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Zahra Baghali

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Articles by Zahra Baghali

Entanglement of purification for Werner states: canonical purification and nonadditivity

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By Zahra Baghali, Amir-Reza Negari
| arXiv
We prove that the von Neumann entanglement of purification is nonadditive. For two-qubit Werner states $W(f)$ with singlet weight $1/64\le f\le1/4$, we show that canonical purification is globally optimal: its entanglement, also known as reflected entropy, gives the exact entanglement of purification.
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[2610.02176] From Permutation Symmetry to Communication Bounds and Additivity

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By Zahra Baghali, Debbie Leung, Graeme Smith
| arXiv
Correlations across channel uses can improve quantum communication rates, making optimization over arbitrarily large blocks a central difficulty in determining quantum capacity. We show how full permutation invariance limits this advantage for every finite-dimensional memoryless channel. The optimized coherent information per use converges to the single-use maximum and consequently attains its supremum at a finite block length.
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[2504.07068] Quantum Reverse Shannon Theorem Revisited

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By Zahra Baghali, Debbie Leung
| arXiv
arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.
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[2208.11698] Rate-Distortion Theory for Mixed States

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By Debbie Leung, Zahra Baghali, Kohdai Kuroiwa
| arXiv
[Submitted on 24 Aug 2022 ( v1 ), last revised 7 May 2023 (this version, v2)] Title:Rate-Distortion Theory for Mixed States Download a PDF of the paper titled Rate-Distortion Theory for Mixed States, by Zahra Baghali Khanian and Kohdai Kuroiwa and Debbie Leung Download PDF Abstract: In this paper we consider the compression of asymptotically many i.i.d. copies of ensembles of mixed quantum states where the encoder has access to a side information system.
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