# Quantum simulation of quantum field theory in the light-front formulation

@article{Kreshchuk2022QuantumSO, title={Quantum simulation of quantum field theory in the light-front formulation}, author={Michael Kreshchuk and William M. Kirby and Gary R. Goldstein and H. Beauchemin and Peter J. Love}, journal={Physical Review A}, year={2022} }

We develop quantum simulation algorithms based on the light-front formulation of relativistic quantum field theories. We analyze a simple theory in $1+1D$ and show how to compute the analogues of parton distribution functions of composite particles in this theory. Upon quantizing the system in light-front coordinates, the Hamiltonian becomes block diagonal. Each block approximates the Fock space with a certain harmonic resolution $K$, where the light-front momentum is discretized in $K$ steps…

## 27 Citations

Quantum simulation of quantum field theories as quantum chemistry

- PhysicsJournal of High Energy Physics
- 2020

Abstract
Conformal truncation is a powerful numerical method for solving generic strongly-coupled quantum field theories based on purely field-theoretic technics without introducing lattice…

Simulating hadronic physics on noisy intermediate-scale quantum devices using basis light-front quantization

- Physics
- 2020

The analogy between quantum chemistry and light-front quantum field theory, first noted by Kenneth G. Wilson, serves as motivation to develop light-front quantum simulation of quantum field theory.…

Variational Quantum Eigensolvers for Sparse Hamiltonians.

- PhysicsPhysical review letters
- 2021

VQE is extended to general sparse Hamiltonians and a decomposition of a fermionic second-quantized Hamiltonian into a number of one-sparse, self-inverse, Hermitian terms linear in the number of ladder operator monomials in the second-Quantized representation is provided.

Light-Front Field Theory on Current Quantum Computers

- PhysicsEntropy
- 2021

The Variational Quantum Eigensolver algorithm is applied to find the ground state of the light-front Hamiltonian obtained within the Basis Light-Front Quantization (BLFQ) framework to enable simulation of a real physical system on a quantum computer.

Snowmass White Paper: Quantum Computing Systems and Software for High-energy Physics Research

- Computer Science, Physics
- 2022

Challenges and opportunities are described for the focused development of algorithms, applications, software, hardware, and infrastructure to support both practical and theoretical applications of quantum computing to HEP problems within the next 10 years.

Wilson loops in the Hamiltonian formalism

- PhysicsPhysical Review D
- 2022

In a gauge theory, the gauge invariant Hilbert space is unchanged by the coupling to arbitrary local operators. In the presence of Wilson loops, though, the physical Hilbert space must be enlarged by…

Digital Quantum Simulation of the Schwinger Model and Symmetry Protection with Trapped Ions

- PhysicsPRX Quantum
- 2022

Tracking the dynamics of physical systems in real time is a prime application of quantum computers. Using a trapped-ion system with up to six qubits, we simulate the real-time dynamics of a lattice…

Digital Quantum Simulation of Open Quantum Systems Using Quantum Imaginary–Time Evolution

- PhysicsPRX Quantum
- 2022

Quantum simulation on emerging quantum hardware is a topic of intense interest. While many studies focus on computing ground state properties or simulating unitary dynamics of closed systems, open…

Simulating Effective QED on Quantum Computers

- PhysicsQuantum
- 2022

In recent years simulations of chemistry and condensed materials has emerged as one of the preeminent applications of quantum computing, offering an exponential speedup for the solution of the…

3+1 Dimension Schwinger Pair Production with Quantum Computers

- Physics
- 2021

Real-time quantum simulation of quantum field theory in (3+1)D requires large quantum computing resources. With a few-qubit quantum computer, we develop a novel algorithm and experimentally study the…

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