Initial State Preparation for Simulation of Quantum Field Theories on a Quantum Computer

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" Initial State Preparation for Simulation of Quantum Field Theories on a Quantum Computer "
Hamed Moosavian, Ali Childs, Andrew

Document Type	:	Latin Dissertation
Language of Document	:	English
Record Number	:	1054018
Doc. No	:	TL53135
Main Entry	:	Hamed Moosavian, Ali
Title & Author	:	Initial State Preparation for Simulation of Quantum Field Theories on a Quantum Computer\ Hamed Moosavian, AliChilds, Andrew
College	:	University of Maryland, College Park
Date	:	2020
Degree	:	Ph.D.
student score	:	2020
Note	:	115 p.
Abstract	:	In this thesis, we begin by reviewing some of the most important Hamiltonian simulation algorithms that are applied in simulation of quantum field theories. Then we focus on state preparation which has been the slowest subroutine in previously known algorithms. We present two distinct methods that improve upon prior results. The first method utilizes classical computational tools such as Density Matrix Renormalization Group to produce an efficient quantum algorithm for simulating fermionic quantum field theories in 1+1 dimensions. The second method presented is a heuristic algorithm that can prepare the vacuum of fermionic systems in more general cases and more efficiently than previous methods. With our last method, state preparation is no longer the bottleneck, as its runtime has the same asymptotic scaling with the desired precision as the remainder of the simulation algorithm. We then numerically demonstrate the effectiveness of this last method for the 1+1 dimensional Gross-Neveu model.
Descriptor	:	Physics
	:	Quantum physics
Added Entry	:	Childs, Andrew
Added Entry	:	University of Maryland, College Park