Researchers identified symplectic coherence as a necessary quantum resource in CV systems, joining non-Gaussianity and entanglement for computational universality.

Researchers identified symplectic coherence as a necessary quantum resource in CV systems, joining non-Gaussianity and entanglement for computational universality.
Developed perfect-sampling method computing magic Rényi entropy from matrix product states, enabling quantitative evaluation of fermionic non-Gaussianity in systems up to 128 sites with O(nD³) complexity per sample.
Establishes fundamental tradeoff between classical memory and magic states in quantum compilation: each bit of deferred memory costs ≥2 committed T-gates, with evidence supporting rate 3 under proposed equidistribution conjecture.
Determines when quantum symmetry testing can be performed optimally without quantum resources like coherence. Derives quantitative representation-theoretic bounds showing which resources are genuinely necessary for different symmetry subgroups.