Implementing Hamiltonian Renormalization Group Flow on Quantum Computers with VAPOR

• URL: http://arxiv.org/abs/2606.11306v1
• Date: Tue, 09 Jun 2026 18:00:05 GMT
• Title: Implementing Hamiltonian Renormalization Group Flow on Quantum Computers with VAPOR
• Abstract summary: VAPOR is a variational quantum algorithm that decomposes operators into Pauli strings, identifies RG flow orbits, and determines fixed points of a naively discretized operator.<n>We illustrate this using a toy model of a kinematic operator in a symmetry-restricted SU(2) Yang-Mills theory.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: While Hamiltonian Lattice Gauge Theory is gaining traction, today's limited numerical capacity leaves simulations affected by discretization errors. This motivates the implementation of renormalization group (RG) techniques to find discretization-error-free operators. To this end, we introduce VAPOR, a variational quantum algorithm that decomposes operators into Pauli strings, identifies RG flow orbits, and determines fixed points of a naively discretized operator. We illustrate this using a toy model of a kinematic operator in a symmetry-restricted SU(2) Yang-Mills theory.

Related papers

• Finite-range Lattice Momentum Operators for Quantum Field Theory [0.3437656066916039]
  We propose a Z-transform framework for the analysis and synthesis of finite range lattice momentum operators in quantum field theory.<n>We show that near $= $ only plane waves propagate coherently, and these exhibit group velocities far exceeding the speed of light.<n>No ghost wave packet solutions exist near $= $.
  arXiv  Detail & Related papers  (2026-08-18T03:38:47Z)
• Weak coupling limit for quantum systems with unbounded weakly commuting system operators [50.24983453990065]
  This work is devoted to a rigorous analysis of the weak coupling limit (WCL) for the reduced dynamics of an open infinite-dimensional quantum system interacting with electromagnetic field or a reservoir formed by Fermi or Bose particles.<n>We derive in the weak coupling limit the reservoir statistics, which is determined by whose terms in the multi-point correlation functions of the reservoir are non-zero in the WCL.<n>We prove that the resulting reduced system dynamics converges to unitary dynamics with a modified Hamiltonian which can be interpreted as a Lamb shift to the original Hamiltonian.
  arXiv  Detail & Related papers  (2025-05-13T05:32:34Z)
• A Lindbladian for exact renormalization of density operators in QFT [0.8778115505805627]
  In arXiv:1609.03493, the authors extended the exact renormalization group (ERG) to arbitrary wave-functionals in quantum field theory (QFT) Applying this formalism, we show that the ERG flow of density matrices is given by a Lindblad master equation.
  arXiv  Detail & Related papers  (2024-10-21T23:51:50Z)
• Operator Learning Renormalization Group [0.8192907805418583]
  We present a general framework for quantum many-body simulations called the operator learning renormalization group (OLRG) Inspired by machine learning perspectives, OLRG is a generalization of Wilson's numerical renormalization group and White's density matrix renormalization group. We implement two versions of the operator maps for classical and quantum simulations.
  arXiv  Detail & Related papers  (2024-03-05T18:37:37Z)
• Eigenvalues asymptotics of unbounded operators. Two-photon quantum Rabi model [0.0]
  We consider different cases of compact, relatively compact, selfadjoint or nonselfadjoint perturbations. We give an original proof of the Perelomov factorization theorem for operator of quantum optics.
  arXiv  Detail & Related papers  (2023-12-09T19:27:20Z)
• On reconstruction of states from evolution induced by quantum dynamical semigroups perturbed by covariant measures [50.24983453990065]
  We show the ability to restore states of quantum systems from evolution induced by quantum dynamical semigroups perturbed by covariant measures. Our procedure describes reconstruction of quantum states transmitted via quantum channels and as a particular example can be applied to reconstruction of photonic states transmitted via optical fibers.
  arXiv  Detail & Related papers  (2023-12-02T09:56:00Z)
• A Floquet-Rydberg quantum simulator for confinement in $\mathbb{Z}_2$ gauge theories [44.99833362998488]
  Recent advances in the field of quantum technologies have opened up the road for the realization of small-scale quantum simulators. We present a scalable Floquet scheme for the quantum simulation of the real-time dynamics in a $mathbbZ$ LGT. We show that an observation of gauge-invariant confinement dynamics in the Floquet-Rydberg setup is at reach of current experimental techniques.
  arXiv  Detail & Related papers  (2023-11-28T13:01:24Z)
• General quantum algorithms for Hamiltonian simulation with applications to a non-Abelian lattice gauge theory [44.99833362998488]
  We introduce quantum algorithms that can efficiently simulate certain classes of interactions consisting of correlated changes in multiple quantum numbers. The lattice gauge theory studied is the SU(2) gauge theory in 1+1 dimensions coupled to one flavor of staggered fermions. The algorithms are shown to be applicable to higher-dimensional theories as well as to other Abelian and non-Abelian gauge theories.
  arXiv  Detail & Related papers  (2022-12-28T18:56:25Z)
• Anyon braiding and the renormalization group [91.3755431537592]
  A braiding operation defines a real-space renormalization group for anyonic chains. The resulting renormalization group flow can be used to define a quantum scaling limit. It is illustrated how this works for the Ising chain, also known as transverse-field Ising model.
  arXiv  Detail & Related papers  (2022-01-27T15:09:10Z)
• Kernel-based approximation of the Koopman generator and Schr\"odinger operator [0.3093890460224435]
  We show how eigenfunctions can be estimated by solving auxiliary matrix eigenvalue problems. The resulting algorithms are applied to molecular dynamics and quantum chemistry examples.
  arXiv  Detail & Related papers  (2020-05-27T08:23:29Z)
• Operator-algebraic renormalization and wavelets [62.997667081978825]
  We construct the continuum free field as the scaling limit of Hamiltonian lattice systems using wavelet theory. A renormalization group step is determined by the scaling equation identifying lattice observables with the continuum field smeared by compactly supported wavelets.
  arXiv  Detail & Related papers  (2020-02-04T18:04:51Z)
• A Perturbation Algorithm for the Pointers of Franke-Gorini-Kossakowski-Lindblad-Sudarshan Equation [0.0]
  We focus on the quantum measurement operation which is determined by final stationary states of an open system. In seeking pointers, we have been able to propose a perturbative scheme of calculation, if we take the interaction components with an environment to be weak. The scheme we propose is different for the cases of non-degenerate and degenerate Hamiltonian.
  arXiv  Detail & Related papers  (2020-02-02T14:53:26Z)

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.