Universal two-copy quantum state purification under depolarizing noise requires magic resources that scale linearly with the fidelity gain, establishing an exact resource law for odd dimensions and tight bounds for multi-qubit systems.
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Exact results show U(1) symmetry substantially suppresses non-stabilizerness in random states, with different leading scaling from entanglement near zero charge density.
Classical simulation algorithms for low-magic adaptive quantum circuits with high Pauli measurement rates, demonstrated on all-to-all monitored circuits with sub-extensive T-gates to study measurement-induced phase transitions.
citing papers explorer
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A Nonstabilizerness Resource Law for Universal Quantum State Purification
Universal two-copy quantum state purification under depolarizing noise requires magic resources that scale linearly with the fidelity gain, establishing an exact resource law for odd dimensions and tight bounds for multi-qubit systems.
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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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Classical Simulations of Low Magic Quantum Dynamics
Classical simulation algorithms for low-magic adaptive quantum circuits with high Pauli measurement rates, demonstrated on all-to-all monitored circuits with sub-extensive T-gates to study measurement-induced phase transitions.