Entanglement purity in quadratic-phase states over finite fields is exactly determined by the rank of the phase matrix, with AME states existing precisely when all bipartition submatrices have full rank.
Gottesman,Stabilizer codes and quantum error cor- rection(California Institute of Technology, 1997)
8 Pith papers cite this work. Polarity classification is still indexing.
8
Pith papers citing it
citation-role summary
background 1
citation-polarity summary
fields
quant-ph 8years
2026 8roles
background 1polarities
background 1representative citing papers
Log-depth circuits suffice for average-case single-copy stabilizer learning with t=O(log n), but worst-case adaptive single-copy learning requires exp(t) samples.
A protocol for approximate error correction in quantum simulations of SU(2) lattice gauge theories that extracts gauge-violation syndromes via group QFT and applies iterative recovery sweeps called gauge cooling.
Logically encoded 24-photon FBQC resource states can be deterministically produced from 3 quantum emitters and 11 CNOT gates by using symmetries to reduce the search over photon emission orderings.
Coupling to mesoscopic reservoirs generates temperature-increasing entropic barriers that suppress topological defect creation and transport, yielding three-regime correlation lengths in 1D Ising chains and double error reduction in finite-size 2D toric codes.
Non-stabilizerness in the Hubbard dimer is quantified via robustness of magic and stabilizer Renyi entropy, revealing the latter's failure on mixed states and distinguishing it from non-Gaussianity and superselected entanglement.