Pauli
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Pauli propagation enables fast classical simulation of strongly correlated quantum systems
Announce Type: replace-cross Abstract: Ground state energy estimation for strongly correlated quantum systems remains a central challenge in computational physics and chemistry. While tensor network methods like DMRG provide efficient solutions for one-dimensional systems, higher-dimensional problems remain difficult. Here we present a variational double bracket flow (vDBF) algorithm that leverages Pauli Propagation, a technique originally developed for classical simulation of quantum...
Pauli-structured preconditioning for quantum linear system solvers
arXiv:2606.01733v1 Announce Type: cross Abstract: Preconditioning is a fundamental technique for accelerating classical linear system solvers, and understanding when its benefits persist in quantum linear system (QLS) solvers is important for assessing the practical resource requirements of quantum linear algebra. In QLS algorithms, however, the potential advantage of preconditioning may be offset by the normalization overhead incurred by composing separate block-encodings of the system...
B-Spline for Self-Consistent Field Theory with a Z-Dependent Pauli Potential for Atomic Binding Energies
arXiv:2606.07273v1 Announce Type: new Abstract: Polymer self-consistent field theory (SCFT) has recently been established as a promising alternative framework to Kohn-Sham density functional theory (KS-DFT) for modeling quantum many-body systems. It uses real-valued propagators instead of orbitals, simplifying the self-consistent numerical solution.
An Effective Pauli-Channel Model for Passive-User Loop-Back QKD
arXiv:2606.04247v1 Announce Type: new Abstract: This work develops an effective channel model for distributed passive-user Loop-Back quantum key distribution. In the intended key-establishment setting, the two passive users \(B_1\) and \(B_2\) are the legitimate lightweight parties that establish a shared secret key by using Alice as an active quantum preparation-and-measurement infrastructure. A single active station prepares and measures BB84 states, while two remote users apply only local...
Attention-based optimizer for symmetry finding
arXiv:2605.30429v1 Announce Type: cross Abstract: Finding symmetries is crucial for understanding physical models. In this work, we present an optimization framework that searches Pauli symmetries of Hamiltonians, merging the fields of machine learning with automated symmetry finding. Built on a Set-Transformer architecture, our framework uses self-attention to encode the pairwise and higher-order correlations among the Pauli-Strings.
Remarks about the Moebius-Kantor graph
Announce Type: cross Abstract: The Moebius-Kantor graph MK=G(8,3) is a Cayley graph of three non-abelian groups, the Pauli group P(1), the semi-dihedral group SD(16), as well as the dihedral group D(16) of order 16. In topological graph theory, it illustrates the Heawood number 7 of the torus and leads to the Tucker group Aut(MK), the unique group of genus 2. We compute the Lefschetz numbers to illustrate the Brouwer-Lefschetz fixed point theorem.
Four-time veterans to late bolters, here's your Socceroos pocket guide
From four-time veterans to late bolter Volpato, here's your Socceroos World Cup guide Tue 9 Jun 2026 at 4:47am Australia is in a sixth-consecutive men's World Cup, but this one looks a lot different to when the Socceroos golden generation made it to the knockout rounds in 2006, or the Qatar World Cup of 2022. It's a 48-team tournament, being staged across the USA, Canada, and Mexico, with Australia drawing a host nation for the first time since the 1974 edition. The first match of the...
World Cup Group D guide
World Cup 2026 Group D guide - fixtures, schedule, standings and odds for USA, Paraguay, Australia and Turkey World Cup Group D includes co-hosts the United States of America, Paraguay, Australia and Turkey; fixtures will take place in the USA in Los Angeles, Seattle and Santa Clara plus the Canadian city of Vancouver Tuesday 2 June 2026 13:28, UK World Cup Group D sees co-hosts the United States of America play the first fixture in their home country against Paraguay before facing Australia...
Physics Guided Generative Optimization for Trotter Suzuki Decomposition
Announce Type: replace-cross Abstract: Trotter Suzuki product formulas are the standard route to Hamiltonian evolution on noisy intermediate-scale quantum (\NISQ{}) hardware, but their accuracy depends on three coupled choices: term grouping, product-formula order, and time-step allocation. Grouping and order are discrete, which makes direct gradient optimization infeasible and forces existing compilers to rely on static heuristics. We describe P-GONE, a method that combines a conditional...
World Cup Group B guide
World Cup 2026 Group B guide - fixtures, schedule, standings and odds for Canada, Bosnia-Herzegovina, Qatar and Switzerland World Cup Group B includes co-hosts Canada, Bosnia-Herzegovina, Qatar and Switzerland; matches will take place in Canadian cities Toronto and Vancouver and in the USA's Santa Clara, Los Angeles and Seattle Tuesday 2 June 2026 12:50, UK World Cup Group B sees co-hosts Canada play the first fixture in their home country against Bosnia-Herzegovina, followed by games...