The Triangle Criterion detects mixed-state magic, proves multi-qubit distillation is strictly stronger than single-qubit schemes, and identifies a purity bound plus undetectable unfaithful magic states.
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Cylindrical matter is a new beyond-quantum model that faithfully reproduces measurement statistics of some quantum pure-Ising systems with interactions decaying faster than 1/r^{3D/2}, allowing classical simulation.
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Triangle Criterion: a mixed-state magic criterion with applications in distillation and detection
The Triangle Criterion detects mixed-state magic, proves multi-qubit distillation is strictly stronger than single-qubit schemes, and identifies a purity bound plus undetectable unfaithful magic states.
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Cylindrical Matter: A beyond-quantum many-body system for efficient classical simulation of quantum pure-Ising like systems
Cylindrical matter is a new beyond-quantum model that faithfully reproduces measurement statistics of some quantum pure-Ising systems with interactions decaying faster than 1/r^{3D/2}, allowing classical simulation.