Classification of four-qubit entangled states via Machine Learning

Vintskevich, Stephen; Bao, N.; Nomerotski, A.; Stankus, P.; Grigoriev, Dima

doi:10.48550/arxiv.2205.11512

Cited by 3 publications

(3 citation statements)

References 41 publications

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“…The CV formalism will play an important role in expanding the presented technique to multiple observing stations assisted by auxiliary ground-based quantum states such as squeezed states and non-trivial quantum channels [41][42][43][44][45][46], providing novel opportunities in astronomy for extraction of valuable information. At the same time, the complexity of analytical descriptions and data processing would grow tremendously with an increased number of stations and auxiliary quantum states involved in the measurements, including entangled ones [3,25,26], so an important future research goal is to provide a theoretical description of such expansions based on both entities, the Gaussian states and quantum channels, powered by machine-learning methods [47,48].…”

Section: Discussionmentioning

confidence: 99%

Towards Quantum Telescopes: Demonstration of a Two-Photon Interferometer for Quantum-Assisted Astronomy

Crawford¹,

Denis²,

Keach³

et al. 2023

Preprint

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Classical optical interferometery requires maintaining live, phase-stable links between telescope stations. This requirement greatly adds to the cost of extending to long baseline separations, and limits on baselines will in turn limit the achievable angular resolution. Here we describe a novel type of two-photon interferometer for astrometry, which uses photons from two separate sky sources and does not require an optical link between stations. Such techniques may make large increases in interferometric baselines practical, even by orders of magnitude, with corresponding improvement in astrometric precision benefiting numerous fields in astrophysics. We tested a benchtop analogue version of the two-source interferometer and unambiguously observe correlated behavior in detections of photon pairs from two thermal light sources, in agreement with theoretical predictions. This work opens new possibilities in future astronomical measurements.

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Section: Discussionmentioning

confidence: 99%

Towards Quantum Telescopes: Demonstration of a Two-Photon Interferometer for Quantum-Assisted Astronomy

Crawford¹,

Denis²,

Keach³

et al. 2023

Preprint

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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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“…Modern computing techniques could be employed to the problem of separability in specific cases. For example, there was a number of attempts to train neural networks to distiguish entagled states from separable ones [13][14][15][16][17][18][19][20][21][22][23][24][25][26]. This approach poses its own set of challenges.…”

Section: Introductionmentioning

confidence: 99%

Two-Qutrit entanglement: 56-years old algorithm challenges machine learning

Wieśniak¹

2022

Preprint

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Classifying states as entangled or separable is a highly challenging task, while it is also one of the foundations of quantum information processing theory. This task is higly nontrivial even for relatively simple cases, such as two-qutrit Bell-diagonal states, i.e., mixture of nine mutually orthogonal maximally entangled states. In this article we apply the Gilbert algorithm to revise previously obtained results for this class. In particular we use "cartography of entanglement" to argue that most states left in [Hiesmayr, B. C. Scientific Reports 11, 19739 (2021)] as unknown to be entangled or separable are most likely indeed separable, or very weakly entangled. The presented technique can find endless applications in more general cases.

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Classification of four-qubit entangled states via Machine Learning

Cited by 3 publications

References 41 publications

Towards Quantum Telescopes: Demonstration of a Two-Photon Interferometer for Quantum-Assisted Astronomy

Towards Quantum Telescopes: Demonstration of a Two-Photon Interferometer for Quantum-Assisted Astronomy

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

Two-Qutrit entanglement: 56-years old algorithm challenges machine learning

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