Diameter truncated operator evolution

• URL: http://arxiv.org/abs/2606.28313v1
• Date: Fri, 26 Jun 2026 17:56:45 GMT
• Title: Diameter truncated operator evolution
• Abstract summary: We present a method for simulating operator dynamics in out-of-equilibrium quantum systems.<n>We extend this idea to a leaner truncation protocol, truncating operators based on their diameter.<n>Using existing analysis for generic circuits we argue that this kind of truncation protocol is physically well-motivated.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We present a method for simulating operator dynamics in out-of-equilibrium quantum systems. Due to the rapid growth of complexity in these systems, this is typically speaking an intractable task. However, exceptional progress has been made in recent years to sidestep this barrier, with the introduction of a number of methods that make use of a truncation of the simulation to low-weight (the number of non-trivial terms in a Pauli string basis expansion) observables, which turns out to be a good approximation for many dynamical quantities of interest, e.g., two-point infinite-temperature correlation functions between local operators. In this work, we extend this idea to a leaner truncation protocol, truncating operators based on their diameter - that is, the size of the region on the lattice on which they are non-trivially supported. Using existing analysis for generic circuits we argue that this kind of truncation protocol is physically well-motivated, and show via extensive numerical simulations for a number of systems of interest (here, the kicked Ising model and the Heisenberg XXZ model) that it is effective, and allows us to efficiently and accurately extract local correlation functions and transport properties.

Related papers

• Quantum Simulation of the Real-time Dynamics in the multi-flavor Gross-Neveu Model at the utility scale using Superconducting Quantum Computers [2.5315729179239637]
  We present a quantum simulation framework for real-time dynamics of the multi-flavor Gross-Neveu model in 1+1 dimensions.<n>We develop a hardware-efficient Trotterization whose per-step circuit depth scales with fermion flavor number rather than total system size.<n>A central contribution of this work is the Localized Diagonal Operator Approximation (LDOA), which systematically reduces the overhead associated with quartic interactions.
  arXiv  Detail & Related papers  (2026-05-06T21:57:51Z)
• Operator delocalization in disordered spin chains via exact MPO marginals [0.0]
  We introduce a complementary measure of operator complexity: the operator length.<n>Both quantities are defined from the expansion of time-evolved operators in the Pauli basis.<n>We show that both the operator mass and length can be computed efficiently and exactly within a matrix-productoperator framework.
  arXiv  Detail & Related papers  (2026-01-18T15:03:25Z)
• Grassmann Variational Monte Carlo with neural wave functions [45.935798913942904]
  We formalize the framework introduced by Pfau et al.citepfau2024accurate in terms of Grassmann geometry of the Hilbert space.<n>We validate our approach on the Heisenberg quantum spin model on the square lattice, achieving highly accurate energies and physical observables for a large number of excited states.
  arXiv  Detail & Related papers  (2025-07-14T13:53:13Z)
• Exploiting emergent symmetries in disorder-averaged quantum dynamics [0.0]
  We develop schemes for efficiently constructing symmetric sectors of the disorder-averaged dynamical map.<n>After disorder averaging, this system becomes effectively permutation-invariant, allowing for the simulation of large system.
  arXiv  Detail & Related papers  (2025-07-13T12:38:19Z)
• Generating Generalised Ground-State Ansatzes from Few-Body Examples [0.0]
  We introduce a method that generates ground-state ansatzes for quantum many-body systems.<n>We find analytically tractable ansatzes with a degree of universality, which encode correlations, capture finite-size effects, accurately predict ground-state energies, and offer a good description of critical phenomena.
  arXiv  Detail & Related papers  (2025-03-01T13:52:57Z)
• Clifford-Dressed Variational Principles for Precise Loschmidt Echoes [44.99833362998488]
  We extend the recently introduced Clifford dressed Time-Dependent Variational Principle (TDVP) to efficiently compute many-body wavefunction amplitudes in the computational basis.<n>By incorporating Clifford disentangling gates during TDVP evolution, our method effectively controls entanglement growth while keeping the computation of these amplitudes accessible.
  arXiv  Detail & Related papers  (2025-02-03T22:43:32Z)
• Efficiency of Dynamical Decoupling for (Almost) Any Spin-Boson Model [44.99833362998488]
  We analytically study the dynamical decoupling of a two-level system coupled with a structured bosonic environment.<n>We find sufficient conditions under which dynamical decoupling works for such systems.<n>Our bounds reproduce the correct scaling in various relevant system parameters.
  arXiv  Detail & Related papers  (2024-09-24T04:58:28Z)
• Spectroscopy and complex-time correlations using minimally entangled typical thermal states [39.58317527488534]
  We introduce a practical approach to computing such correlators using minimally entangled typical thermal states.<n>We show that these numerical techniques capture the finite-temperature dynamics of the Shastry-Sutherland model.
  arXiv  Detail & Related papers  (2024-05-28T18:00:06Z)
• Quantum correlation functions through tensor network path integral [0.0]
  tensor networks are utilized for calculating equilibrium correlation function for open quantum systems. The influence of the solvent on the quantum system is incorporated through an influence functional. The design and implementation of this method is discussed along with illustrations from rate theory, symmetrized spin correlation functions, dynamical susceptibility calculations and quantum thermodynamics.
  arXiv  Detail & Related papers  (2023-08-21T07:46:51Z)
• Equivariance and partial observations in Koopman operator theory for partial differential equations [1.099532646524593]
  We show that symmetries in the system dynamics can be carried over to the Koopman operator. We address the highly-relevant case where we cannot measure the full state.
  arXiv  Detail & Related papers  (2023-07-28T06:03:19Z)
• Decimation technique for open quantum systems: a case study with driven-dissipative bosonic chains [62.997667081978825]
  Unavoidable coupling of quantum systems to external degrees of freedom leads to dissipative (non-unitary) dynamics. We introduce a method to deal with these systems based on the calculation of (dissipative) lattice Green's function. We illustrate the power of this method with several examples of driven-dissipative bosonic chains of increasing complexity.
  arXiv  Detail & Related papers  (2022-02-15T19:00:09Z)
• Out-of-time-order correlations and the fine structure of eigenstate thermalisation [58.720142291102135]
  Out-of-time-orderors (OTOCs) have become established as a tool to characterise quantum information dynamics and thermalisation. We show explicitly that the OTOC is indeed a precise tool to explore the fine details of the Eigenstate Thermalisation Hypothesis (ETH) We provide an estimation of the finite-size scaling of $omega_textrmGOE$ for the general class of observables composed of sums of local operators in the infinite-temperature regime.
  arXiv  Detail & Related papers  (2021-03-01T17:51:46Z)
• Phase-Space Methods for Simulating the Dissipative Many-Body Dynamics of Collective Spin Systems [0.0]
  We describe an efficient numerical method for simulating the dynamics and steady states of collective spin systems in the presence of dephasing and decay. We benchmark this numerical technique for known superradiant decay and spin-squeezing processes and illustrate its application for the simulation of non-equilibrium phase transitions in dissipative spin lattice models.
  arXiv  Detail & Related papers  (2020-11-19T19:00:00Z)
• Gaussian Process States: A data-driven representation of quantum many-body physics [59.7232780552418]
  We present a novel, non-parametric form for compactly representing entangled many-body quantum states. The state is found to be highly compact, systematically improvable and efficient to sample. It is also proven to be a universal approximator' for quantum states, able to capture any entangled many-body state with increasing data set size.
  arXiv  Detail & Related papers  (2020-02-27T15:54:44Z)

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.