Robustness of Entanglement Manipulation for almost i.i.d. sources
Abstract
We study the robustness of asymptotic entanglement manipulation for Mazzola--Sutter--Renner (MSR) almost-iid sources, which allow a sublinear number of deviations from tensor-power structure. For pure sources along |ϕ⟩AB, every concentration rate below S(ϕA) is achievable by a single Schur--Weyl protocol depending only on the rate and local Hilbert spaces. For general sources along ρAB, every distillation rate below ED(ρAB) is achievable by a single LOCC protocol sequence independent of the particular source and defect size. Its error vanishes exponentially and uniformly for each prescribed defect bound rn=o(n), yielding an optimal universal distillation rate equal to ED(ρAB). For dilution, the entanglement cost of every MSR almost-iid target sequence along ρAB is at most EF∞(ρAB), the regularized entanglement of formation of the reference state. Consequently, every MSR almost-iid sequence along a pure reference state |ϕ⟩AB is asymptotically reversible, with distillable entanglement and entanglement cost equal to S(ϕA), even when its individual states are mixed. The proofs establish structural and entropic properties of MSR almost-iid sources that may be useful in other information-theoretic settings.
Related
- Entanglement manipulation and magic area-laws
- Optimising multipartite entanglement manipulation in quantum networks
- Entropy Concentration and Universal Typicality for Almost i.i.d. Quantum Sources
- SPLIT: Loosely-coherent inference of long-inspiral gravitational-wave sources for robustness against modeling and data outliers
- Parameter-Efficient Quantum NLP for Paraphrase Detection: Performance, Robustness, and Entanglement
BibTeX
@misc{datta2026robustness,
title = {{Robustness of Entanglement Manipulation for almost i.i.d. sources}},
author = {Nilanjana Datta},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2606.06392},
eprint = {2606.06392},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.06392},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Robustness of Entanglement Manipulation for almost i.i.d. sources
AU - Nilanjana Datta
PY - 2026
DA - 2026/10/08
PB - arXiv
DO - 10.48550/arxiv.2606.06392
UR - https://arxiv.org/abs/2606.06392
AB - We study the robustness of asymptotic entanglement manipulation for Mazzola--Sutter--Renner (MSR) almost-iid sources, which allow a sublinear number of deviations from tensor-power structure. For pure sources along |ϕ⟩_AB, every concentration rate below S(ϕ_A) is achievable by a single Schur--Weyl protocol depending only on the rate and local Hilbert spaces. For general sources along ρ_AB, every distillation rate below E_D(ρ_AB) is achievable by a single LOCC protocol sequence independent of the particular source and defect size. Its error vanishes exponentially and uniformly for each prescribed defect bound r_n=o(n), yielding an optimal universal distillation rate equal to E_D(ρ_AB). For dilution, the entanglement cost of every MSR almost-iid target sequence along ρ_AB is at most E_F^∞(ρ_AB), the regularized entanglement of formation of the reference state. Consequently, every MSR almost-iid sequence along a pure reference state |ϕ⟩_AB is asymptotically reversible, with distillable entanglement and entanglement cost equal to S(ϕ_A), even when its individual states are mixed. The proofs establish structural and entropic properties of MSR almost-iid sources that may be useful in other information-theoretic settings.
ER -