Toward nuclear physics from lattice QCD on quantum computers

Abstract

One of the ultimate missions of lattice QCD is to simulate atomic nuclei from the first principle of the strong interaction. This is an extremely hard task for the current computational technology, but might be reachable in coming quantum computing era. In this paper, we discuss the computational complexities of classical and quantum simulations of lattice QCD. It is shown that the quantum simulation scales better as a function of a nucleon number and thus will outperform for large nuclei.

References in corpus (35)

• Adiabatic Quantum Computing
• Fermionic quantum computation
• Real-time dynamics of lattice gauge theories with a few-qubit quantum computer
• Nuclear Force from Lattice QCD
• Quantum-Classical Computation of Schwinger Model Dynamics using Quantum Computers
• Lattice simulations for few- and many-body systems
• SU(2) non-Abelian gauge field theory in one dimension on digital quantum computers
• Hadron-Hadron Interactions from Imaginary-time Nambu-Bethe-Salpeter Wave Function on the Lattice
• Thermalization dynamics of a gauge theory on a quantum simulator
• $\Lambda \Lambda$ and N$\Xi$ interactions from Lattice QCD near the physical point
• $N\Omega$ dibaryon from lattice QCD near the physical point
• Most Strange Dibaryon from Lattice QCD
• Gluon Field Digitization for Quantum Computers
• Two- and three-pion finite-volume spectra at maximal isospin from lattice QCD
• Quantum simulation of lattice gauge theories using Wilson fermions
• Lattice QCD study of the $H$ dibaryon using hexaquark and two-baryon interpolators
• SU(2) lattice gauge theory on a quantum annealer
• Unified contraction algorithm for multi-baryon correlators on the lattice
• Exploring Three-Nucleon Forces in Lattice QCD
• Helium Nuclei in Quenched Lattice QCD
• Nuclear correlation functions in lattice QCD
• Real-time chiral dynamics from a digital quantum simulation
• Preparations for Quantum Simulations of Quantum Chromodynamics in 1+1 Dimensions: (II) Single-Baryon $\beta$-Decay in Real Time
• Dibaryon with highest charm number near unitarity from lattice QCD
• Toward scalable simulations of Lattice Gauge Theories on quantum computers
• Lattice QCD and baryon-baryon interactions: HAL QCD method
• Two-nucleon S-wave interactions at the $SU(3)$ flavor-symmetric point with $m_{ud}\simeq m_s^{\mathrm{phys}}$: a first lattice QCD calculation with the stochastic Laplacian Heaviside method
• Real-time simulation of (2+1)-dimensional lattice gauge theory on qubits
• How many quantum gates do gauge theories require?
• A recursive approach to determine correlation functions in multi-baryon systems
• Diagnosis of information scrambling from Hamiltonian evolution under decoherence
• Quantum variational approach to lattice gauge theory at nonzero density
• Instructive discussion of an effective block algorithm for baryon-baryon correlators
• Schwinger model at finite temperature and density with beta VQE
• Studying chirality imbalance with quantum algorithms

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