Complexity study of the Hartle-Hawking state in JT gravity

arXiv:2610.00844 · hep-th, gr-qc, quant-ph · Submitted 2026-10-01 · Read on arXiv

hep-th, gr-qc, quant-ph

Submitted: 2026-10-01

Updated: 2026-10-08

Terminology

• Wigner function — 54× in this paper · explained in 2 episodes
• Generalization — 4× in this paper · explained in 13 episodes
• Hilbert Space — 4× in this paper · explained in 2 episodes
• Krylov Complexity — 3× in this paper · explained in 3 episodes
• Consistency — 2× in this paper · explained in 3 episodes
• Effective Hamiltonian — 2× in this paper · explained in 2 episodes
• Entanglement — 2× in this paper · explained in 3 episodes
• Trace — 2× in this paper · explained in 2 episodes

Sources

• Negativity of the Wigner function as an indicator of nonclassicality
• Hudson's Theorem for finite-dimensional quantum systems
• Negative Quasi-Probability as a Resource for Quantum Computation
• The Resource Theory of Stabilizer Computation
• Chaos by Magic
• Quantum Chaos is Quantum
• Stabilizer R'enyi entropy
• Positive Wigner functions render classical simulation of quantum computation efficient
• Estimating outcome probabilities of quantum circuits using quasiprobabilities
• Contextuality supplies the magic for quantum computation
• Black Holes and Random Matrices
• The bulk Hilbert space of double scaled SYK
• A bulk manifestation of Krylov complexity
• Quantum chaos and the complexity of spread of states
• Addendum to Computational Complexity and Black Hole Horizons
• Complexity and Shock Wave Geometries
• JT gravity as a matrix integral
• Complexity Growth and the Krylov-Wigner function
• Models of AdS_2 Backreaction and Holography
• Conformal symmetry and its breaking in two dimensional Nearly Anti-de-Sitter space

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