Entanglement spectrum and magic in higher-dimensional free fermionic systems

arXiv:2609.36008 · quant-ph, cond-mat.stat-mech · Submitted 2026-09-28 · Read on arXiv

quant-ph, cond-mat.stat-mech

Submitted: 2026-09-28

Updated: 2026-09-28

Terminology

• Entanglement — 136× in this paper · explained in 3 episodes
• Entanglement Entropy — 11× in this paper · explained in 2 episodes
• Hilbert Space — 2× in this paper · explained in 2 episodes
• Benchmarking — 1× in this paper · explained in 3 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Core — 1× in this paper · explained in 2 episodes
• Decoupling — 1× in this paper · explained in 2 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Spectral Geometry — 1× in this paper · explained in 2 episodes
• Topological Defects — 1× in this paper · explained in 2 episodes
• Topological Order — 1× in this paper · explained in 2 episodes
• Unitary Dynamics — 1× in this paper · explained in 2 episodes

Sources

• The Heisenberg Representation of Quantum Computers
• Pauli Propagation: A Computational Framework for Simulating Quantum Systems
• A fast and exact approach for stabilizer R'enyi entropy via the XOR-FWHT algorithm
• Exponentially Accelerated Sampling of Pauli Strings for Nonstabilizerness
• Computing quantum magic of state vectors
• Non-stabilizerness and violations of CHSH inequalities
• Non-stabilizerness and U(1) symmetry in chaotic many-body quantum systems
• Stabilizer Entropy of Subspaces
• Quantum State Designs via Magic Teleportation
• Growth and spreading of quantum resources under random circuit dynamics
• Pauli Spectrum and Non-stabilizerness of Typical Quantum Many-Body States
• Stabilizer R'{e}nyi Entropy Encodes Fusion Rules of Topological Defects and Boundaries
• Mpemba Effects in Quantum Complexity
• Quantum Complexity and Chaos in Many-Qudit Doped Clifford Circuits
• Two-Point Stabilizer R'enyi Entropy: a Computable Magic Proxy of Interacting Fermions
• Nonstabilizerness of quantum tensor network states is intractable in two dimensions
• Non-stabilizerness and entanglement in (2+1) -dimensional SU(2) lattice gauge theory using tensor networks
• Magic and Non-Clifford Gates in Topological Quantum Field Theory
• State-dependent geometries from magic-enriched quantum codes

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