Quantum Information Theory

The Focus Group on Quantum Information Theory involves Hans Fischer Senior Fellow Prof. Andreas Winter (Universitat Autonoma de Barcelona) and his hosts Prof. Holger Boche (TUM School of Computation, Information and Technology) and Prof. Gerhard Kramer (Department of Electrical and Computer Engineering).

Secure data transfer today is largely based on complexity assumptions that might be rendered unreasonable by future quantum computers. Quantum communication opens up the possibility of physically verifiable privacy. But it offers many other potential applications and challenging theoretical problems. The standard approach to communication focuses on the transmission of messages, and in particular the notion of privacy is very much settled on a composable definition of statistical quality of secret keys. At the same time, few-user settings, such as Wyner’s wiretap channel, can be analysed using only the classic inequalities of the Shannon and von Neumann entropy in correlated systems. 

We are planning to branch out beyond the standard assumptions by considering security criteria in wiretap channels that are both weaker and more realistic than the standard setting. Likewise, we will develop a focus on identification via quantum channels, going beyond the Shannon paradigm, which offers many exciting open questions to work on. Finally, we will further quantum entropy inequalities beyond strong subadditivity; indeed, it is known since the 1990s that there are non-Shannon-type inequalities which govern classical network communication problems and multi-user secret sharing, but no such inequality has yet been proven for the von Neumann entropy, even though these classical inequalities have been conjectured to hold more generally fort he von Neumann entropy.

We hope that this research at the cutting edge of quantum information theory can feed into the existing important activities on 6G and molecular communication at the School of Computation, Information and Technology.

 

TUM-IAS funded doctoral candidate:

Pau Colomer, Chair of Theoretical Information Technology

 

Publications by the Focus Group

2023

  • Dabbabi, Ons; Salariseddigh, Mohammad J.; Deppe, Christian; Boche, Holger: Deterministic K-Identification For Binary Symmetric Channel. GLOBECOM 2023 - 2023 IEEE Global Communications Conference, IEEE, 2023 more…
  • Aniello, Paolo; L'Innocente, Sonia; Mancini, Stefano; Parisi, Vincenzo; Svampa, Ilaria; Winter, Andreas: Invariant measures on p-adic Lie groups: the p-adic quaternion algebra and the Haar integral on the p-adic rotation groups. , 2023 more…
  • Atif, Touheed Anwar; Pradhan, S. Sandeep; Winter, Andreas: Quantum soft-covering lemma with applications to rate-distortion coding, resolvability and identification via quantum channels. , 2023 more…
  • Bassoli, Riccardo; Boche, Holger; Deppe, Christian; Ferrara, Roberto; Fitzek, Frank H. P.; Janssen, Gisbert; Saeedinaeeni, Sajad: Quantenkommunikationsnetze. Springer International Publishing, 2023 more…
  • Chen, Xinan; Zhang, Yujie; Winter, Andreas; Lorenz, Virginia O.; Chitambar, Eric: Information Carried by a Single Particle in Quantum Multiple-Access Channels. , 2023 more…
  • Colomer, Pau; Winter, Andreas: Decoupling by local random unitaries without simultaneous smoothing, and applications to multi-user quantum information tasks. , 2023 more…
  • Fanizza, Marco; Galke, Niklas; Lumbreras, Josep; Rouzé, Cambyse; Winter, Andreas: Learning finitely correlated states: stability of the spectral reconstruction. , 2023 more…
  • Liss, Rotem; Mor, Tal; Winter, Andreas: Geometry of entanglement and separability in Hilbert subspaces of dimension up to three. , 2023 more…
  • Mamindlapally, Manideep; Winter, Andreas: Singleton Bounds for Entanglement-Assisted Classical and Quantum Error Correcting Codes. IEEE Transactions on Information Theory 69 (9), 2023, 5857-5868 more…
  • Piccolini, Matteo; Karczewski, Marcin; Winter, Andreas; Franco, Rosario Lo: Robust generation of $N$-partite $N$-level singlet states by identical particle interferometry. , 2023 more…
  • Rosenberger, Johannes; Deppe, Christian; Pereg, Uzi: Identification over quantum broadcast channels. Quantum Information Processing 22 (10), 2023 more…
  • Rosenberger, Johannes; Deppe, Christian; Pereg, Uzi: Identification over quantum broadcast channels. Quantum Information Processing 22 (10), 2023 more…
  • Rosenberger, Johannes; Ibrahim, Abdalla; Deppe, Christian; Ferrara, Roberto: Deterministic Identification Over Multiple-Access Channels. , 2023 more…
  • Rosenberger, Johannes; Pereg, Uzi; Deppe, Christian: Identification Over Compound Multiple-Input Multiple-Output Broadcast Channels. IEEE Transactions on Information Theory 69 (7), 2023, 4178-4195 more…
  • Salariseddigh, Mohammad Javad; Jamali, Vahid; Boche, Holger; Deppe, Christian; Schober, Robert: Deterministic Identification for MC Binomial Channel. 2023 IEEE International Symposium on Information Theory (ISIT), IEEE, 2023 more…
  • Salariseddigh, Mohammad Javad; Jamali, Vahid; Pereg, Uzi; Boche, Holger; Deppe, Christian; Schober, Robert: Deterministic Identification for Molecular Communications Over the Poisson Channel. IEEE Transactions on Molecular, Biological and Multi-Scale Communications 9 (4), 2023, 408-424 more…
  • Salek, Farzin; Winter, Andreas: New Protocols for Conference Key and Multipartite Entanglement Distillation. , 2023 more…
  • Schindler, Joseph; Winter, Andreas: Continuity bounds on observational entropy and measured relative entropies. Journal of Mathematical Physics 64 (9), 2023 more…
  • Spahovic, Muris; Salariseddigh, Mohammad J.; Deppe, Christian: Deterministic K-Identification for Slow Fading Channels. 2023 IEEE Information Theory Workshop (ITW), 2023 more…
  • Strasberg, Philipp; Winter, Andreas; Gemmer, Jochen; Wang, Jiaozi: Classicality, Markovianity, and local detailed balance from pure-state dynamics. Physical Review A 108 (1), 2023 more…
  • Torres-Figueroa, Luis; Ferrara, Roberto; Deppe, Christian; Boche, Holger: Message Identification for Task-Oriented Communications: Exploiting an Exponential Increase in the Number of Connected Devices. IEEE Internet of Things Magazine 6 (4), 2023, 42-47 more…
  • Wiese, Moritz; Labidi, Wafa; Deppe, Christian; Boche, Holger: Identification Over Additive Noise Channels in the Presence of Feedback. IEEE Transactions on Information Theory 69 (11), 2023, 6811-6821 more…
  • Xu, Zhen-Peng; Schwonnek, René; Winter, Andreas: Bounding the joint numerical range of Pauli strings by graph parameters. , 2023 more…

2022

  • Fanizza, Marco; Lumbreras, Josep; Winter, Andreas: Quantum theory in finite dimension cannot explain every general process with finite memory. , 2022 more…
  • Rosenberger, Johannes; Pereg, Uzi; Deppe, Christian: Identification over Compound MIMO Broadcast Channels. ICC 2022 - IEEE International Conference on Communications, IEEE, 2022 more…
  • Salariseddigh, Mohammad J.; Pereg, Uzi; Boche, Holger; Deppe, Christian: Deterministic Identification Over Channels With Power Constraints. IEEE Transactions on Information Theory 68 (1), 2022, 1-24 more…
  • Salariseddigh, Mohammad Javad; Jamali, Vahid; Pereg, Uzi; Boche, Holger; Deppe, Christian; Schober, Robert: Deterministic Identification For MC ISI-Poisson Channel. , 2022 more…