From the 1 of 5 linked papers with an AI index.
5 papers
Moment-based PPT criteria for random bipartite states
Cécilia Lancien, Kieran McShane
The paper analyzes how moment‑based relaxations of the positive partial transpose (PPT) entanglement test perform on random high‑dimensional bipartite states, identifying a scaling…
Correlation length in random MPS and PEPS
Cécilia Lancien, David Pérez-GarcÃa
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…
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 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…