Quantum Simulation of Nuclear Inelastic Scattering

Abstract

We present a time-dependent quantum algorithm for nuclear inelastic scattering in the time-dependent basis function on qubits approach. This algorithm aims to quantum simulate a subset of the nuclear inelastic scattering problems that are of physical interest, in which the internal degrees of freedom of the reaction system are excited by time-dependent external interactions. We expect that our algorithm will enable an exponential speedup in simulating the dynamics of the subset of the inelastic scattering problems, which would also be advantageous for the applications to more complicated scattering problems. For a demonstration problem, we solve for the Coulomb excitation of the deuteron, where the quantum simulations are performed with IBM Qiskit.

4 figures, 1 table, 25 pages. Accepted by Phys. Rev. A. Comments are welcome!

References in corpus (9)

• Simulating Hamiltonian dynamics with a truncated Taylor series
• Structure of A=10-13 nuclei with two- plus three-nucleon interactions from chiral effective field theory
• Resource-Aware Quantum Programming with General Recursion and Quantum Control
• Quantum simulation of time-dependent Hamiltonians and the convenient illusion of Hilbert space
• Chemical Basis of Trotter-Suzuki Errors in Quantum Chemistry Simulation
• Quantum Simulation of Quantum Field Theory in the Light-Front Formulation
• Simulating Hadronic Physics on NISQ devices using Basis Light-Front Quantization
• Light-Front Field Theory on Current Quantum Computers
• Quantum Fourier Transform Revisited

Cited by in corpus (24)

• Quantum Simulation for High Energy Physics
• Standard Model Physics and the Digital Quantum Revolution: Thoughts about the Interface
• Quantum computing of the ${}^6$Li nucleus via ordered unitary coupled clusters
• Primitive Quantum Gates for an SU(2) Discrete Subgroup: BT
• General quantum algorithms for Hamiltonian simulation with applications to a non-Abelian lattice gauge theory
• Primitive Quantum Gates for Dihedral Gauge Theories
• Accessing ground state and excited states energies in many-body system after symmetry restoration using quantum computers
• Lattice Renormalization of Quantum Simulations
• Medium induced jet broadening in a quantum computer
• Prediction of the neutron drip line in oxygen isotopes using quantum computation
• Importance sampling for stochastic quantum simulations
• Quantum computation of nuclear observables involving linear combination of unitary operators
• Nuclear scattering via quantum computing
• On the momentum broadening of in-medium jet evolution using a light-front Hamiltonian approach
• A quantum-classical co-processing protocol towards simulating nuclear reactions on contemporary quantum hardware
• Efficient and precise quantum simulation of ultra-relativistic quark-nucleus scattering
• Scattering phase shifts from a quantum computer
• Quantum error mitigation for Fourier moment computation
• Multi-nucleon structure and dynamics via quantum computing
• Quantum computing of the pairing Hamiltonian at finite temperatures
• Systematic many-fermion Hamiltonian input scheme and spectral calculations on quantum computers
• Ab initio nuclear structure via quantum adiabatic algorithm
• Quantum-Classical Computing for Time-Dependent Ion-Atom Collision Dynamics: Applications to Charge Transfer Cross Section Simulations
• Quantum simulating multi-particle processes in high energy nuclear physics: dijet production and color (de)coherence