Efficient detection of genuine multipartite entanglement using moments of positive maps

• URL: http://arxiv.org/abs/2506.00162v1
• Date: Fri, 30 May 2025 19:07:53 GMT
• Title: Efficient detection of genuine multipartite entanglement using moments of positive maps
• Authors: Saheli Mukherjee, Bivas Mallick, Sahil Gopalkrishna Naik, Ananda G. Maity, A. S. Majumdar,
• Abstract summary: Genuine multipartite entanglement (GME) represents the strongest form of entanglement in multipartite systems.<n>We propose an efficient and experimentally feasible scheme for detecting GME, based on the truncated moments of positive maps.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Genuine multipartite entanglement (GME) represents the strongest form of entanglement in multipartite systems, providing significant advantages in various quantum information processing tasks. In this work, we propose an efficient and experimentally feasible scheme for detecting GME, based on the truncated moments of positive maps. Our method avoids the need for full state tomography, making it scalable for larger systems. We provide illustrative examples of both pure and mixed states to demonstrate the efficacy of our formalism in detecting inequivalent classes of tripartite genuine entanglement. Finally, we present a proposal for realising these moments in real experiments.

Related papers

• Detecting high-dimensional entanglement and characterization of quantum channels using moments of the generalized positive maps [0.0]
  We propose a criterion to detect high-dimensional entanglement, focusing on determining the Schmidt number of quantum states.<n>Our approach relies on evaluating moments of generalized positive maps which can be efficiently simulated in real experiments.
  arXiv  Detail & Related papers  (2025-02-19T19:23:15Z)
• Sample Efficient Myopic Exploration Through Multitask Reinforcement Learning with Diverse Tasks [53.44714413181162]
  This paper shows that when an agent is trained on a sufficiently diverse set of tasks, a generic policy-sharing algorithm with myopic exploration design can be sample-efficient. To the best of our knowledge, this is the first theoretical demonstration of the "exploration benefits" of MTRL.
  arXiv  Detail & Related papers  (2024-03-03T22:57:44Z)
• Efficient Classical Shadow Tomography through Many-body Localization Dynamics [4.923287660970805]
  We introduce an alternative approach founded on the dynamics of many-body localization. We demonstrate that our scheme achieves remarkable efficiency comparable to shallow circuits.
  arXiv  Detail & Related papers  (2023-09-03T19:50:28Z)
• Simulating Gaussian boson sampling quantum computers [68.8204255655161]
  We briefly review recent theoretical methods to simulate experimental Gaussian boson sampling networks. We focus mostly on methods that use phase-space representations of quantum mechanics. A brief overview of the theory of GBS, recent experiments and other types of methods are also presented.
  arXiv  Detail & Related papers  (2023-08-02T02:03:31Z)
• Unbiasing time-dependent Variational Monte Carlo by projected quantum evolution [44.99833362998488]
  We analyze the accuracy and sample complexity of variational Monte Carlo approaches to simulate quantum systems classically. We prove that the most used scheme, the time-dependent Variational Monte Carlo (tVMC), is affected by a systematic statistical bias. We show that a different scheme based on the solution of an optimization problem at each time step is free from such problems.
  arXiv  Detail & Related papers  (2023-05-23T17:38:10Z)
• A generic framework for genuine multipartite entanglement detection [15.037030262271992]
  We present an exquisite procedure that generates novel entanglement witness for arbitrary targeted state. With excellent noise tolerance, our framework should be broadly applicable to witness genuine multipartite entanglement.
  arXiv  Detail & Related papers  (2022-11-10T13:35:57Z)
• Enhanced detection techniques of Orbital Angular Momentum states in the classical and quantum regimes [48.7576911714538]
  Complex structure inherent in Orbital Angular Momentum (OAM) states makes their detection and classification nontrivial. Most of the current detection schemes are based on models of the OAM states built upon the use of Laguerre-Gauss modes. We employ Hypergeometric-Gaussian modes as the basis states of a refined model that can be used -- in certain scenarios -- to better tailor OAM detection techniques.
  arXiv  Detail & Related papers  (2022-01-19T18:46:34Z)
• Quantum Circuits Reproduce Experimental Two-dimensional Many-body Localization Transition Point [0.0]
  We use fermionic quantum circuits as a variational method to approximate the full set of eigenstates of two-dimensional MBL systems. We calculate the filling fraction-dependent MBL phase diagram, an important feature which has not been addressed in previous literature.
  arXiv  Detail & Related papers  (2021-08-18T17:40:26Z)
• Visualizing spinon Fermi surfaces with time-dependent spectroscopy [62.997667081978825]
  We propose applying time-dependent photo-emission spectroscopy, an established tool in solid state systems, in cold atom quantum simulators. We show in exact diagonalization simulations of the one-dimensional $t-J$ model that the spinons start to populate previously unoccupied states in an effective band structure. The dependence of the spectral function on the time after the pump pulse reveals collective interactions among spinons.
  arXiv  Detail & Related papers  (2021-05-27T18:00:02Z)
• Convicting emergent multipartite entanglement with evidence from a partially blind witness [0.0]
  Genuine multipartite entanglement underlies correlation experiments corroborating quantum mechanics. We show that the effect can be found in the context of Gaussian states of bosonic systems. Our results pave the way to effective diagnostics methods of global properties of multipartite states without complete tomography.
  arXiv  Detail & Related papers  (2021-03-12T14:52:47Z)
• Efficient entanglement generation and detection of generalized stabilizer states [3.931366810430107]
  We present an efficient scheme to generate genuine multipartite entanglement of a large number of qubits by using the Heisenberg interaction. This method can be conveniently implemented in various physical platforms, including superconducting, trapped-ion, and cold-atom systems.
  arXiv  Detail & Related papers  (2020-12-14T14:56:50Z)
• Multi-Scale Positive Sample Refinement for Few-Shot Object Detection [61.60255654558682]
  Few-shot object detection (FSOD) helps detectors adapt to unseen classes with few training instances. We propose a Multi-scale Positive Sample Refinement (MPSR) approach to enrich object scales in FSOD. MPSR generates multi-scale positive samples as object pyramids and refines the prediction at various scales.
  arXiv  Detail & Related papers  (2020-07-18T09:48:29Z)
• Hyperspectral-Multispectral Image Fusion with Weighted LASSO [68.04032419397677]
  We propose an approach for fusing hyperspectral and multispectral images to provide high-quality hyperspectral output. We demonstrate that the proposed sparse fusion and reconstruction provides quantitatively superior results when compared to existing methods on publicly available images.
  arXiv  Detail & Related papers  (2020-03-15T23:07:56Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.