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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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.
Stabilizer Rényi entropies and Pauli spectrum cumulants show universal power-law scaling with driving rate in slow processes across quantum phase transitions, with the logarithmic Pauli spectrum asymptotically Gaussian, demonstrated in the transverse-field Ising model and long-range Kitaev models.
Efficient witnesses and testing algorithms based on stabilizer Rényi entropy certify and quantify magic in mixed states, with experimental demonstration on IonQ hardware showing robustness under strong noise.
Reduced-state stabilizer Rényi entropy detects specific quantum phase transitions in the transverse ANNNI and quantum compass models via exact diagonalization and Jordan-Wigner methods.
citing papers explorer
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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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Universal Non-stabilizerness Dynamics Across Quantum Phase Transitions
Stabilizer Rényi entropies and Pauli spectrum cumulants show universal power-law scaling with driving rate in slow processes across quantum phase transitions, with the logarithmic Pauli spectrum asymptotically Gaussian, demonstrated in the transverse-field Ising model and long-range Kitaev models.
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Efficient witnessing and testing of magic in mixed quantum states
Efficient witnesses and testing algorithms based on stabilizer Rényi entropy certify and quantify magic in mixed states, with experimental demonstration on IonQ hardware showing robustness under strong noise.
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Reduced-State Stabilizer R\'enyi Entropy as a Probe of Quantum Criticality in the Transverse ANNNI Model and the Quantum Compass Model
Reduced-state stabilizer Rényi entropy detects specific quantum phase transitions in the transverse ANNNI and quantum compass models via exact diagonalization and Jordan-Wigner methods.