The stabilizer Rényi entropy governs the exponential rate at which Clifford orbits become indistinguishable from Haar-random states and sets the optimal distinguishability from stabilizer states in property testing.
Quantum state designs with clifford enhanced matrix product states
4 Pith papers cite this work. Polarity classification is still indexing.
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Introduces a minimal matchgate circuit representation for fermionic Gaussian states together with a Yang-Baxter update algorithm, then maps out entanglement transitions in unitary circuit games under braiding and generic matchgate rules.
Develops an optimization-free disentangling algorithm and algebraic criterion for efficient CAMPS representations of Clifford circuits doped with αI+βP gates, enabling polynomial classical simulation for more circuits including typical N-T-gate random instances.
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.
citing papers explorer
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Operational interpretation of the Stabilizer Entropy
The stabilizer Rényi entropy governs the exponential rate at which Clifford orbits become indistinguishable from Haar-random states and sets the optimal distinguishability from stabilizer states in property testing.
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Disentangling strategies and entanglement transitions in unitary circuit games with matchgates
Introduces a minimal matchgate circuit representation for fermionic Gaussian states together with a Yang-Baxter update algorithm, then maps out entanglement transitions in unitary circuit games under braiding and generic matchgate rules.
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Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states
Develops an optimization-free disentangling algorithm and algebraic criterion for efficient CAMPS representations of Clifford circuits doped with αI+βP gates, enabling polynomial classical simulation for more circuits including typical N-T-gate random instances.
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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.