
Our expert background
Our technology builds on solid academic research. Strong background and expertise are crucial for achieving success in quantum technologies. This is particularly true for the very complex area of quantum networks and security.
Below is a selection of scientific papers from our staff.

Popular reviews in quantum technologies
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Unite to build a quantum Internet, S Pirandola, SL Braunstein, Nature 532, 169-171 (2016)
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Advances in quantum cryptography, S. Pirandola, et al, Adv. Opt. Phot. 12, 1012-1236 (2020)
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Gaussian quantum information, C. Weedbrook, S. Pirandola et al, Rev. Mod. Phys. 84, 621 (2012)
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Quantum information with continuous variables, S. L. Braunstein, P. Van Loock, Rev. Mod. Phys. 77, 513 (2005)
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Advances in quantum teleportation, S. Pirandola et al, Nature Photon 9, 641–652 (2015)
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Advances in photonic quantum sensing, S. Pirandola et al, Nature Photonics 12, 724-733 (2015)
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Advances in space quantum communications, IET Quantum Communication 2, 182-217 (2021)
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Quantum-enhanced measurements without entanglement, Rev. Mod. Phys. 90, 035006 (2018)

Capacities of quantum communications and networks
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Fundamental limits of repeaterless quantum communications, S. Pirandola, R. Laurenza, C. Ottaviani, L. Banchi
Nature Communications 8, 15043 (2017) -
Direct and Reverse Secret-Key Capacities of a Quantum Channel, S. Pirandola et al, Phys. Rev. Lett. 102, 050503 (2009)
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Enhanced energy-constrained quantum communication over bosonic Gaussian channels, K. Noh, S. Pirandola, L. Jiang, Nature Communications 11, 457 (2020)
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Theory of channel simulation and bounds for private communication, S. Pirandola, S. L Braunstein, R. Laurenza, C. Ottaviani, T. P. W. Cope, G. Spedalieri, L. Banchi, Quantum Science and Technology 3, 035009 (2018)
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General upper bound for conferencing keys in arbitrary quantum networks, S. Pirandola, IET Quantum Communication 1, 22-25 (2020)
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Capacity-approaching quantum repeaters for quantum communications, M. Ghalaii, S. Pirandola, Physical Review A 102, 062412 (2020)
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Converse bounds for quantum and private communication over Holevo–Werner channels, T. P. W. Cope, K. Goodenough, S. Pirandola, Journal of Physics A: Mathematical and Theoretical 51, 494001 (2018)
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General bounds for sender-receiver capacities in multipoint quantum communications, R. Laurenza, S. Pirandola, Physical Review A 96, 032318 (2017)
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End-to-end capacities of a quantum communication network, S. Pirandola, Communication Phys 2, 51 (2019)
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Bounds for multi-end communication over quantum networks, S. Pirandola, Quantum Science and Technology 4, 045006 (2019)
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Analytical Methods for High-Rate Global Quantum Networks, C. Harney, S. Pirandola, PRX Quantum 3, 010349 (2022)
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End-To-End Capacities of Hybrid Quantum Networks, C. Harney, A. I. Fletcher, S. Pirandola, Phys. Rev. Applied 18, 014012 (2022)
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Rate limits in quantum networks with lossy repeaters, R. Laurenza, N. Walk, J. Eisert, S. Pirandola, Phys. Rev. Research 4, 023158 (2022)
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End-to-end capacities of imperfect-repeater quantum networks, C. Harney, S. Pirandola, Quantum Sci. Technol. 7, 045009 (2022)

Quantum security
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Improved composable key rates for CV-QKD, S Pirandola, P. Papanastasiou, arXiv 2023
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Composable security for continuous variable quantum key distribution: Trust levels and practical key rates in wired and wireless networks, S. Pirandola, Phys. Rev. Research 3, 043014 (2021)
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Limits and security of free-space quantum communications, S. Pirandola, Phys. Rev. Research 3, 013279 (2021)
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Satellite quantum communications: Fundamental bounds and practical security, S. Pirandola, Phys. Rev. Research 3, 023130 (2021)
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Continuous-variable quantum cryptography with discrete alphabets: Composable security under collective Gaussian attacks, S. Pirandola, P. Papanastasiou, Phys. Rev. Research 3, 013047 (2021)
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Quantum communications in a moderate-to-strong turbulent space, S. Pirandola, M. Ghalaii, Communications Physics 5, 38 (2022)
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Composably secure data processing for Gaussian-modulated continuous-variable quantum key distribution, A. G. Mountogiannakis, P. Papanastasiou, B. Braverman, S. Pirandola, Phys. Rev. Research 4, 013099 (2022)
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Data postprocessing for the one-way heterodyne protocol under composable finite-size security, A. G. Mountogiannakis, P. Papanastasiou, S. Pirandola Physical Review A 106, 042606 (2022)
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Composable end-to-end security of Gaussian quantum networks with untrusted relays, M. Ghalaii, P. Papanastasiou, S. Pirandola, npj Quantum Information 8, 105 (2022)
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Hacking Alice's box in continuous-variable quantum key distribution, J. Pereira, S. Pirandola, Physical Review A 98, 062319 (2018)
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Continuous-variable quantum key distribution in uniform fast-fading channels, P. Papanastasiou, C. Weedbrook, S. Pirandola, Physical Review A 97, 032311 (2018)
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Finite-size analysis of measurement-device-independent quantum cryptography with continuous variables, P. Papanastasiou, C. Ottaviani, S. Pirandola, Physical Review A 96, 042332 (2017)
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Gaussian two-mode attacks in one-way quantum cryptography, C. Ottaviani, S. Mancini, S. Pirandola, Physical Review A 95, 052310 (2017)
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General immunity and superadditivity of two-way Gaussian quantum cryptography, C. Ottaviani, S. Pirandola, Sci. Rep. 6, 22225 (2016)
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Continuous-variable quantum cryptography with an untrusted relay: Detailed security analysis of the symmetric configuration, C. Ottaviani, G. Spedalieri, S. L. Braunstein, S. Pirandola, Physical Review A 91, 022320 (2015)
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Two-way Gaussian quantum cryptography against coherent attacks in direct reconciliation, C. Ottaviani, S. Mancini, S. Pirandola, Physical Review A 92, 062323 (2015)
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Quantum discord as a resource for quantum cryptography, S. Pirandola, Sci. Rep. 4, 6956 (2014)
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Characterization of Collective Gaussian Attacks and Security of Coherent-State Quantum Cryptography
S. Pirandola, S. L. Braunstein, S. Lloyd, Phys. Rev. Lett. 101, 200504 (2008)

QKD protocols
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Side-Channel-Free Quantum Key Distribution, S. L. Braunstein, S. Pirandola, Phys. Rev. Lett. 108, 130502 (2012)
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High-rate measurement-device-independent quantum cryptography, S. Pirandola, C. Ottaviani, G. Spedalieri et al, Nature Photonics 9, 397–402 (2015)
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Secure Quantum Pattern Communication, C. Harney, S. Pirandola, PRX Quantum 3, 010311 (2022)
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Terahertz Quantum Cryptography, C. Ottaviani et al, IEEE JSAC 38, 483-495 (2020)
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Long-distance continuous-variable measurement-device-independent quantum key distribution with postselection
K. N. Wilkinson, P. Papanastasiou, C. Ottaviani, T. Gehring, S. Pirandola, Phys. Rev. Research 2, 033424 (2020) -
Modular network for high-rate quantum conferencing, C. Ottaviani, C. Lupo, R. Laurenza, S. Pirandola, Communications Physics 2, 118 (2019)
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Continuous-variable quantum cryptography using two-way quantum communication, S. Pirandola, S. Mancini, S. Lloyd, S. L. Braunstein, Nature Physics 4, 726–730 (2008)

Recent experiments in quantum cryptography
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Practical continuous-variable quantum key distribution with composable security, N. Jain, H.-M. Chin, H. Mani, C. Lupo, D. S. Nikolic, A. Kordts, S. Pirandola, T. B. Pedersen, M. Kolb, B. Ömer, C. Pacher, T. Gehring, U. L. Andersen, Nature Communications 13, 4740 (2022)
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Scalable Authentication and Optimal Flooding in a Quantum Network, N. R. Solomons, A. I. Fletcher, D. Aktas, N. Venkatachalam, S. Wengerowsky, M. Lončarić, S. P. Neumann, B. Liu, Ž. Samec, M. Stipčević, R. Ursin, S. Pirandola, J. G. Rarity, S. K. Joshi, PRX Quantum 3, 020311 (2022)
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Homodyne-based quantum random number generator at 2.9 Gbps secure against quantum side-information, T. Gehring, C. Lupo, A. Kordts, D. S. Nikolic, N. Jain, T. Rydberg, T. B. Pedersen, S. Pirandola, U. L. Andersen, Nature Communications 12, 605 (2021)
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Long-Distance Continuous-Variable Quantum Key Distribution over 202.81 km of Fiber, Y. Zhang, Z. Chen, S. Pirandola, X. Wang, C. Zhou, B. Chu, Y. Zhao, B. Xu, S. Yu, H. Guo, Phys. Rev. Lett. 125, 010502 (2020)