158 citations · 526 across the 25 of their papers we have counts for
25 papers
Holographic quantum codes with trapped ions
Alex Steiner, Gerard Anglès Munné, Robert Freund +9
Holography is a central concept at the intersection of gravity, condensed matter theory, and quantum information, linking the interior bulk of a system to its boundary. A model rea…
Entanglement detection with trace polynomials
Albert Rico, Felix Huber
We provide a systematic method for nonlinear entanglement detection based on trace polynomial inequalities. In particular, this allows to employ multi-partite witnesses for the det…
Bell inequalities with overlapping measurements
Moisés Bermejo Morán, Alejandro Pozas-Kerstjens, Felix Huber
Which nonlocal correlations can be obtained, when a party has access to more than one subsystem? While traditionally nonlocality deals with spacelike separated parties, this questi…
Refuting spectral compatibility of quantum marginals
Felix Huber, Nikolai Wyderka
The spectral variant of the quantum marginal problem asks: Given prescribed spectra for a set of overlapping quantum marginals, does there exist a compatible joint state? The main…
Engineering holography with stabilizer graph codes
Gerard Anglès Munné, Valentin Kasper, Felix Huber
The discovery of holographic codes established a surprising connection between quantum error correction and the anti-de Sitter-conformal field theory correspondence. Recent technol…
3D homogenization of the T-A formulation for the analysis of coils with complex geometries
Carlos Roberto Vargas-Llanos, Felix Huber, Nicolo Riva +2
The modeling and analysis of superconducting coils is an essential task in the design stage of most devices based on high-temperature superconductors (HTS). These calculations allo…
Training Characteristic Functions with Reinforcement Learning: XAI-methods play Connect Four
Stephan Wäldchen, Felix Huber, Sebastian Pokutta
One of the goals of Explainable AI (XAI) is to determine which input components were relevant for a classifier decision. This is commonly know as saliency attribution. Characterist…
Positive maps from the walled Brauer algebra
Maria Balanzó-Juandó, Michał Studziński, Felix Huber
We present positive maps and matrix inequalities for variables from the positive cone. These inequalities contain partial transpose and reshuffling operations, and can be understoo…
Dimension-free entanglement detection in multipartite Werner states
Felix Huber, Igor Klep, Victor Magron +1
Werner states are multipartite quantum states that are invariant under the diagonal conjugate action of the unitary group. This paper gives a complete characterization of their ent…
Matrix forms of immanant inequalities
Felix Huber, Hans Maassen
We translate inequalities and conjectures for immanants and generalized matrix functions into inequalities in the Löwner order. These have the form of trace polynomials and general…
Conjugate Logic
Niklas Johansson, Felix Huber, Jan-Åke Larsson
We propose a conjugate logic that can capture the behavior of quantum and quantum-like systems. The proposal is similar to the more generic concept of epistemic logic: it encodes k…
Tensor polynomial identities
Felix Huber, Claudio Procesi
Tensor polynomial identities generalize the concept of polynomial identities on matrices to identities on tensor product spaces. Here we completely characterize a cert…
Universal quantum computation and quantum error correction with ultracold atomic mixtures
Valentin Kasper, Daniel González-Cuadra, Apoorva Hegde +7
Quantum information platforms made great progress in the control of many-body entanglement and the implementation of quantum error correction, but it remains a challenge to realize…
Entropic proofs of Singleton bounds for quantum error-correcting codes
Markus Grassl, Felix Huber, Andreas Winter
We show that a relatively simple reasoning using von Neumann entropy inequalities yields a robust proof of the quantum Singleton bound for quantum error-correcting codes (QECC). Fo…
Quantum error-correcting codes and their geometries
Simeon Ball, Aina Centelles, Felix Huber
This is an expository article aiming to introduce the reader to the underlying mathematics and geometry of quantum error correction. Information stored on quantum particles is subj…
Positive maps and trace polynomials from the symmetric group
Felix Huber
With techniques borrowed from quantum information theory, we develop a method to systematically obtain operator inequalities and identities in several matrix variables. These take…
Quantum Codes of Maximal Distance and Highly Entangled Subspaces
Felix Huber, Markus Grassl
We present new bounds on the existence of general quantum maximum distance separable codes (QMDS): the length of all QMDS codes with local dimension and distance …
Efficient Tree Solver for Hines Matrices on the GPU
Felix Huber
The human brain consists of a large number of interconnected neurons communicating via exchange of electrical spikes. Simulations play an important role in better understanding ele…
Exponentially many entanglement and correlation constraints for multipartite quantum states
Christopher Eltschka, Felix Huber, Otfried Gühne +1
We present a family of correlations constraints that apply to all multipartite quantum systems of finite dimension. The size of this family is exponential in the number of subsyste…
Some Ulam's reconstruction problems for quantum states
Felix Huber, Simone Severini
Provided a complete set of putative -body reductions of a multipartite quantum state, can one determine if a joint state exists? We derive necessary conditions for this to be tr…
Constraints on correlations in multiqubit systems
Nikolai Wyderka, Felix Huber, Otfried Gühne
The set of correlations between particles in multipartite quantum systems is larger than those in classical systems. Nevertheless, it is subject to restrictions by the underlying q…
Bounds on absolutely maximally entangled states from shadow inequalities, and the quantum MacWilliams identity
Felix Huber, Christopher Eltschka, Jens Siewert +1
A pure multipartite quantum state is called absolutely maximally entangled (AME), if all reductions obtained by tracing out at least half of its parties are maximally mixed. Maxima…
Almost all four-particle pure states are determined by their two-body marginals
Nikolai Wyderka, Felix Huber, Otfried Gühne
We show that generic pure states (states drawn according to the Haar measure) of four particles of equal internal dimension are uniquely determined among all other pure states by t…
Absolutely maximally entangled states of seven qubits do not exist
Felix Huber, Otfried Gühne, Jens Siewert
Pure multiparticle quantum states are called absolutely maximally entangled if all reduced states obtained by tracing out at least half of the particles are maximally mixed. We pro…