Quantum tomography via compressed sensing: error bounds, sample complexity and efficient estimators

ST Flammia, D Gross, YK Liu, J Eisert - New Journal of Physics, 2012 - iopscience.iop.org
Intuitively, if a density operator has small rank, then it should be easier to estimate from
experimental data, since in this case only a few eigenvectors need to be learned. We prove …

Selected concepts of quantum state tomography

A Czerwinski - Optics, 2022 - mdpi.com
Quantum state tomography (QST) refers to any method that allows one to reconstruct the
accurate representation of a quantum system based on data obtainable from an experiment …

Efficient and feasible state tomography of quantum many-body systems

M Ohliger, V Nesme, J Eisert - New Journal of Physics, 2013 - iopscience.iop.org
We present a novel method for performing quantum state tomography for many-particle
systems, which are particularly suitable for estimating the states in lattice systems such as of …

Entanglement estimation in tensor network states via sampling

N Feldman, A Kshetrimayum, J Eisert, M Goldstein - PRX Quantum, 2022 - APS
We introduce a method for extracting meaningful entanglement measures of tensor network
states in general dimensions. Current methods require the explicit reconstruction of the …

Quantifying operator spreading and chaos in Krylov subspaces with quantum state reconstruction

A Sahu, ND Varikuti, BK Das, V Madhok - Physical Review B, 2023 - APS
We study operator spreading in many-body quantum systems by its potential to generate an
informationally complete measurement record in quantum tomography. We adopt …

Generation and detection of NOON states in superconducting circuits

ST Merkel, FK Wilhelm - New Journal of Physics, 2010 - iopscience.iop.org
NOON states, states between two modes of light of the form| N, 0⟩+ e iϕ| 0, N⟩, are highly
nonclassical entangled states with applications in super-resolution interferometry. We show …

Quantum speed limit for a moving qubit inside a leaky cavity

M Hadipour, S Haseli, H Dolatkhah, S Haddadi… - Photonics, 2022 - mdpi.com
The quantum speed limit (QSL) is a theoretical lower bound of the time required for a
quantum system to evolve from an arbitrary initial state to its orthogonal counterpart. This …

Quantum state tomography with informationally complete POVMs generated in the time domain

A Czerwinski - Quantum Information Processing, 2021 - Springer
The article establishes a framework for dynamic generation of informationally complete
POVMs in quantum state tomography. Assuming that the evolution of a quantum system is …

Guaranteed recovery of quantum processes from few measurements

M Kliesch, R Kueng, J Eisert, D Gross - Quantum, 2019 - quantum-journal.org
Quantum process tomography is the task of reconstructing unknown quantum channels from
measured data. In this work, we introduce compressed sensing-based methods that facilitate …

Effect of chaos on information gain in quantum tomography

A Sahu, S Pg, V Madhok - Physical Review E, 2022 - APS
Does chaos in the dynamics enable or impede information gain in quantum tomography?
We address this question by considering continuous measurement tomography in which the …