Inertia of two-qutrit entanglement witnesses

• URL: http://arxiv.org/abs/2204.09252v1
• Date: Wed, 20 Apr 2022 06:38:40 GMT
• Title: Inertia of two-qutrit entanglement witnesses
• Authors: Changchun Feng, Lin Chen, Chang Xu, and Yi Shen
• Abstract summary: We investigate the inertias of bipartite EWs constructed by the partial transpose of NPT states. As an application, we extend our results to high dimensional states.
• Score: 21.413383015601898
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Entanglement witnesses (EWs) are a fundamental tool for the detection of entanglement. We investigate the inertias of bipartite EWs constructed by the partial transpose of NPT states. Furthermore, we find out most of the inertias of the patial transpose of the two-qutrit bipartite NPT states. As an application, we extend our results to high dimensional states.

Related papers

• A mirrored pair of optimal non-decomposable entanglement witnesses for two qudits does exist [0.764971671709743]
  We study the structure of entanglement witnesses (EWs) Exploiting the concept of mirrored EWs, we show, in contrast to the conjecture, that there exist pairs of optimal EWs. Since we show that the structure also extends to higher dimensions, our results reveal a further structure of entanglement witnesses.
  arXiv  Detail & Related papers  (2025-03-06T07:22:12Z)
• Positive maps and Entanglement Witnesses in different dimensions [0.0]
  We derive a closed-form criterion for detecting entanglement in general density matrices based on Entanglement Witnesses. We prove that non-unital EWs, corresponding to non-unital maps, are not more powerful than unital EWs.
  arXiv  Detail & Related papers  (2023-08-14T09:07:21Z)
• Multipartite entanglement theory with entanglement-nonincreasing operations [91.3755431537592]
  We extend the resource theory of entanglement for multipartite systems beyond the standard framework of local operations and classical communication. We demonstrate that in this adjusted framework, the transformation rates between multipartite states are fundamentally dictated by the bipartite entanglement entropies of the respective quantum states.
  arXiv  Detail & Related papers  (2023-05-30T12:53:56Z)
• Entanglement detection in arbitrary dimensional bipartite quantum systems through partial realigned moments [0.0]
  We propose a separability criterion for detecting bipartite entanglement in arbitrary dimensional quantum states. Our approach enables detection of both distillable and bound entangled states through a common framework.
  arXiv  Detail & Related papers  (2023-02-09T17:44:46Z)
• High-dimensional entanglement certification: bounding relative entropy of entanglement in $2d+1$ experiment-friendly measurements [77.34726150561087]
  Entanglement -- the coherent correlations between parties in a quantum system -- is well-understood and quantifiable. Despite the utility of such systems, methods for quantifying high-dimensional entanglement are more limited and experimentally challenging. We present a novel certification method whose measurement requirements scale linearly with dimension subsystem.
  arXiv  Detail & Related papers  (2022-10-19T16:52:21Z)
• Embed to Control Partially Observed Systems: Representation Learning with Provable Sample Efficiency [105.17746223041954]
  Reinforcement learning in partially observed Markov decision processes (POMDPs) faces two challenges. It often takes the full history to predict the future, which induces a sample complexity that scales exponentially with the horizon. We propose a reinforcement learning algorithm named Embed to Control (ETC), which learns the representation at two levels while optimizing the policy.
  arXiv  Detail & Related papers  (2022-05-26T16:34:46Z)
• Tunneling Gravimetry [58.80169804428422]
  We examine the prospects of utilizing matter-wave Fabry-P'erot interferometers for enhanced inertial sensing applications. Our study explores such tunneling-based sensors for the measurement of accelerations in two configurations.
  arXiv  Detail & Related papers  (2022-05-19T09:22:11Z)
• Efficient Bipartite Entanglement Detection Scheme with a Quantum Adversarial Solver [89.80359585967642]
  Proposal reformulates the bipartite entanglement detection as a two-player zero-sum game completed by parameterized quantum circuits. We experimentally implement our protocol on a linear optical network and exhibit its effectiveness to accomplish the bipartite entanglement detection for 5-qubit quantum pure states and 2-qubit quantum mixed states.
  arXiv  Detail & Related papers  (2022-03-15T09:46:45Z)
• Machine-Learning-Derived Entanglement Witnesses [55.76279816849472]
  We show a correspondence between linear support vector machines (SVMs) and entanglement witnesses. We use this correspondence to generate entanglement witnesses for bipartite and tripartite qubit (and qudit) target entangled states.
  arXiv  Detail & Related papers  (2021-07-05T22:28:02Z)
• Inertias of entanglement witnesses [9.74933876462027]
  Entanglement witnesses (EWs) are a fundamental tool for the detection of entanglement. We study the inertias of EWs, i.e., the triplet of the numbers of negative, zero, and positive eigenvalues respectively.
  arXiv  Detail & Related papers  (2020-07-26T02:06:22Z)
• Tripartite genuinely entangled states from entanglement-breaking subspaces [7.238541917115604]
  We show that the tripartite state is a genuinely entangled state when the range of both bipartite states are entanglement-breaking subspaces. We apply our results to construct multipartite states whose bipartite reduced density operators have additive EOF.
  arXiv  Detail & Related papers  (2020-06-09T09:00:18Z)
• Detection of genuine tripartite entanglement by two bipartite entangled states [7.238541917115604]
  It is an interesting problem to construct genuine tripartite entangled states based on the collective use of two bipartite entangled states. We consider the case that the states are two-qubit Werner states, we construct the interval of parameter of Werner states such that the tripartite state is genuine entangled.
  arXiv  Detail & Related papers  (2020-04-01T11:45:58Z)

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.