Long-range measurement-only Clifford circuits display several entanglement and scrambling phases, including a structured-circuit phase with volume-law entanglement, long-range correlations, rapid ancilla purification, and no scrambling.
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A mapping from stabilizer generators to dual Ising spins converts hidden nonlocal order in stabilizer codes into observables with extensive quantum Fisher information density.
Measurement-only circuits realize gapless SPT phases with nontrivial edge states at criticality, including symmetry-enriched percolation in Ising models and persistent Z4 gSPT phases mapped to Majorana loop models.
citing papers explorer
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Entanglement and information scrambling in long-range measurement-only circuits
Long-range measurement-only Clifford circuits display several entanglement and scrambling phases, including a structured-circuit phase with volume-law entanglement, long-range correlations, rapid ancilla purification, and no scrambling.
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Assembling Extensive Quantum Fisher Information in Stabilizer Systems
A mapping from stabilizer generators to dual Ising spins converts hidden nonlocal order in stabilizer codes into observables with extensive quantum Fisher information density.
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Gapless Symmetry-Protected Topological States in Measurement-Only Circuits
Measurement-only circuits realize gapless SPT phases with nontrivial edge states at criticality, including symmetry-enriched percolation in Ising models and persistent Z4 gSPT phases mapped to Majorana loop models.