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9 papers · 2 filters
Shannon Entropy and Many-Electron Correlations: Theoretical Concepts, Numerical Results and Collins Conjecture
Luigi Delle Site
In this paper I will discuss the overlap between the concept of Shannon Entropy and the concept of electronic correlation. Quantum Monte Carlo numerical results for the uniform ele…
Many-body localisation implies that eigenvectors are matrix-product states
M. Friesdorf, A. H. Werner, W. Brown +2
The phenomenon of many-body localisation received a lot of attention recently, both for its implications in condensed-matter physics of allowing systems to be an insulator even at…
Order 3 Symmetry in the Clifford Hierarchy
Ingemar Bengtsson, Kate Blanchfield, Earl Campbell +1
We investigate the action of the first three levels of the Clifford hierarchy on sets of mutually unbiased bases comprising the Ivanovic MUB and the Alltop MUBs. Vectors in the All…
On the Role of Information Theoretic Uncertainty Relations in Quantum Theory
Petr Jizba, Jacob A. Dunningham, Jaewoo Joo
Uncertainty relations based on information theory for both discrete and continuous distribution functions are briefly reviewed. We extend these results to account for (differential…
Single Shot Quantum State Estimation via a Continuous Measurement in the Strong Backaction Regime
Robert L. Cook, Carlos A. Riofrío, Ivan H. Deutsch
We study quantum tomography based on a stochastic continuous-time measurement record obtained from a probe field collectively interacting with an ensemble of identically prepared s…
Quantum field tomography
A. Steffens, C. A. Riofrío, R. Hübener +1
We introduce the concept of quantum field tomography, the efficient and reliable reconstruction of unknown quantum fields based on data of correlation functions. At the basis of th…