformations 
 have risen to challenge Jordan-Wigner\, claiming exponential improvements 
 at the cost of technical difficulty and a lack of physical intuition. Thes
 e are all examples of one-to-one fermion-qubit mappings.\n\nIn this presen
 tation\, we will go over our recent and upcoming work in revealing the tru
 e nature of one-to-one fermion-qubit mappings. In doing so\, we establish 
 a universal description for a mapping – a set of 2n anticommuting Pauli 
 operators – and derive all known fermion-qubit mappings as a result\, wh
 ile also discovering new mappings which outperform the existing ones in me
 trics of real-world interest. ​\n\nThe talk is based on this work: https
 ://quantum-journal.org/papers/q-2023-10-18-1145/
LOCATION:U202 Meeting room\, Department of Chemistry\, Cambridge
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