Proves unique stationary law for Clifford random monitored quantum circuits and computes leading asymptotics of steady magic, linear for odd-prime dimension mana and quadratic for qubit 2-stabilizer Rényi entropy.
Improved Classical Simulation of Quantum Circuits Dominated by
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Under local amplitude damping, GHZ-type states lose magic, regain it after entanglement death, and the rebirth threshold exactly mirrors the entanglement-death threshold: γ₊ = 1 − γₑ for every n.
A linear-time randomized static analysis that propagates constant-width bitstrings enables phase folding and T-count optimization matching SOTA tools on large circuits.
citing papers explorer
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Invariant Measures and Weak-Magic-Injection Asymptotics in Random Monitored Quantum Circuits
Proves unique stationary law for Clifford random monitored quantum circuits and computes leading asymptotics of steady magic, linear for odd-prime dimension mana and quadratic for qubit 2-stabilizer Rényi entropy.
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Sudden death of entanglement, rebirth of magic
Under local amplitude damping, GHZ-type states lose magic, regain it after entanglement death, and the rebirth threshold exactly mirrors the entanglement-death threshold: γ₊ = 1 − γₑ for every n.
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Linear-Time T-Gate Optimization via Random Abstraction
A linear-time randomized static analysis that propagates constant-width bitstrings enables phase folding and T-count optimization matching SOTA tools on large circuits.