From the 2 of 120 papers with an AI index.
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9 papers · 1 filter
Quantum Mechanics on Lie Groups: I. Noncommutative Fourier Transforms
Mathieu Beauvillain, Blagoje Oblak, Marios Petropoulos
Starting from square-integrable wave functions on a Lie group, we build an invertible Fourier transform mapping them on wave functions on the dual of the Lie algebra. This is a gro…
Most incompatible measurements and sum-of-squares optimisation
Sébastien Designolle
Measurement incompatibility, or joint measurability, is a cornerstone of quantum theory and a useful resource. For finite-dimensional systems, quantifying this resource and establi…
Noise-induced shallow circuits and absence of barren plateaus
Antonio Anna Mele, Armando Angrisani, Soumik Ghosh +4
Motivated by realistic hardware considerations of the pre-fault-tolerant era, we comprehensively study the impact of uncorrected noise on quantum circuits. We first show that in th…
Measurement incompatibility and quantum steering via linear programming
Lucas E. A. Porto, Sébastien Designolle, Sebastian Pokutta +1
The problem of deciding whether a set of quantum measurements is jointly measurable is known to be equivalent to determining whether a quantum assemblage is unsteerable. This probl…
Additivity and chain rules for quantum entropies via multi-index Schatten norms
Omar Fawzi, Jan Kochanowski, Cambyse Rouzé +1
The primary entropic measures for quantum states are additive under the tensor product. In the analysis of quantum information processing tasks, the minimum entropy of a set of sta…
Quantum correlations in the steady state of light-emitter ensembles from perturbation theory
Dolf Huybrechts, Tommaso Roscilde
The coupling of a quantum system to an environment leads generally to decoherence, and it is detrimental to quantum correlations within the system itself. Yet some forms of quantum…