Analog quantum simulation of phi 4 field theory with a superconducting transmission line

arXiv:2610.11071 · quant-ph, cond-mat.mes-hall, hep-lat · Submitted 2026-10-08 · Read on arXiv

quant-ph, cond-mat.mes-hall, hep-lat

Submitted: 2026-10-08

Updated: 2026-10-08

Terminology

• Domain Walls — 4× in this paper · explained in 2 episodes
• Accuracy — 3× in this paper · explained in 1 episode
• Entanglement — 3× in this paper · explained in 3 episodes
• Decoupling — 2× in this paper · explained in 2 episodes
• Hubbard Model — 2× in this paper · explained in 3 episodes
• Adaptation — 1× in this paper · explained in 1 episode
• Degeneracy — 1× in this paper · explained in 3 episodes
• Effective Hamiltonian — 1× in this paper · explained in 2 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Matrix Product States (MPS) — 1× in this paper · explained in 2 episodes
• Quantum Circuits — 1× in this paper · explained in 2 episodes
• Symmetry Breaking — 1× in this paper · explained in 3 episodes
• Topological Defects — 1× in this paper · explained in 2 episodes
• Transformer — 1× in this paper · explained in 2 episodes

Sources

• Real-time Scattering in \phi^4 Theory using Matrix Product States
• Matrix product states and variational methods applied to critical quantum field theory
• Engineering Framework for Optimizing Superconducting Qubit Designs
• Advanced Lattice QCD
• Emergent Harmonics in Josephson Tunnel Junctions Due to Series Inductance
• Evidence for coherent quantum phase-slips across a Josephson junction array
• Efficient modeling of superconducting quantum circuits with tensor networks
• Dephasing in Fluxonium Qubits from Coherent Quantum Phase Slips
• Lattice field theory for superconducting circuits
• Digital quantum simulations of scattering in quantum field theories using W states
• Fast, accurate, high-resolution simulation of large-scale Fermi-Hubbard models on a digital quantum processor

Related papers

• Reconquering Bell sampling on qudits: stabilizer learning and testing, quantum pseudorandomness bounds, and more
• Encrypted clones can leak: Classification of informative subsets in Quantum Encrypted Cloning
• Polynomial-time classical and quantum simulation of quantum impurity models
• Theory of quantum-enhanced interferometry with general Markovian light sources
• A convergent hierarchy of spectral gap certificates for qubit Hamiltonians
• Universal Bound and Phase Transition in Many-Body Fermionic Non-Gaussianity