Hamiltonian truncation and quantum simulation of strong-field QED beyond tree level

• URL: http://arxiv.org/abs/2509.15495v2
• Date: Wed, 08 Oct 2025 23:05:17 GMT
• Title: Hamiltonian truncation and quantum simulation of strong-field QED beyond tree level
• Authors: Patrick Draper, Luis Hidalgo, Anton Ilderton,
• Abstract summary: Quantum electrodynamics in strong background fields provides an interesting class of problems for classical and quantum simulation.<n>In this paper we formulate simulations of polarization (helicity) flip for a photon colliding with a high-intensity plane wave.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum electrodynamics in strong background fields provides an interesting class of problems for classical and quantum simulation. In this paper we formulate simulations of polarization (helicity) flip for a photon colliding with a high-intensity plane wave. Polarization flip is a one loop effect, which requires addressing new issues that do not arise in simulations of tree-level processes. Working in the momentum-space Fock basis, while convenient for the extraction of scattering amplitudes, requires tuning counterterms to cancel large cutoff effects. We compute analytic formulas for the counterterms at one loop. We then construct circuits for quantum simulations of the process, perform noiseless simulations on classical computers to assess discretization errors, and discuss resource estimates for future simulations on quantum hardware.

Related papers

• Quantum simulation of a noisy classical nonlinear dynamics [2.6874004806796528]
  We consider the problem of simulating dynamics of classical nonlinear dissipative systems with $Ngg 1$ of freedom.<n>To make the problem tractable for quantum computers, we add a weak Gaussian noise to the equation of motion and the initial state.<n>For any constant nonzero noise rate, the runtime quantum scales to $log(N)$, evolution time, inverse error tolerance, and the relative strength of nonlinearity and dissipation.
  arXiv  Detail & Related papers  (2025-07-08T17:25:40Z)
• Quantum Computing for Phonon Scattering Effects on Thermal Conductivity [0.0]
  Multi-phonon scattering processes substantially influence the thermal conductivity of materials. This study examines the potential of quantum simulations to address these challenges. We construct the system within Fock space using bosonic operators and transform the Hamiltonian into the sum of Pauli operators suitable for quantum computation.
  arXiv  Detail & Related papers  (2024-07-22T17:20:51Z)
• Quantum Simulations for Strong-Field QED [0.0]
  We perform quantum simulations of strong-field QED (SFQED) in $3+1$ dimensions. The interactions relevant for Breit-Wheeler pair-production are transformed into a quantum circuit. Quantum simulations of a "null double slit" experiment are found to agree well with classical simulations.
  arXiv  Detail & Related papers  (2023-11-30T03:05:26Z)
• Quantum Computing Simulation of a Mixed Spin-Boson Hamiltonian and Its Performance for a Cavity Quantum Electrodynamics Problem [0.0]
  We present a methodology for simulating a phase transition in a pair of cavities that permit photon hopping. We find that the simulation can be performed with a modest amount of quantum resources.
  arXiv  Detail & Related papers  (2023-10-17T15:25:35Z)
• Adaptively partitioned analog quantum simulation on near-term quantum computers: The nonclassical free-induction decay of NV centers in diamond [0.24475591916185496]
  We propose an alternative analog simulation approach on near-term quantum devices. Our approach circumvents the limitations by adaptively partitioning the bath into several groups. This work sheds light on a flexible approach to simulate large-scale materials on noisy near-term quantum computers.
  arXiv  Detail & Related papers  (2023-03-03T14:39:48Z)
• Quantum emulation of the transient dynamics in the multistate Landau-Zener model [50.591267188664666]
  We study the transient dynamics in the multistate Landau-Zener model as a function of the Landau-Zener velocity. Our experiments pave the way for more complex simulations with qubits coupled to an engineered bosonic mode spectrum.
  arXiv  Detail & Related papers  (2022-11-26T15:04:11Z)
• Probing finite-temperature observables in quantum simulators of spin systems with short-time dynamics [62.997667081978825]
  We show how finite-temperature observables can be obtained with an algorithm motivated from the Jarzynski equality. We show that a finite temperature phase transition in the long-range transverse field Ising model can be characterized in trapped ion quantum simulators.
  arXiv  Detail & Related papers  (2022-06-03T18:00:02Z)
• Simulating the Mott transition on a noisy digital quantum computer via Cartan-based fast-forwarding circuits [62.73367618671969]
  Dynamical mean-field theory (DMFT) maps the local Green's function of the Hubbard model to that of the Anderson impurity model. Quantum and hybrid quantum-classical algorithms have been proposed to efficiently solve impurity models. This work presents the first computation of the Mott phase transition using noisy digital quantum hardware.
  arXiv  Detail & Related papers  (2021-12-10T17:32:15Z)
• An Algebraic Quantum Circuit Compression Algorithm for Hamiltonian Simulation [55.41644538483948]
  Current generation noisy intermediate-scale quantum (NISQ) computers are severely limited in chip size and error rates. We derive localized circuit transformations to efficiently compress quantum circuits for simulation of certain spin Hamiltonians known as free fermions. The proposed numerical circuit compression algorithm behaves backward stable and scales cubically in the number of spins enabling circuit synthesis beyond $mathcalO(103)$ spins.
  arXiv  Detail & Related papers  (2021-08-06T19:38:03Z)
• Pulse-level noisy quantum circuits with QuTiP [53.356579534933765]
  We introduce new tools in qutip-qip, QuTiP's quantum information processing package. These tools simulate quantum circuits at the pulse level, leveraging QuTiP's quantum dynamics solvers and control optimization features. We show how quantum circuits can be compiled on simulated processors, with control pulses acting on a target Hamiltonian.
  arXiv  Detail & Related papers  (2021-05-20T17:06:52Z)
• Fixed Depth Hamiltonian Simulation via Cartan Decomposition [59.20417091220753]
  We present a constructive algorithm for generating quantum circuits with time-independent depth. We highlight our algorithm for special classes of models, including Anderson localization in one dimensional transverse field XY model. In addition to providing exact circuits for a broad set of spin and fermionic models, our algorithm provides broad analytic and numerical insight into optimal Hamiltonian simulations.
  arXiv  Detail & Related papers  (2021-04-01T19:06:00Z)
• Low-depth Hamiltonian Simulation by Adaptive Product Formula [3.050399782773013]
  Various Hamiltonian simulation algorithms have been proposed to efficiently study the dynamics of quantum systems on a quantum computer. Here, we propose an adaptive approach to construct a low-depth time evolution circuit. Our work sheds light on practical Hamiltonian simulation with noisy-intermediate-scale-quantum devices.
  arXiv  Detail & Related papers  (2020-11-10T18:00:42Z)

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.