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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Above a critical noise strength, operator scrambling in random circuits is suppressed leading to classical simulability; below it, simulation stays exponentially hard.
Exact results show U(1) symmetry substantially suppresses non-stabilizerness in random states, with different leading scaling from entanglement near zero charge density.
Stabilizer Rényi entropy of 3-uniform hypergraph states equals a matrix-rank expression, cutting computation from exponential in 3N to polynomial in N times exponential in N.
Analytical and numerical study of stabilizer nullity and Rényi entropies in monitored Clifford circuits shows quantized decay for computational measurements and size-dependent relaxation to a non-trivial steady state for rotated bases.
Mutual information between non-contractible regions on the torus fully classifies long-range nonstabilizerness for toric-code states but leaves a finite subset undetected in the doubled-Fibonacci string-net model.
Non-stabilizerness of the Hubbard dimer is computed with robustness of magic and stabilizer Rényi entropy, revealing it as a resource distinct from fermionic non-Gaussianity and superselected entanglement.
A complexity quantifier for stabilizer quantum states is defined via Jordan and Lie products and linked to nonstabilizerness via the L^4-norm of characteristic functions.
Geometric study of non-stabilizerness in few-qubit systems via trace distance to the stabilizer polytope, with state sampling, measure comparisons, an analytical expression, facet classification, and a concentration bound linking it to entanglement.
citing papers explorer
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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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Noise-induced Simulability Transition from Operator Scrambling
Above a critical noise strength, operator scrambling in random circuits is suppressed leading to classical simulability; below it, simulation stays exponentially hard.
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Non-stabilizerness and U(1) symmetry in chaotic many-body quantum systems
Exact results show U(1) symmetry substantially suppresses non-stabilizerness in random states, with different leading scaling from entanglement near zero charge density.
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Stabilizer R\'enyi entropy of 3-uniform hypergraph states
Stabilizer Rényi entropy of 3-uniform hypergraph states equals a matrix-rank expression, cutting computation from exponential in 3N to polynomial in N times exponential in N.
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Rise and fall of nonstabilizerness via random measurements
Analytical and numerical study of stabilizer nullity and Rényi entropies in monitored Clifford circuits shows quantized decay for computational measurements and size-dependent relaxation to a non-trivial steady state for rotated bases.
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Long-range nonstabilizerness of topologically encoded states from mutual information
Mutual information between non-contractible regions on the torus fully classifies long-range nonstabilizerness for toric-code states but leaves a finite subset undetected in the doubled-Fibonacci string-net model.
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Quantum magic of strongly correlated fermions $-$ the Hubbard dimer
Non-stabilizerness of the Hubbard dimer is computed with robustness of magic and stabilizer Rényi entropy, revealing it as a resource distinct from fermionic non-Gaussianity and superselected entanglement.
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Complexity of quantum states in the stabilizer formalism
A complexity quantifier for stabilizer quantum states is defined via Jordan and Lie products and linked to nonstabilizerness via the L^4-norm of characteristic functions.
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A trace distance-based geometric analysis of the stabilizer polytope for few-qubit systems
Geometric study of non-stabilizerness in few-qubit systems via trace distance to the stabilizer polytope, with state sampling, measure comparisons, an analytical expression, facet classification, and a concentration bound linking it to entanglement.