De Finetti representation theorem for infinite-dimensional quantum systems and applications to quantum cryptography.

By Renato Renner, J. I. Cirac. Physical Review Letters, 2008

307 citations recorded by the source corpus.

We show that the quantum de Finetti theorem holds for states on infinite-dimensional systems, provided they satisfy certain experimentally verifiable conditions. This result can be applied to prove the security of quantum key distribution based on weak coherent states or other continuous variable states against general attacks.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/abfab8fc3491625146100e0dd8ca99e6ed064e59

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In Artificial Intelligence

In Atomic and Molecular Physics, and Optics

Citations in the corpus

The security of practical quantum key distribution (2008, methodology): “On the one hand, a new exponential de Finetti theorem has been presented, which would apply to infinite-dimensional systems under some assumptions that are fulfilled in CV QKD (Renner and Cirac, 2009; ?).”
Distributing Secret Keys with Quantum Continuous Variables: Principle, Security and Implementations (2015, methodology): “In general, one can either prove security against arbitrary attacks directly, for instance using the uncertainty principle as in [38,39] following the results from [40], or one can first establish security against collective attacks (in the finite-size regime) and obtain a security claim against arb”
Self-referenced continuous-variable quantum key distribution protocol (2015, background): “We note that since SR-CV-QKD is a Gaussian protocol, security against collective attacks is sufﬁcient for asymptotic unconditional security (i.e., security against coherent attacks) with some processing overhead [27, 28].”
Advances in quantum cryptography (2019, unknown): “The most general coherent attack can be reduced by applying de Finetti random permutations [54] which allow the parties to neglect possible correlations established by Eve between different rounds of the protocol.”
Continuous‐Variable Quantum Key Distribution with Gaussian Modulation—The Theory of Practical Implementations (2017, methodology): “Further efforts to prove the security against coherent attacks (the strongest possible attack) have been eased by two ideas: The first is the reduction of coherent attacks to collective attacks using the de Finetti representation theorem for infinite dimensions [40].”