188 citations · 1.3k across the 84 of their papers we have counts for
88 papers
Multi-entropy in random tensor networks
Miao Hu, Simon Lin, Ion Nechita
We study the evaluation of Rényi multi-entropies in Random Tensor Network (RTN) states in the large bond-dimension limit. For the case of Rényi index and arbitrar…
Quantum Graph Theory by Example
Gian Luca Spitzer, Ion Nechita
Quantum graphs have been introduced by Duan, Severini, and Winter to describe the zero-error behaviour of quantum channels. Since then, quantum graph theory has become a field of s…
Inclusion constants for free spectrahedra with applications to quantum incompatibility
Andreas Bluhm, Eric Evert, Igor Klep +2
Building on the matrix cube problem, inclusions of free spectrahedra have been used successfully to obtain relaxations of hard spectrahedral inclusion problems. The quality of such…
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…
Axion generation and detection in laser-plasma wakefields
Xiangyan An, Min Chen, Jianglai Liu +4
The axions are compelling candidates for cold dark matter, but their extremely weak interaction with photons makes laboratory searches challenging. We show that the quasi-static el…
Random covariant quantum channels
Ion Nechita, Sang-Jun Park
The group symmetries inherent in quantum channels often make them tractable and applicable to various problems in quantum information theory. In this paper, we introduce natural pr…
On the simulation of quantum multimeters
Andreas Bluhm, Leevi Leppäjärvi, Ion Nechita
In the quest for robust and universal quantum devices, the notion of simulation plays a crucial role, both from a theoretical and from an applied perspective. In this work, we go b…
Generating random Gaussian states
Leevi Leppäjärvi, Ion Nechita, Ritabrata Sengupta
We develop a method for the random sampling of (multimode) Gaussian states in terms of their covariance matrix, which we refer to as a random quantum covariance matrix (RQCM). We a…
Monogamy of highly symmetric states
Rene Allerstorfer, Matthias Christandl, Dmitry Grinko +4
We investigate the extent to which two particles can be maximally entangled when they are also similarly entangled with other particles on a complete graph, focusing on Werner, iso…
The -circular limit of random tensor flattenings
Stéphane Dartois, Camille Male, Ion Nechita
The tensor flattenings appear naturally in quantum information when one produces a density matrix by partially tracing the degrees of freedom of a pure quantum state. In this paper…
A physical noise model for quantum measurements
Faedi Loulidi, Ion Nechita, Clément Pellegrini
In this paper we introduce a novel noise model for quantum measurements motivated by an indirect measurement scheme with faulty preparation. Averaging over random dynamics governin…
Polytope compatibility -- from quantum measurements to magic squares
Andreas Bluhm, Ion Nechita, Simon Schmidt
Several central problems in quantum information theory (such as measurement compatibility and quantum steering) can be rephrased as membership in the minimal matrix convex set corr…
The Asymmetric Quantum Cloning Region
Ion Nechita, Clément Pellegrini, Denis Rochette
Quantum cloning is a fundamental protocol of quantum information theory. Perfect universal quantum cloning is prohibited by the laws of quantum mechanics, only imperfect copies bei…
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…
Ergodic theory of diagonal orthogonal covariant quantum channels
Satvik Singh, Nilanjana Datta, Ion Nechita
We analyze the ergodic properties of quantum channels that are covariant with respect to diagonal orthogonal transformations. We prove that the ergodic behaviour of a channel in th…
A Fisher information-based incompatibility criterion for quantum channels
Qing-Hua Zhang, Ion Nechita
We introduce a new incompatibility criterion for quantum channels, based on the notion of (quantum) Fisher information. Our construction is based on a similar criterion for quantum…
A tensor norm approach to quantum compatibility
Andreas Bluhm, Ion Nechita
Measurement incompatibility is one of the most striking examples of how quantum physics is different from classical physics. Two measurements are incompatible if they cannot arise…
Order preserving maps on quantum measurements
Teiko Heinosaari, Maria Anastasia Jivulescu, Ion Nechita
We study the partially ordered set of equivalence classes of quantum measurements endowed with the post-processing partial order. The post-processing order is fundamental as it ena…
Diagonal unitary and orthogonal symmetries in quantum theory II: Evolution operators
Satvik Singh, Ion Nechita
We study bipartite unitary operators which stay invariant under the local actions of diagonal unitary and orthogonal groups. We investigate structural properties of these operators…
Entanglement criteria for the bosonic and fermionic induced ensembles
Stephane Dartois, Ion Nechita, Adrian Tanasa
We introduce the bosonic and fermionic ensembles of density matrices and study their entanglement. In the fermionic case, we show that random bipartite fermionic density matrices h…
A geometrical description of the universal asymmetric quantum cloning region
Ion Nechita, Clément Pellegrini, Denis Rochette
We consider the problem of determining the achievable region of parameters for universal asymmetric quantum cloning. Measuring the cloning performance with the figure of…
Maximal violation of steering inequalities and the matrix cube
Andreas Bluhm, Ion Nechita
In this work, we characterize the amount of steerability present in quantum theory by connecting the maximal violation of a steering inequality to an inclusion problem of free spec…
Generating series and matrix models for meandric systems with one shallow side
Motohisa Fukuda, Ion Nechita
In this article, we investigate meandric systems having one shallow side: the arch configuration on that side has depth at most two. This class of meandric systems was introduced a…
Incompatibility in general probabilistic theories, generalized spectrahedra, and tensor norms
Andreas Bluhm, Anna Jenčová, Ion Nechita
In this work, we investigate measurement incompatibility in general probabilistic theories (GPTs). We show several equivalent characterizations of compatible measurements. The firs…