The above constructive proof reveals that, if V has at least two distinct product states, then the number of distinct product states in V equals that in V ⊥, and is either 2 or +∞

Otherwise, |00⟩, |ab⟩ (|1¯b⟩, |¯a1⟩) are the only product states in V (V ⊥)

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quant-ph · 2024-12-27 · conditional · novelty 6.0

Adaptive local measurement strategies verify the three-qubit GHZ-W entangled subspace with sample complexity about 2.248 ε^{-1} ln δ^{-1}.

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GHZ-W Genuinely Entangled Subspace Verification with Adaptive Local Measurements quant-ph · 2024-12-27 · conditional · none · ref 4
Adaptive local measurement strategies verify the three-qubit GHZ-W entangled subspace with sample complexity about 2.248 ε^{-1} ln δ^{-1}.