75 citations · 508 across the 29 of their papers we have counts for
16 papers · 1 filter
Monogamy of entanglement between cones
Guillaume Aubrun, Alexander Müller-Hermes, Martin Plávala
A separable quantum state shared between parties and can be symmetrically extended to a quantum state shared between party and parties for every $k\in…
Annihilating Entanglement Between Cones
Guillaume Aubrun, Alexander Müller-Hermes
Every multipartite entangled quantum state becomes fully separable after an entanglement breaking quantum channel acted locally on each of its subsystems. Whether there are other q…
Entanglement and superposition are equivalent concepts in any physical theory
Guillaume Aubrun, Ludovico Lami, Carlos Palazuelos +1
We prove that any two general probabilistic theories (GPTs) are entangleable, in the sense that their composite exhibits either entangled states or entangled measurements, if and o…
Universal entangleability of non-classical theories
Guillaume Aubrun, Ludovico Lami, Carlos Palazuelos
Inspired by its fundamental importance in quantum mechanics, we define and study the notion of entanglement for abstract physical theories, investigating its profound connection wi…
Universal gaps for XOR games from estimates on tensor norm ratios
Guillaume Aubrun, Ludovico Lami, Carlos Palazuelos +2
We define and study XOR games in the framework of general probabilistic theories, which encompasses all physical models whose predictive power obeys minimal requirements. The bias…
Dvoretzky's Theorem and the Complexity of Entanglement Detection
Guillaume Aubrun, Stanislaw Szarek
The well-known Horodecki criterion asserts that a state on is entangled if and only if there exists a positive map $Φ: \mathsf{M}_d \to \mat…
Locally restricted measurements on a multipartite quantum system: data hiding is generic
Guillaume Aubrun, Cécilia Lancien
We study the distinguishability norms associated to families of locally restricted POVMs on multipartite systems. These norms (introduced by Matthews, Wehner and Winter) quantify h…
Zonoids and sparsification of quantum measurements
Guillaume Aubrun, Cécilia Lancien
In this paper, we establish a connection between zonoids (a concept from classical convex geometry) and the distinguishability norms associated to quantum measurements, or POVMs (P…
Phase transitions for random states and a semi-circle law for the partial transpose
Guillaume Aubrun, Stanislaw J. Szarek, Deping Ye
For a system of N identical particles in a random pure state, there is a threshold k_0 = k_0(N) ~ N/5 such that two subsystems of k particles each typically share entanglement if k…
Entanglement thresholds for random induced states
Guillaume Aubrun, Stanislaw J. Szarek, Deping Ye
For a random quantum state on obtained by partial tracing a random pure state on , we consider the whether it is typically separable or typically…
Hastings' additivity counterexample via Dvoretzky's theorem
Guillaume Aubrun, Stanislaw Szarek, Elisabeth Werner
The goal of this note is to show that Hastings' counterexample to the additivity of minimal output von Neumann entropy can be readily deduced from a sharp version of Dvoretzky's th…
Non-additivity of Renyi entropy and Dvoretzky's Theorem
Guillaume Aubrun, Stanislaw Szarek, Elisabeth Werner
The goal of this note is to show that the analysis of the minimum output p-Renyi entropy of a typical quantum channel essentially amounts to applying Milman's version of Dvoretzky'…
A remark on the paper ``Randomizing quantum states: Constructions and applications''
Guillaume Aubrun
The concept of $\e$-randomizing quantum channels has been introduced by Hayden, Leung, Shor and Winter in connection with approximately encrypting quantum states. They proved using…
Stochastic domination for iterated convolutions and catalytic majorization
Guillaume Aubrun, Ion Nechita
We study how iterated convolutions of probability measures compare under stochastic domination. We give necessary and sufficient conditions for the existence of an integer such…
Catalytic majorization and norms
Guillaume Aubrun, Ion Nechita
An important problem in quantum information theory is the mathematical characterization of the phenomenon of quantum catalysis: when can the surrounding entanglement be used to per…
Tensor products of convex sets and the volume of separable states on N qudits
Guillaume Aubrun, Stanislaw J. Szarek
This note deals with estimating the volume of the set of separable mixed quantum states when the dimension of the state space grows to infinity. This has been studied recently for…