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Christoph Hirche

@christophhirche.bsky.social
177 followers 168 following 6 posts

Jun.-Prof. for Quantum Algorithms and Learning at the Leibniz University Hannover, Germany.

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Christoph Hirche @christophhirche.bsky.social · 30/09/2026
In a new preprint with Hao-Chung Cheng and @marcotomamichel.bsky.social, we give the exact strong converse exponent for the private capacity. The techniques used extend those recently put forward by my co-authors for the quantum capacity and include a new Renyi quantity. scirate.com/arxiv/2609.3...
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Mark M. Wilde @markwilde.bsky.social · 29/08/2026
New paper: Conditional contraction coefficients and their applications to quantum networks arxiv.org/abs/2608.27171 Joint work with @christophhirche.bsky.social , Ian George, and Theshani Nuradha Motivating question: How much information does a noisy quantum channel destroy?
arxiv.org
Conditional contraction coefficients and their applications to quantum networks
Contraction coefficients quantify the loss of distinguishability induced by a channel and provide a strong form of the data-processing inequality. While standard contraction coefficients ignore auxili...
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Quantum Journal @quantum-journal.bsky.social · 24/05/2026
Accepted and published in Quantum: Quantum Doeblin Coefficients: Interpretations and Applications by Ian George, Christoph Hirche, Theshani Nuradha, and Mark M. Wilde doi.org/10.22331/q-2...
quantum-journal.org
Quantum Doeblin Coefficients: Interpretations and Applications
Ian George, Christoph Hirche, Theshani Nuradha, and Mark M. Wilde, Quantum 10, 2115 (2026). In classical information theory, the Doeblin coefficient of a classical channel provides an efficiently computable...
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Differential Privacy Papers @dppapers.bsky.social · 26/01/2026
Information Contraction under $( varepsilon,δ)$-Differentially Private Mechanisms Theshani Nuradha, Ian George, Christoph Hirche arxiv.org/abs/2601.16845
Information Contraction under $( varepsilon,δ)$-Differentially Private Mechanisms

Theshani Nuradha, Ian George, Christoph Hirche

http://arxiv.org/abs/2601.16845

The distinguishability quantified by information measures after being processed by a private mechanism has been a useful tool in studying various statistical and operational tasks while ensuring privacy. To this end, standard data-processing inequalities and strong data-processing inequalities (SDPI) are employed. Most of the previously known and even tight characterizations of contraction of information measures, including total variation distance, hockey-stick divergences, and $f$-divergences, are applicable for $(\varepsilon,0)$-local differential private (LDP) mechanisms. In this work, we derive both linear and non-linear strong data-processing inequalities for hockey-stick divergence and $f$-divergences that are valid for all $(\varepsilon,δ)$-LDP mechanisms even when $δ\neq 0$. Our results either generalize or improve the previously known bounds on the contraction of these distinguishability measures.
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Mark M. Wilde @markwilde.bsky.social · 08/07/2025
Ian George, @christophhirche.bsky.social, Theshani Nuradha, & I have issued an update of our q. Doeblin coefficients paper: arxiv.org/abs/2503.22823 Main changes consist of an expanded section 8.5 on mixing, indistinguishability, & decoupling times of quantum Markov chains. See attached images
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Leibniz Universität Hannover (LUH) @unihannover.bsky.social · 22/05/2025
Cause for celebration: millions of euros in continued funding for research on photonics, measurements at the quantum frontier and personalised care for hearing loss. #LUH has been granted funding for three Clusters of Excellence and will apply for University of Excellence status.
uni-hannover.de
Outstanding success for LUH: three Clusters of Excellence granted funding
Leibniz University Hannover will apply for University of Excellence status.
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Mark M. Wilde @markwilde.bsky.social · 17/05/2025
Slides on "Quantum Doeblin Coefficients: Interpretations and Applications" available here: zenodo.org/records/1544... Joint work with Ian George, @christophhirche.bsky.social, and Theshani Nuradha
zenodo.org
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Christoph Hirche @christophhirche.bsky.social · 24/04/2025
New preprint in preparation for ISIT: With Oxana Shaya, "Partial orders and contraction for BISO channels" scirate.com/arxiv/2504.1... Within the BISO channels the BEC and BSC are extremal in many aspects. We extend this to additional partial orders and show what role contraction plays here.
scirate.com
Partial orders and contraction for BISO channels
A fundamental question in information theory is to quantify the loss of information under a noisy channel. Partial orders and contraction coefficients are typical tools to that end, however, they are ...
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Mark M. Wilde @markwilde.bsky.social · 01/04/2025
Joint work w/ Ian George, Christoph Hirche @christophhirche.bsky.social, & Theshani Nuradha "Quantum Doeblin Coefficients: Interpretations and Applications": arxiv.org/abs/2503.22823 Great collaboration & enjoyable project! Interpretations of q. Doeblin coefficients in attached tables
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Christoph Hirche @christophhirche.bsky.social · 10/03/2025
Thanks for hosting me at Cornell last week, @markwilde.bsky.social !
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Mark M. Wilde @markwilde.bsky.social · 24/02/2025
The next Cornell ECE FIND seminar speaker on March 6 will be @christophhirche.bsky.social: find.engineering.cornell.edu/seminar/talk... "New quantum f-divergences and their applications" Looking forward to it!
find.engineering.cornell.edu
Talk Information 03/06/2025 | FIND
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Christoph Hirche @christophhirche.bsky.social · 21/02/2025
New preprint: "Optimization Driven Quantum Circuit Reduction" w/ Bodo Rosenhahn & Tobias J. Osborne Transpiling quantum circuits well to specific gate sets is a hard but important problem near-term. We apply tools from ML to give an effective and scalable approach. scirate.com/arxiv/2502.1...
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Christoph Hirche @christophhirche.bsky.social · 13/02/2025
We're looking for a new addition to our group. Drop me a message if you're interested!
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Christoph Hirche @christophhirche.bsky.social · 08/01/2025
Trying this out by announcing our new preprint: Not too long ago, @marcotomamichel.bsky.social and I gave a new definition of quantum f-divergences. Now, we teamed up with Salman Beigi to dive deeper into their properties and how they relate to previous definitions: scirate.com/arxiv/2501.0...
scirate.com
Some properties and applications of the new quantum $f$-divergences
Recently, a new definition for quantum $f$-divergences was introduced based on an integral representation. These divergences have shown remarkable properties, for example when investigating contractio...
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