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 (36)

• Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer
• Elementary gates for quantum computation
• Quantum computational chemistry
• Quantum Monte Carlo methods for nuclear physics
• Towards Quantum Chemistry on a Quantum Computer
• Simulating Hamiltonian dynamics with a truncated Taylor series
• Efficient quantum algorithms for simulating sparse Hamiltonians
• Properties of ${}^{12}$C in the {\it ab initio} nuclear shell-model
• Robust determination of molecular spectra on a quantum processor
• Quantum-Classical Computation of Schwinger Model Dynamics using Quantum Computers
• Cloud Quantum Computing of an Atomic Nucleus
• Structure of A=10-13 nuclei with two- plus three-nucleon interactions from chiral effective field theory
• Quantum Algorithms for Fermionic Simulations
• An approximate Fourier transform useful in quantum factoring
• Resource-Aware Quantum Programming with General Recursion and Quantum Control
• Simulating quantum many-body dynamics on a current digital quantum computer
• Quantum simulation of time-dependent Hamiltonians and the convenient illusion of Hilbert space
• Finding Exponential Product Formulas of Higher Orders
• Quantum Circuits for Isometries
• Chemical Basis of Trotter-Suzuki Errors in Quantum Chemistry Simulation
• Digitization of Scalar Fields for Quantum Computing
• General Methods for Digital Quantum Simulation of Gauge Theories
• Electron-Phonon Systems on a Universal Quantum Computer
• Polynomial-Time Simulation of Pairing Models on a Quantum Computer
• Quantum Simulation of Quantum Field Theory in the Light-Front Formulation
• Linear Response on a Quantum Computer
• From bound states to the continuum
• Sigma models on quantum computers
• Simulating Hadronic Physics on NISQ devices using Basis Light-Front Quantization
• Light-Front Field Theory on Current Quantum Computers
• Quantum Fourier Transform Revisited
• Efficient quantum circuits for arbitrary sparse unitaries
• Theory of quantum computation
• Coulomb Excitation of Deuteron in Peripheral Collisions with a Heavy Ion
• Introduction to UniversalQCompiler
• The IBM Quantum Computer and the IBM Quantum Experience

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