Fundamental limits of repeaterless quantum communications.
TLDR
The fundamental rate-loss tradeoff affecting any protocol of quantum key distribution is determined, which sets the limits of point-to-point quantum communications and provides precise and general benchmarks for quantum repeaters.Abstract:
Quantum communications promises reliable transmission of quantum information, efficient distribution of entanglement and generation of completely secure keys. For all these tasks, we need to determine the optimal point-to-point rates that are achievable by two remote parties at the ends of a quantum channel, without restrictions on their local operations and classical communication, which can be unlimited and two-way. These two-way assisted capacities represent the ultimate rates that are reachable without quantum repeaters. Here, by constructing an upper bound based on the relative entropy of entanglement and devising a dimension-independent technique dubbed ‘teleportation stretching’, we establish these capacities for many fundamental channels, namely bosonic lossy channels, quantum-limited amplifiers, dephasing and erasure channels in arbitrary dimension. In particular, we exactly determine the fundamental rate-loss tradeoff affecting any protocol of quantum key distribution. Our findings set the limits of point-to-point quantum communications and provide precise and general benchmarks for quantum repeaters.read more
Citations
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Quantum internet: A vision for the road ahead
TL;DR: What it will take to achieve this so-called quantum internet is reviewed and different stages of development that each correspond to increasingly powerful applications are defined, including a full-blown quantum internet with functional quantum computers as nodes connected through quantum communication channels.
Journal ArticleDOI
Quantum resource theories
Eric Chitambar,Gilad Gour +1 more
TL;DR: This paper introduced a new development in theoretical quantum physics, the ''resource-theoretic'' point of view, which aims to be closely linked to experiment, and to state exactly what result you can hope to achieve for what expenditure of effort in the laboratory.
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Overcoming the rate-distance limit of quantum key distribution without quantum repeaters.
TL;DR: This work introduces an alternative scheme for QKD whereby pairs of phase-randomized optical fields are first generated at two distant locations and then combined at a central measuring station, enabling a form of quantum key distribution that can exceed the secret-key capacity without using quantum repeaters and that has security independent of the measuring devices.
Journal ArticleDOI
Advances in quantum cryptography
Stefano Pirandola,Ulrik L. Andersen,Leonardo Banchi,Mario Berta,Darius Bunandar,Roger Colbeck,Dirk Englund,Tobias Gehring,Cosmo Lupo,Carlo Ottaviani,Jason Pereira,Mohsen Razavi,Jesni Shamsul Shaari,Marco Tomamichel,Vladyslav C. Usenko,Giuseppe Vallone,Paolo Villoresi,Petros Wallden +17 more
TL;DR: This review begins by reviewing protocols of quantum key distribution based on discrete variable systems, and considers aspects of device independence, satellite challenges, and high rate protocols based on continuous variable systems.
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Secure quantum key distribution with realistic devices
TL;DR: This review gives both sides of the story, with the current best theory of quantum security, and an extensive survey of what makes quantum cryptosystem safe in practice.
References
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Book
Quantum Computation and Quantum Information
TL;DR: In this article, the quantum Fourier transform and its application in quantum information theory is discussed, and distance measures for quantum information are defined. And quantum error-correction and entropy and information are discussed.
Quantum Computation and Quantum Information
TL;DR: This chapter discusses quantum information theory, public-key cryptography and the RSA cryptosystem, and the proof of Lieb's theorem.
Journal ArticleDOI
Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
Charles H. Bennett,Gilles Brassard,Claude Crépeau,Richard Jozsa,Asher Peres,William K. Wootters +5 more
TL;DR: An unknown quantum state \ensuremath{\Vert}\ensure Math{\varphi}〉 can be disassembled into, then later reconstructed from, purely classical information and purely nonclassical Einstein-Podolsky-Rosen (EPR) correlations.
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Quantum Cryptography
TL;DR: The author revealed that quantum teleportation as “Quantum one-time-pad” had changed from a “classical teleportation” to an “optical amplification, privacy amplification and quantum secret growing” situation.