Free versus Bound Entanglement in High Dimensional Systems
Free versus Bound Entanglement in High Dimensional Systems
Disciplines
Computer Sciences (5%); Physics, Astronomy (95%)
Keywords
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Bound And Free Entanglement,
High Dimensional Quantum Systems,
Machine Learning
Erwin Schrödinger, an Austrian Nobel Prize winner, introduced the German word ``Verschränkung (Englisch: entanglement) for a phenomenon that cannot be explained classically. The Austrian Anton Zeilinger got this year (2022) the Nobel Prize for his experimental studies of this phenomenon. Mathematically, entanglement can be defined exactly, but surprisingly given a quantum state, i.e. the full information available, it is not generally possible to find out whether this state is entangled or not. Those states, that allow no simple detection, are also physically relevant as their entanglement cannot be increased to the maximal entanglement. This kind of entanglement is called ``bound entanglement, in contrast to the ``free entanglement. This project wants on one hand to find novel methods to detect those states, e.g. by utilizing machine learning, a kind of weak artificial intelligence (AI), on the other hand we will explore the structure of bound entanglement and its potential for applications to quantum technologies.
- Universität Wien - 100%
Research Output
- 47 Citations
- 18 Publications
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2023
Title Bound entanglement is not Lorentz invariant DOI 10.1038/s41598-023-38217-3 Type Journal Article Author Caban P Journal Scientific Reports Pages 11189 Link Publication -
2023
Title Transformation of PET raw data into images for event classification using convolutional neural networks DOI 10.3934/mbe.2023669 Type Journal Article Author Konieczka P Journal Mathematical Biosciences and Engineering Pages 14938-14958 Link Publication -
2024
Title Quantum error channels in high energetic photonic systems DOI 10.1038/s41598-024-60472-1 Type Journal Article Author Hiesmayr B Journal Scientific Reports Pages 9672 Link Publication -
2024
Title Special features of the Weyl–Heisenberg Bell basis imply unusual entanglement structure of Bell-diagonal states DOI 10.1088/1367-2630/ad1d0e Type Journal Article Author Popp C Journal New Journal of Physics Pages 013039 Link Publication -
2024
Title A quantum information theoretic view on a deep quantum neural network DOI 10.1063/5.0203600 Type Conference Proceeding Abstract Author Hiesmayr B Pages 020001 Link Publication -
2024
Title Feasibility studies for imaging e + e - annihilation with modular multi-strip detectors DOI 10.1016/j.nima.2024.169192 Type Journal Article Author Sharma S Journal Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detector Pages 169192 -
2023
Title Feasibility studies for imaging e$^{+}$e$^{-}$ annihilation with modular multi-strip detectors DOI 10.48550/arxiv.2309.07171 Type Preprint Author Sharma S -
2023
Title Comparative studies of the sensitivities of sparse and full geometries of Total-Body PET scanners built from crystals and plastic scintillators DOI 10.48550/arxiv.2304.05834 Type Preprint Author Dadgar M -
2022
Title Is bound entanglement Lorentz invariant? DOI 10.48550/arxiv.2212.01286 Type Preprint Author Caban P -
2022
Title A Quantum Information Theoretic View On A Deep Quantum Neural Network DOI 10.48550/arxiv.2212.12906 Type Preprint Author Hiesmayr B -
2022
Title On the structure of mirrored operators obtained from optimal entanglement witnesses DOI 10.48550/arxiv.2212.14820 Type Preprint Author Bera A -
2023
Title On the structure of mirrored operators obtained from optimal entanglement witnesses DOI 10.1038/s41598-023-37771-0 Type Journal Article Author Bera A Journal Scientific Reports Pages 10733 Link Publication -
2023
Title Quantum Error Channels in High Energetic Photonic Systems DOI 10.48550/arxiv.2310.10450 Type Preprint Author Hiesmayr B -
2023
Title Comparative studies of the sensitivities of sparse and full geometries of Total-Body PET scanners built from crystals and plastic scintillators DOI 10.1186/s40658-023-00572-5 Type Journal Article Author Dadgar M Journal EJNMMI Physics Pages 62 Link Publication -
2023
Title Comparing bound entanglement of bell diagonal pairs of qutrits and ququarts DOI 10.1038/s41598-023-29211-w Type Journal Article Author Popp C Journal Scientific Reports Pages 2037 Link Publication -
2022
Title How many mutually unbiased bases are needed to detect bound entangled states? DOI 10.1088/1751-8121/acaa16 Type Journal Article Author Bae J Journal Journal of Physics A: Mathematical and Theoretical Pages 505303 Link Publication -
2023
Title Special features of the Weyl-Heisenberg Bell basis imply unusual entanglement structure of Bell-diagonal states DOI 10.48550/arxiv.2307.10727 Type Preprint Author Popp C -
2022
Title Comparing bound entanglement of bell diagonal pairs of qutrits and ququarts DOI 10.48550/arxiv.2209.15267 Type Preprint Author Popp C