In the large-N limit of the SYK model, quantum magic of pure KM states dual to black holes is linear in N with a temperature-tunable slope between 0 and 1/2.
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Doped matchgate circuits achieve approximate parity-preserving 2-designs in polylogarithmic depth using a sparse number of non-Gaussian gates, with the design formation mapped exactly to a birth-death Markov chain.
For single-logical-qubit surface codes with uniform X rotations, the projected logical ensemble after syndrome extraction and maximum-likelihood decoding is isomorphic to scattering-matrix ensembles of chaotic quantum dots in Altland-Zirnbauer classes D or DIII.
Quantum resource theories split into smoothly localizable (continuous local resource change) and threshold localizable (discontinuous jump past critical density) classes, driven by block sharpening, with predictions for phase boundaries validated numerically.
Introduces occupation number entropies (Tsallis) and natural-orbital participation entropies (Renyi) as computable convex resource monotones for fermionic non-Gaussianity from the covariance matrix.
Numerical evidence that non-stoquastic terms in quantum annealing maintain or increase entanglement and non-stabilizerness, aligning quantum performance gains with classical intractability for tensor networks and stabilizer methods.
Lecture notes and accompanying library teach replica tensor network methods to compute circuit-averaged observables in random quantum circuits by mapping them to classical statistical mechanics models.
citing papers explorer
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Tuning quantum magic of pure quantum chaotic states with a gravity dual
In the large-N limit of the SYK model, quantum magic of pure KM states dual to black holes is linear in N with a temperature-tunable slope between 0 and 1/2.
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Unitary Designs from Doped Matchgate Circuits
Doped matchgate circuits achieve approximate parity-preserving 2-designs in polylogarithmic depth using a sparse number of non-Gaussian gates, with the design formation mapped exactly to a birth-death Markov chain.
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Projected logical ensembles in surface codes via the random-matrix theory of quantum dots
For single-logical-qubit surface codes with uniform X rotations, the projected logical ensemble after syndrome extraction and maximum-likelihood decoding is isomorphic to scattering-matrix ensembles of chaotic quantum dots in Altland-Zirnbauer classes D or DIII.
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Quantum resource localizability transitions in deep thermalization
Quantum resource theories split into smoothly localizable (continuous local resource change) and threshold localizable (discontinuous jump past critical density) classes, driven by block sharpening, with predictions for phase boundaries validated numerically.
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Computable measures of fermionic non-Gaussianity from the covariance matrix
Introduces occupation number entropies (Tsallis) and natural-orbital participation entropies (Renyi) as computable convex resource monotones for fermionic non-Gaussianity from the covariance matrix.
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Quantum resources in non-stoquastic quantum annealing
Numerical evidence that non-stoquastic terms in quantum annealing maintain or increase entanglement and non-stabilizerness, aligning quantum performance gains with classical intractability for tensor networks and stabilizer methods.
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Lecture Notes on Replica Tensor Networks for Random Quantum Circuits
Lecture notes and accompanying library teach replica tensor network methods to compute circuit-averaged observables in random quantum circuits by mapping them to classical statistical mechanics models.