Entanglement quantification from collective measurements processed by machine learning

Roik, Jan; Bartkiewicz, Karol; Cernoch, A; Lemr, Karel

doi:10.1016/j.physleta.2022.128270

Cited by 13 publications

(7 citation statements)

References 53 publications

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“…[31,32] Numerous research for characterizing the degree of entanglement in multipartite quantum systems have been conducted. [33][34][35][36][37][38][39][40][41][42][43][44][45] However, entanglement does not encompass all quantumness in a system. [46,47] On the other hand, quantum coherence is derived from the quantum state superposition principle.…”

Section: Doi: 101002/andp202200537mentioning

confidence: 99%

“…Despite its enormous promise, measuring and characterizing entanglement in multipartite quantum systems is a rather complicated task. [ 31,32 ] Numerous research for characterizing the degree of entanglement in multipartite quantum systems have been conducted. [ 33–45 ] However, entanglement does not encompass all quantumness in a system.…”

Section: Introductionmentioning

confidence: 99%

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Effect of Induced Transition on the Quantum Entanglement and Coherence in Two‐Coupled Double Quantum Dot System

et al. 2023

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Studying quantum properties in solid-state systems is a significant avenue for research. In this scenario, double quantum dots appear as a versatile platform for technological breakthroughs in quantum computation and nanotechnology. This work inspects the thermal entanglement and quantum coherence in two-coupled DODs, where the system is exposed to an external stimulus that induces an electronic transition within each subsystem. The results show that the introduction of external stimulus induces a quantum level crossing that relies upon the Coulomb potential changing the degree of quantum entanglement and coherence of the system. Thus, the quantum properties of the system can be tuned by changing the transition frequency, leading to the enhancement of its quantum properties. IntroductionStudying theoretical quantum information quantifiers in condensed matter physics systems has paramount importance as a key resource for several information processing protocols.

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Section: Doi: 101002/andp202200537mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Effect of Induced Transition on the Quantum Entanglement and Coherence in Two‐Coupled Double Quantum Dot System

et al. 2023

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“…We note that the setup applied in this work was also used earlier in Refs. [47][48][49][50], but for conceptually different tasks, e.g., measuring collective nonlinear witnesses of entanglement [51,52], Bell nonlocality measure [53], or diagnosing an entanglement-swapping protocol. The setup enables entanglement swapping and measuring multicopy entanglement witnesses as inspired by Refs.…”

Section: Introductionmentioning

confidence: 99%

Experimental hierarchy of two-qubit quantum correlations without state tomography

Abo¹,

Soubusta²,

Jiráková³

et al. 2023

Preprint

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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 nonlocality by controlling the amount of noise. However, experimental demonstrations of this hierarchy in a sufficient and necessary way (i.e., by applying measures or universal witnesses of these quantum correlations) required so far full quantum state tomography, which is based on measuring at least 15 real parameters of two-qubit states. Here we report an experimental demonstration of this hierarchy by measuring only six elements of a correlation matrix depending on linear combinations of twoqubit Stokes parameters. We show that our experimental setup can also reveal the hierarchy of these quantum correlations of generalized Werner states, which are any two-qubit pure states affected by white noise.

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“…More modern computing techniques have also been employed to the problem of separability in specific cases. For example, there was a number of attempts to adopt machine learning techniques to distinguish entangled states from separable ones [13][14][15][16][17][18][19][20][21][22][23][24][25] . This approach poses its own set of challenges.…”

Section: Introductionmentioning

confidence: 99%

Performance comparison of Gilbert's algorithm and machine learning in classifying Bell-diagonal two-qutrit entanglement

Wieśniak

2023

Preprint

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While classifying states as entangled or separable is one of the fundamental tasks in quantum information theory, it is also extremely challenging. This task is highly nontrivial even for relatively simple cases, such as two-qutrit Bell-diagonal states, i.e., mixtures of nine mutually orthogonal maximally entangled states. In this article we apply Gilbert's algorithm to revise previously obtained results for this class. In particular we use ''entanglement cartography'' to argue that most states left in [Hiesmayr, B. C. {\em Scientific Reports} {\bf 11}, 19739 (2021)] as unknown to be entangled or separable are most likely indeed separable, or very weakly entangled, beyond any practical relevance. The presented technique can find endless applications in more general cases.

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Entanglement quantification from collective measurements processed by machine learning

Cited by 13 publications

References 53 publications

Effect of Induced Transition on the Quantum Entanglement and Coherence in Two‐Coupled Double Quantum Dot System

Effect of Induced Transition on the Quantum Entanglement and Coherence in Two‐Coupled Double Quantum Dot System

Experimental hierarchy of two-qubit quantum correlations without state tomography

Performance comparison of Gilbert's algorithm and machine learning in classifying Bell-diagonal two-qutrit entanglement

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