89 citations · 337 across the 21 of their papers we have counts for
21 papers
Moment-based PPT criteria for random bipartite states
Cécilia Lancien, Kieran McShane
Moment-based relaxations of the positive partial transpose (PPT) criterion have been recently introduced, as a hierarchy of entanglement criteria involving only experimentally acce…
Random measurements are almost maximally incompatible
Andreas Bluhm, Cécilia Lancien, Ion Nechita
In this work, we investigate the incompatibility of random quantum measurements. Most previous work has focused on characterizing the maximal amount of white noise that any fixed n…
A note on quantum expanders
Cécilia Lancien, Pierre Youssef
We prove that a wide class of random quantum channels with few Kraus operators, sampled as random matrices with some sparsity and moment assumptions, typically exhibit a large spec…
Estimating the entanglement of random multipartite quantum states
Khurshed P. Fitter, Cecilia Lancien, Ion Nechita
Genuine multipartite entanglement of a given multipartite pure quantum state can be quantified through its geometric measure of entanglement, which, up to logarithms, is simply the…
Random tensor networks with nontrivial links
Newton Cheng, Cécilia Lancien, Geoff Penington +2
Random tensor networks are a powerful toy model for understanding the entanglement structure of holographic quantum gravity. However, unlike holographic quantum gravity, their enta…
Multipartite entanglement detection via projective tensor norms
Maria Anastasia Jivulescu, Cécilia Lancien, Ion Nechita
We introduce and study a class of entanglement criteria based on the idea of applying local contractions to an input multipartite state, and then computing the projective tensor no…
Weak approximate unitary designs and applications to quantum encryption
Cécilia Lancien, Christian Majenz
Unitary -designs are the bread and butter of quantum information theory and beyond. An important issue in practice is that of efficiently constructing good approximations of suc…
Correlation length in random MPS and PEPS
Cécilia Lancien, David Pérez-García
Tensor network states are used extensively as a mathematically convenient description of physically relevant states of many-body quantum systems. Those built on regular lattices, i…
High-Dimensional Entanglement in States with Positive Partial Transposition
Marcus Huber, Ludovico Lami, Cécilia Lancien +1
Genuine high-dimensional entanglement, i.e. the property of having a high Schmidt number, constitutes a resource in quantum communication, overcoming limitations of low-dimensional…
de Finetti reductions for partially exchangeable probability distributions
Ivan Bardet, Cécilia Lancien, Ion Nechita
We introduce a general framework for de Finetti reduction results, applicable to various notions of partially exchangeable probability distributions. Explicit statements are derive…
Random private quantum states
Matthias Christandl, Roberto Ferrara, Cécilia Lancien
The study of properties of randomly chosen quantum states has in recent years led to many insights into quantum entanglement. In this work, we study private quantum states from thi…
Approximating quantum channels by completely positive maps with small Kraus rank
Cécilia Lancien, Andreas Winter
We study the problem of approximating a quantum channel by one with as few Kraus operators as possible (in the sense that, for any input state, the output states of the two channel…
High dimension and symmetries in quantum information theory
Cécilia Lancien
If a one-phrase summary of the subject of this thesis were required, it would be something like: miscellaneous large (but finite) dimensional phenomena in quantum information theor…
Random quantum correlations are generically non-classical
Carlos González-Guillén, Cécilia Lancien, Carlos Palazuelos +1
It is now a well-known fact that the correlations arising from local dichotomic measurements on an entangled quantum state may exhibit intrinsically non-classical features. In this…
Flexible constrained de Finetti reductions and applications
Cécilia Lancien, Andreas Winter
De Finetti theorems show how sufficiently exchangeable states are well-approximated by convex combinations of i.i.d. states. Recently, it was shown that in many quantum information…
Should Entanglement Measures be Monogamous or Faithful?
Cécilia Lancien, Sara Di Martino, Marcus Huber +3
"Is entanglement monogamous?" asks the title of a popular article [B. Terhal, IBM J. Res. Dev. 48, 71 (2004)], celebrating C. H. Bennett's legacy on quantum information theory. Whi…
Parallel repetition and concentration for (sub-)no-signalling games via a flexible constrained de Finetti reduction
Cécilia Lancien, Andreas Winter
We use a recently discovered constrained de Finetti reduction (aka "Post-Selection Lemma") to study the parallel repetition of multi-player non-local games under no-signalling stra…
-extendibility of high-dimensional bipartite quantum states
Cécilia Lancien
The idea of detecting the entanglement of a given bipartite state by searching for symmetric extensions of this state was first proposed by Doherty, Parrilo and Spedialeri. The com…
Relaxations of separability in multipartite systems: Semidefinite programs, witnesses and volumes
Cécilia Lancien, Otfried Gühne, Ritabrata Sengupta +1
While entanglement is believed to be an important ingredient in understanding quantum many-body physics, the complexity of its characterization scales very unfavorably with the siz…
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…