A time-dependent wave-packet approach to reactions for quantum computation

• URL: http://arxiv.org/abs/2603.26881v1
• Date: Fri, 27 Mar 2026 18:01:04 GMT
• Title: A time-dependent wave-packet approach to reactions for quantum computation
• Abstract summary: We describe a method for obtaining the scattering matrix for nuclear or chemical reactions on a finite lattice.<n>Aside from the preparation of the initial and final states as wave packets, the only other operation required is unitary time evolution.<n>We demonstrate our methods through a series of numerical examples, for both elastic and inelastic processes.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We describe a method for obtaining the scattering matrix for nuclear or chemical reactions on a finite lattice. Aside from the preparation of the initial and final states as wave packets, the only other operation required is unitary time evolution, making this approach ideal for simulations on quantum hardware. The central quantity is a time-dependent overlap between incoming and outgoing wave packets whose Fourier transform corresponds to the scattering matrix at fixed energy, from which one can calculate elastic and inelastic cross sections for reactions involving two interacting clusters. Working in Cartesian coordinates enables an efficient encoding of the problem on quantum hardware via the first quantization mapping, with favorable qubit scaling for describing asymptotic scattering states. Within this framework, we describe a quantum algorithm for probing the scattering amplitude through different angles, including the forward direction, which provides access to the total cross section via the optical theorem. We demonstrate our methods through a series of numerical examples, for both elastic and inelastic processes, comparing against exact calculations. The techniques we describe can more readily be extended to a large number of constituent particles than other existing approaches, once fault-tolerant quantum hardware becomes available.

Related papers

• Quantum simulation of Liouville equation in geometrical optics with partial transmission and reflection via Schrödingerization [42.22857110018992]
  This paper investigates quantum simulation algorithms for the Liouville equation in geometrical optics with partial transmission and reflection at sharp interfaces.<n>By means of a warped phase transformation in one higher dimension, the Schrdingerization method converts linear partial differential equations into a system of Schrdinger-type equations with unitary evolution.<n>We present detailed constructions of the resulting quantum algorithms and show through complexity analysis that the proposed methods achieve quantum advantage in the precision parameter $$ over their classical counterparts.
  arXiv  Detail & Related papers  (2026-03-12T14:47:16Z)
• Optimal absorption and emission of itinerant fields into a spin ensemble memory [39.74150797598488]
  This work focuses on spin-based quantum memories, where itinerant electromagnetic fields are stored in large ensembles.<n>We develop a cascaded quantum model to describe both absorption and emission processes.<n> Numerical simulations are presented in the context of microwave-frequency quantum memories interfaced with superconducting quantum processors.
  arXiv  Detail & Related papers  (2025-06-06T14:16:54Z)
• Creation of Wave Packets for Quantum Chromodynamics on Quantum Computers [0.0]
  We create wave packets of a general kind of particle from the vacuum in lattice gauge theories in various dimensions.<n>The only theoretical limitation is given by the presence of massless particles.<n>Digital quantum computation, the wave packet creation from the vacuum is implemented with the technique known as LCU.
  arXiv  Detail & Related papers  (2025-01-22T18:28:46Z)
• Evaluation of phase shifts for non-relativistic elastic scattering using quantum computers [39.58317527488534]
  This work reports the development of an algorithm that makes it possible to obtain phase shifts for generic non-relativistic elastic scattering processes on a quantum computer.
  arXiv  Detail & Related papers  (2024-07-04T21:11:05Z)
• Finite-element assembly approach of optical quantum walk networks [39.58317527488534]
  We present a finite-element approach for computing the aggregate scattering matrix of a network of linear coherent scatterers. Unlike traditional finite-element methods in optics, this method does not directly solve Maxwell's equations.
  arXiv  Detail & Related papers  (2024-05-14T18:04:25Z)
• Solving reaction dynamics with quantum computing algorithms [42.408991654684876]
  We study quantum algorithms for response functions, relevant for describing different reactions governed by linear response.<n>We focus on nuclear-physics applications and consider a qubit-efficient mapping on the lattice, which can efficiently represent the large volumes required for realistic scattering simulations.
  arXiv  Detail & Related papers  (2024-03-30T00:21:46Z)
• Fermionic wave packet scattering: a quantum computing approach [0.0]
  We propose a method to prepare Gaussian wave packets with momentum on top of the interacting ground state of a fermionic Hamiltonian.<n>We show how to efficiently obtain expectation values of observables throughout the evolution of the wave packets on digital quantum computers.<n>We characterize the phenomenon and provide a first step towards studying more complicated collision processes on digital quantum computers.
  arXiv  Detail & Related papers  (2023-12-04T19:00:04Z)
• Near-Term Distributed Quantum Computation using Mean-Field Corrections and Auxiliary Qubits [77.04894470683776]
  We propose near-term distributed quantum computing that involve limited information transfer and conservative entanglement production. We build upon these concepts to produce an approximate circuit-cutting technique for the fragmented pre-training of variational quantum algorithms.
  arXiv  Detail & Related papers  (2023-09-11T18:00:00Z)
• Quantum Simulation of Bound State Scattering [0.0]
  We present a strategy to excite wavepackets of the interacting theory directly from the vacuum of the interacting theory. This is the first step towards digital quantum simulation of scattering of bound states.
  arXiv  Detail & Related papers  (2023-05-12T18:00:01Z)
• A hybrid quantum-classical algorithm for multichannel quantum scattering of atoms and molecules [62.997667081978825]
  We propose a hybrid quantum-classical algorithm for solving the Schr"odinger equation for atomic and molecular collisions. The algorithm is based on the $S$-matrix version of the Kohn variational principle, which computes the fundamental scattering $S$-matrix. We show how the algorithm could be scaled up to simulate collisions of large polyatomic molecules.
  arXiv  Detail & Related papers  (2023-04-12T18:10:47Z)
• Efficient Light Propagation Algorithm using Quantum Computers [0.3124884279860061]
  One of the cornerstones in modern optics is the beam propagation algorithm. We show that the propagation can be performed as a quantum computation with $mathcalO(logN)$ single-controlled phase gates. We highlight the importance of the selection of suitable observables to retain the quantum advantage.
  arXiv  Detail & Related papers  (2023-03-13T11:47:09Z)
• Interaction of quantum systems with single pulses of quantized radiation [68.8204255655161]
  We describe the interaction of a propagating pulse of quantum radiation with a localized quantum system. By transformation to an appropriate picture, we identify the usual Jaynes-Cummings Hamiltonian between the scatterer and a superposition of the initial and final mode. The transformed master equation offers important insights into the system dynamics and it permits numerically efficient solutions.
  arXiv  Detail & Related papers  (2022-03-14T20:23:23Z)
• Continuous-time dynamics and error scaling of noisy highly-entangling quantum circuits [58.720142291102135]
  We simulate a noisy quantum Fourier transform processor with up to 21 qubits. We take into account microscopic dissipative processes rather than relying on digital error models. We show that depending on the dissipative mechanisms at play, the choice of input state has a strong impact on the performance of the quantum algorithm.
  arXiv  Detail & Related papers  (2021-02-08T14:55:44Z)
• Measuring Analytic Gradients of General Quantum Evolution with the Stochastic Parameter Shift Rule [0.0]
  We study the problem of estimating the gradient of the function to be optimized directly from quantum measurements. We derive a mathematically exact formula that provides an algorithm for estimating the gradient of any multi-qubit parametric quantum evolution. Our algorithm continues to work, although with some approximations, even when all the available quantum gates are noisy.
  arXiv  Detail & Related papers  (2020-05-20T18:24:11Z)
• Quantum Statistical Complexity Measure as a Signalling of Correlation Transitions [55.41644538483948]
  We introduce a quantum version for the statistical complexity measure, in the context of quantum information theory, and use it as a signalling function of quantum order-disorder transitions. We apply our measure to two exactly solvable Hamiltonian models, namely: the $1D$-Quantum Ising Model and the Heisenberg XXZ spin-$1/2$ chain. We also compute this measure for one-qubit and two-qubit reduced states for the considered models, and analyse its behaviour across its quantum phase transitions for finite system sizes as well as in the thermodynamic limit by using Bethe ansatz.
  arXiv  Detail & Related papers  (2020-02-05T00:45:21Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.