A fermionic permutation protocol on 2D nearest-neighbor grids achieves the optimal O(sqrt(N)) depth with O(N sqrt(N)) gates, no ancillas, and extends to Jordan-Wigner, Bravyi-Kitaev, and Parity encodings via Hilbert-curve layout.
A Sparse Model of Quantum Holography,
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The traversable wormhole transmission signal in coupled SYK models persists with less than 1.1% variation after 98% random coupling deletion, showing it is controlled by inter-system coupling alone.
Continuous-time probabilistic angle interpolation enables Trotter-error-free stochastic quantum evolution, demonstrated on H3+ ground-state energy and sparse SYK out-of-time-ordered correlators via simulations and trapped-ion hardware.
In a toy qubit model of quarks, baryons are fortuitous with exponential counting and super-exponential complexity while mesons are monotone with polynomial counting and power-law complexity.
Hard-core boson two-body models with random interactions exhibit chaotic spectral statistics, operator growth, and eigenstate properties approaching those of random matrices and the SYK model.
TETRIS-ADAPT-VQE achieves fidelities above 99.3% for SYK (N=20) and 99.9998% for SK (L=18) but requires large resources for SYK models.
citing papers explorer
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Asymptotically Optimal Depth Fermionic Permutation on 2D Grid Quantum Architecture without Ancillas
A fermionic permutation protocol on 2D nearest-neighbor grids achieves the optimal O(sqrt(N)) depth with O(N sqrt(N)) gates, no ancillas, and extends to Jordan-Wigner, Bravyi-Kitaev, and Parity encodings via Hilbert-curve layout.
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No chaos required: traversable wormhole signals survive 98% coupling deletion
The traversable wormhole transmission signal in coupled SYK models persists with less than 1.1% variation after 98% random coupling deletion, showing it is controlled by inter-system coupling alone.
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Continuous-time evolution via probabilistic angle interpolation and its applications
Continuous-time probabilistic angle interpolation enables Trotter-error-free stochastic quantum evolution, demonstrated on H3+ ground-state energy and sparse SYK out-of-time-ordered correlators via simulations and trapped-ion hardware.
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Fortuity and Complexity in a Simple Quark Model
In a toy qubit model of quarks, baryons are fortuitous with exponential counting and super-exponential complexity while mesons are monotone with polynomial counting and power-law complexity.
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Complexity of Quadratic Quantum Chaos
Hard-core boson two-body models with random interactions exhibit chaotic spectral statistics, operator growth, and eigenstate properties approaching those of random matrices and the SYK model.
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Ground state preparation of random all-to-all Hamiltonians using ADAPT-VQE
TETRIS-ADAPT-VQE achieves fidelities above 99.3% for SYK (N=20) and 99.9998% for SK (L=18) but requires large resources for SYK models.