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SUMMARY:Non-unitary Trotter circuits for imaginary time evolution - Chiara
  Leadbeater\, University of Cambridge
DTSTART:20230503T133000Z
DTEND:20230503T140000Z
UID:TALK194140@talks.cam.ac.uk
CONTACT:Lisa Masters
DESCRIPTION:We propose an imaginary time equivalent of the well-establishe
 d Pauli gadget primitive for Trotter-decomposed real time evolution on qua
 ntum circuits [1]. Imaginary time evolution (ITE) is widely used for obtai
 ning the ground state of a system on classical hardware. Near-term impleme
 ntations on quantum hardware rely on heuristics\, compromising their accur
 acy [2\,3]. As a result\, there is growing interest in the development of 
 more natively quantum algorithms. Since it is not possible to implement a 
 non-unitary gate deterministically\, we resort to the implementation of pr
 obabilistic imaginary time evolution (PITE) algorithms [4-6]\, which rely 
 on a unitary quantum circuit to simulate a block encoding of the ITE opera
 tor - that is\, they rely on successful ancillary measurements to evolve t
 he system non-unitarily. This scheme was tested on the transverse Ising mo
 del and the fermionic Hubbard model and is demonstrated to converge to the
  ground state of the system.\n\n[1] C. Leadbeater\, N. Fitzpatrick\, D. Mu
 ñoz Ramo\, and A. J. W. Thom\, (2023)\, arXiv: 2304.07917.\n[2] T. Jones\
 , S. Endo\, S. McArdle\, X. Yuan\, and S. C. Benjamin\, Physical Review A 
 99\, 10.1103/physreva.99.062304 (2019).\n[3] M. Motta\, C. Sun\, A. T. K. 
 Tan\, M. J. O’Rourke\, E. Ye\, A. J. Minnich\, F. G. S. L. Brandão\, an
 d G. K.-L. Chan\, Nature Physics 16\, 205 (2020).\n[4] T. Liu\, J.-G. Liu\
 , and H. Fan\, Quantum Information Processing 20\, 10.1007/s11128-021-0314
 5-6 (2021).\n[5] G.-L. Zhang\, D. Liu\, and M.-H. Yung\, Scientific Report
 s 11\, 13795 (2021).\n[6] T. Kosugi\, Y. Nishiya\, H. Nishi\, and Y.-i. Ma
 tsushita\, Phys. Rev. Research 4\, 033121 (2022).
LOCATION:Unilever Lecture Theatre\, Yusuf Hamied Department of Chemistry
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