scholarly journals Relation between instant and light-front formulations of quantum field theory

2021 ◽  
Vol 103 (10) ◽  
Author(s):  
W. N. Polyzou
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Light Front ◽  
Quantum Field

scholarly journals Light-Front Field Theory on Current Quantum Computers

Entropy ◽  
2021 ◽  
Vol 23 (5) ◽  
pp. 597
Author(s):  
Michael Kreshchuk ◽  
Shaoyang Jia ◽  
William Kirby ◽  
Gary Goldstein ◽  
James Vary ◽  
...  
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Nuclear Physics ◽  
Bound States ◽  
Quantum Computer ◽  
Relativistic Quantum ◽  
Quantum Algorithm ◽  
Light Front ◽  
Quantum Field Theories ◽  
Quantum Field

We present a quantum algorithm for simulation of the quantum field theory in light-front formulation and demonstrate how existing quantum devices can be used to study the structure of bound states in relativistic nuclear physics. Specifically, we apply the Variational Quantum Eigensolver algorithm to find the ground state of the light-front Hamiltonian obtained within the Basis Light-Front Quantization (BLFQ) framework. The BLFQ formulation of the quantum field theory allows one to readily import techniques developed for digital quantum simulation of quantum chemistry. This provides a method that can be scaled up to the simulation of full, relativistic quantum field theories in the quantum advantage regime. As an illustration, we calculate the mass, mass radius, decay constant, electromagnetic form factor, and charge radius of the pion on the IBM Vigo chip. This is the first time that the light-front approach to the quantum field theory has been used to enable simulation of a real physical system on a quantum computer.

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