Exact entanglement embezzlement self-tests d Cuntz isometries per party and a unique quasi-free state on O_d, with the generated von Neumann algebra identified as the unique separable AFD Type III_λ factor determined by Schmidt coefficients.
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Derives model-independent lower bounds on Reeh-Schlieder state preparation cost from modular theory, explicit via Bisognano-Wichmann for wedges and Casini-Huerta-Myers for CFT regions.
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Self-testing of exact entanglement embezzlement
Exact entanglement embezzlement self-tests d Cuntz isometries per party and a unique quasi-free state on O_d, with the generated von Neumann algebra identified as the unique separable AFD Type III_λ factor determined by Schmidt coefficients.
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Modular Lower Bounds on Reeh-Schlieder State Preparation
Derives model-independent lower bounds on Reeh-Schlieder state preparation cost from modular theory, explicit via Bisognano-Wichmann for wedges and Casini-Huerta-Myers for CFT regions.