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Robustness of Entanglement Manipulation for almost i.i.d. sources - methodology for quant-ph applications
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| name | entanglement-manipulation-robustness |
| description | Robustness of Entanglement Manipulation for almost i.i.d. sources - methodology for quant-ph applications |
| category | math-statistics-quantum |
| source_paper | arXiv:2606.06392 |
arXiv: 2606.06392 Authors: Nilanjana Datta Category: quant-ph Published: 2026-06-04
We study the robustness of asymptotic entanglement manipulation beyond the exact i.i.d. regime, focusing on Mazzola--Sutter--Renner (MSR) almost i.i.d. sources, which allow a sublinear number of deviations from a tensor-power structure. For pure MSR sources along a bipartite reference state, we prove that the entanglement concentration rate is robust: every rate below the entropy of entanglement remains achievable. Moreover, this can be done by a single Schur--Weyl concentration protocol that is universal within the MSR class, depending only on the reference state and not on the particular source sequence. For mixed MSR sources along a reference state, we prove a source-dependent entanglement-distillation achievability result: every rate below the coherent information of the reference state is achievable, although the entanglement distillation protocol may depend on the particular MSR source sequence. For the reverse task of entanglement dilution, we prove a rate-robustness theorem: the asymptotic entanglement cost of any MSR target sequence along the reference state is at most the regularized entanglement of formation of the reference state. To establish these results, we prove structural and entropic properties of MSR almost i.i.d. sequences which may be useful in other information-theoretic settings.
Keywords: robustness of entanglement manipulation for
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