Southwest Quantum Information and Technology

Adiabatically implemented quantum imaginary time evolution

Presenting Author: Kasra Hejazi, California Institute of Technology
Contributing Author(s): Garnet Kin-Lic Chan

An adiabatic state preparation method is introduced which implements quantum imaginary time evolution under the Hamiltonian of a system. This method, unlike the conventional quantum imaginary time algorithm, does not require quantum state tomography during its runtime. The adiabatic Hamiltonian for this purpose, that is used to implement the adiabatic time evolution, is found by solving a differential equation. Some numerical results regarding the procedure in one dimension are presented. It is, in particular, shown numerically that it is possible to have a polynomially scaling adiabatic runtime with the system size.

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(Session 5 : Thursday from 5:00 pm - 7:00 pm)