Quantifying entanglement resources

C Eltschka, J Siewert - Journal of Physics A: Mathematical and …, 2014 - iopscience.iop.org
We present an overview of the quantitative theory of single-copy entanglement in finite-
dimensional quantum systems. In particular we emphasize the point of view that different …

[HTML][HTML] Entanglement quantification from collective measurements processed by machine learning

J Roik, K Bartkiewicz, A Černoch, K Lemr - Physics Letters A, 2022 - Elsevier
This paper investigates how to reduce the number of measurement configurations needed
for sufficiently precise entanglement quantification. Instead of analytical formulae, we …

Entanglement classification and non--separability certification via Greenberger-Horne-Zeilinger-class fidelity

M Płodzień, J Chwedeńczuk, M Lewenstein… - Physical Review A, 2024 - APS
Many-body quantum systems can be characterized using the notions of k-separability and
entanglement depth. A quantum state is k-separable if it can be expressed as a mixture of k …

Experimental hierarchy of two-qubit quantum correlations without state tomography

S Abo, J Soubusta, K Jiráková, K Bartkiewicz… - Scientific Reports, 2023 - nature.com
A Werner state, which is the singlet Bell state affected by white noise, is a prototype example
of states, which can reveal a hierarchy of quantum entanglement, steering, and Bell …

Quantum speed limit and geometric measure of entanglement

Ł Rudnicki - Physical Review A, 2021 - APS
Using the approach offered by quantum speed limit, we show that geometric measure of
multipartite entanglement for pure states [T.-C. Wei and PM Goldbart, Phys. Rev. A 68 …

Tomography is necessary for universal entanglement detection with single-copy observables

D Lu, T Xin, N Yu, Z Ji, J Chen, G Long, J Baugh… - Physical review …, 2016 - APS
Entanglement, one of the central mysteries of quantum mechanics, plays an essential role in
numerous tasks of quantum information science. A natural question of both theoretical and …

Accuracy of entanglement detection via artificial neural networks and human-designed entanglement witnesses

J Roik, K Bartkiewicz, A Černoch, K Lemr - Physical Review Applied, 2021 - APS
The detection of entangled states is essential in both fundamental and applied quantum
physics. However, this task proves to be challenging, especially for general quantum states …

Bell nonlocality and fully entangled fraction measured in an entanglement-swapping device without quantum state tomography

K Bartkiewicz, K Lemr, A Černoch, A Miranowicz - Physical Review A, 2017 - APS
We propose and experimentally implement an efficient procedure based on entanglement
swapping to determine the Bell nonlocality measure of Horodecki et al.[Phys. Lett. A 200 …

Method for universal detection of two-photon polarization entanglement

K Bartkiewicz, P Horodecki, K Lemr, A Miranowicz… - Physical Review A, 2015 - APS
Detecting and quantifying quantum entanglement of a given unknown state poses problems
that are fundamentally important for quantum information processing. Surprisingly, no direct …

Quantifying entanglement of a two-qubit system via measurable and invariant moments of its partially transposed density matrix

K Bartkiewicz, J Beran, K Lemr, M Norek, A Miranowicz - Physical Review A, 2015 - APS
We describe a direct method to determine the negativity of an arbitrary two-qubit state in
experiments. The method is derived by analyzing the relation between the purity, negativity …