Seminar: Dr Mária Kieferová, UTS QSI

Techniques for preparing eigenstates of fermionic Hamiltonians
One of the most important applications of quantum simulation is the Hamiltonian simulation-based solution of the electronic structure problem. The ability to accurately model ground states of fermionic systems will have significant implications for many areas of chemistry and materials science, and could enable the in silico design of new solar cells, batteries, catalysts and pharmaceuticals.  

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Title:  Techniques for preparing eigenstates of fermionic Hamiltonians

Speaker:  Dr Mária Kieferová

Abstract: 
I will present two techniques that lower the requirements of eigenstate
preparation on a fault-tolerant quantum computer. The first technique
improves the antisymmetrization procedure necessary for preparing
fermionic eigenstates in the first quantization. We report a
polylogarithmic-depth quantum algorithm for antisymmetrizing wave
functions. Antisymmetrization is a necessary step for simulations of
fermions in the first quantization.

The second one is a method for efficiently simulating time-dependent
Hamiltonian dynamics. Our approach is based on approximating the
truncated Dyson series of the evolution operator, extending an earlier
algorithm for simulating time-independent Hamiltonians. The resource
cost of our simulation algorithm retains the optimal logarithmic
dependence on the inverse of the desired precision.

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