LELlorenç Escolà-Farràs

Llorenç Escolà-Farràs

*This is an algorithmically generated author record based on publicly available information.

Current Organizations / Institutes

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Previous Organizations / Institutes

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Llorenç Escolà-Farràs has a total of 13 co-authors. Here are the top co-authors by number of shared publications:


Latest Publications

  • Open Access

    Making Existing Quantum Position Verification Protocols Secure Against Arbitrary Transmission Loss

    by Rene Allerstorfer, Andreas Bluhm, Harry Buhrman, Matthias Christandl, Llorenç Escolà-Farràs, Florian Speelman, Philip Verduyn Lunel

    Signal loss threatens the security of quantum cryptography, especially in quantum position verification (QPV) protocols, where even small losses can compromise security. This Letter modifies traditional QPV to make high transmission loss between verifiers and the prover irrelevant for a class of protocols, including a practically interesting one based on BB84 states ( QPV BB 84 f ). Using photon presence detection and a small time delay, as well as a commitment before proceeding, the protocol’s relevant loss rate is reduced to only that of the prover’s lab, and the modified protocol has essentially the same security guarantees as the original one. The adapted protocol c − QPV BB 84 f thus offers strong security guarantees and feasibility over longer distances. We also discuss the practical implementation of the protocol and parameter estimates.


  • Continuous-variable quantum position verification secure against entangled attackers

    by Llorenç Escolà-Farràs, Arpan Akash Ray, Rene Allerstorfer, Boris Škorić, Florian Speelman


  • Open Access

    A quantum cloning game with applications to quantum position verification

    by Llorenç Escolà-Farràs, Léo Colisson Palais, Florian Speelman

    We introduce a quantum cloning game in which $k$ separate collaborative parties receive a classical input, determining which of them has to share a maximally entangled state with an additional party (referee). We provide the optimal winning probability of such a game for every number of parties $k$, and show that it decays exponentially when the game is played $n$ times in parallel. These results have applications to quantum cryptography, in particular in the topic of quantum position verification, where we show security of the routing protocol (played in parallel), and a variant of it, in the random oracle model.

  • Single-Qubit Loss-Tolerant Quantum Position Verification Protocol Secure against Entangled Attackers

    by Llorenç Escolà-Farràs, Florian Speelman

    We give a tight characterization of the relation between loss tolerance and error rate of the most popular protocol for quantum position verification, which is based on BB84 states. Combining it with classical information, we show, using semidefinite programming, for the first time a fault-tolerant protocol that is secure against attackers who preshare a linear amount of entanglement (in the classical information), arbitrarily slow quantum information and that tolerates a certain amount of photon loss. We also extend this analysis to the case of more than two bases, showing even stronger loss tolerance for that case. Finally, we show that our techniques can be applied to improve the analysis of one-sided device-independent quantum key distribution protocols.


  • Quantifying causal influence in quantum mechanics

    by Llorenç Escolà-Farràs, Daniel Braun

    We extend Pearl's definition of causal influence to the quantum domain, where two quantum systems A, B with finite-dimensional Hilbert space are embedded in a common environment C and propagated with a joint unitary U. For a finite-dimensional Hilbert space C, we find the necessary and sufficient condition on U for a causal influence of A on B and vice versa. We introduce an easily computable measure of the causal influence and use it to study the causal influence of different quantum gates, its mutuality, and quantum superpositions of different causal orders. For two two-level atoms dipole-interacting with a thermal bath of electromagnetic waves, the space-time dependence of causal influence almost perfectly reproduces the one of reservoir-induced entanglement.


  • Open Access

    All tight correlation Bell inequalities have quantum violations

    by Llorenç Escolà, John Calsamiglia, Andreas Winter

    It is by now well established that there exist nonlocal games for which the best entanglement-assisted performance is not better than the best classical performance. Here we show in contrast that any two-player XOR game, for which the corresponding Bell inequality is tight, has a quantum advantage. In geometric terms, this means that any correlation Bell inequality for which the classical and quantum maximum values coincide, does not define a facet, i.e., a face of maximum dimension, of the local (Bell) polytope. Indeed, using semidefinite programming duality, we prove upper bounds on the dimension of these faces, bounding it far away from the maximum. In the special case of nonlocal computation games, it had been shown before that they are not facet defining; our result generalizes and improves this. As a by-product of our analysis, we find a similar upper bound on the dimension of the faces of the convex body of quantum correlation matrices, showing that (except for the trivial ones expressing the non-negativity of probability) it does not have facets.