Certification of Genuine Multipartite Entanglement with General and Robust Device-independent Witnesses

• URL: http://arxiv.org/abs/2108.12764v1
• Date: Sun, 29 Aug 2021 07:15:45 GMT
• Title: Certification of Genuine Multipartite Entanglement with General and Robust Device-independent Witnesses
• Authors: Chao Zhang, Wen-Hao Zhang, Pavel Sekatski, Jean-Daniel Bancal, Michael Zwerger, Peng Yin, Gong-Chu Li, Xing-Xiang Peng, Lei Chen, Yong-Jian Han, Jin-Shi Xu, Yun-Feng Huang, Geng Chen, Chuan-Feng Li, Guang-Can Guo
• Abstract summary: Genuine multipartite entanglement represents the strongest type of entanglement, which is an essential resource for quantum information processing. Standard methods to detect genuine multipartite entanglement require full knowledge of the Hilbert space dimension and precise calibration of measurement devices. In this work, we explore a general and robust DI method which can be applied to various realistic multipartite quantum state in arbitrary finite dimension.
• Score: 11.468122934770788
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Genuine multipartite entanglement represents the strongest type of entanglement, which is an essential resource for quantum information processing. Standard methods to detect genuine multipartite entanglement, e.g., entanglement witnesses, state tomography, or quantum state verification, require full knowledge of the Hilbert space dimension and precise calibration of measurement devices, which are usually difficult to acquire in an experiment. The most radical way to overcome these problems is to detect entanglement solely based on the Bell-like correlations of measurement outcomes collected in the experiment, namely, device-independently (DI). However, it is difficult to certify genuine entanglement of practical multipartite states in this way, and even more difficult to quantify it, due to the difficulty to identify optimal multipartite Bell inequalities and protocols tolerant to state impurity. In this work, we explore a general and robust DI method which can be applied to various realistic multipartite quantum state in arbitrary finite dimension, while merely relying on bipartite Bell inequalities. Our method allows us both to certify the presence of genuine multipartite entanglement and to quantify it. Several important classes of entangled states are tested with this method, leading to the detection of genuinely entangled states. We also certify genuine multipartite entanglement in weakly-entangled GHZ states, thus showing that the method applies equally well to less standard states.

Related papers

• Robust self-testing of the $m-$partite maximally entangled state and observables [0.0]
  We propose a simple and efficient self-testing protocol that certifies the state and observables based on the optimal quantum violation of the Svetlichny inequality. Our method leverages an elegant sum-of-squares approach to derive the optimal quantum value of the Svetlichny functional, devoid of assuming the dimension of the quantum system.
  arXiv  Detail & Related papers  (2024-08-20T11:03:37Z)
• Detecting the dimensionality of genuine multi-particle entanglement [0.0]
  State-of-the-art quantum technology is becoming increasingly able to create entangled states that feature many particles and high dimension. Here, we investigate generic states that can be considered both genuinely high-dimensional and genuine multi-particle entangled.
  arXiv  Detail & Related papers  (2024-02-09T08:03:05Z)
• Entanglement detection length of multipartite quantum states [18.335755852205732]
  We introduce the concept of entanglement detection length, defined as the minimum number of particles that have to be jointly measured. We show that the entanglement detection length is generally smaller than the minimum observable length needed to uniquely determine a multipartite state.
  arXiv  Detail & Related papers  (2024-01-07T02:13:47Z)
• Measurement-Device-Independent Detection of Beyond-Quantum State [53.64687146666141]
  We propose a measurement-device-independent (MDI) test for beyond-quantum state detection. We discuss the importance of tomographic completeness of the input sets to the detection.
  arXiv  Detail & Related papers  (2023-12-11T06:40:13Z)
• 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)
• Bounding entanglement dimensionality from the covariance matrix [1.8749305679160366]
  High-dimensional entanglement has been identified as an important resource in quantum information processing. Most widely used methods for experiments are based on fidelity measurements with respect to highly entangled states. Here, instead, we consider covariances of collective observables, as in the well-known Covariance Matrix Criterion.
  arXiv  Detail & Related papers  (2022-08-09T17:11:44Z)
• Improved Quantum Algorithms for Fidelity Estimation [77.34726150561087]
  We develop new and efficient quantum algorithms for fidelity estimation with provable performance guarantees. Our algorithms use advanced quantum linear algebra techniques, such as the quantum singular value transformation. We prove that fidelity estimation to any non-trivial constant additive accuracy is hard in general.
  arXiv  Detail & Related papers  (2022-03-30T02:02:16Z)
• A perspective on few-copy entanglement detection in experiments [0.0]
  An overview is provided of a probabilistic approach that enables high-confidence genuine multipartite entanglement detection. A study is presented that shows that this protocol remains efficient also in the presence of noise.
  arXiv  Detail & Related papers  (2022-01-07T19:01:07Z)
• Heterogeneous Multipartite Entanglement Purification for Size-Constrained Quantum Devices [68.8204255655161]
  Purifying entanglement resources after their imperfect generation is an indispensable step towards using them in quantum architectures. Here we depart from the typical purification paradigm for multipartite states explored in the last twenty years. We find that smaller sacrificial' states, like Bell pairs, can be more useful in the purification of multipartite states than additional copies of these same states.
  arXiv  Detail & Related papers  (2020-11-23T19:00:00Z)
• Efficient and robust certification of genuine multipartite entanglement in noisy quantum error correction circuits [58.720142291102135]
  We introduce a conditional witnessing technique to certify genuine multipartite entanglement (GME) We prove that the detection of entanglement in a linear number of bipartitions by a number of measurements scales linearly, suffices to certify GME. We apply our method to the noisy readout of stabilizer operators of the distance-three topological color code and its flag-based fault-tolerant version.
  arXiv  Detail & Related papers  (2020-10-06T18:00:07Z)
• Genuine Network Multipartite Entanglement [62.997667081978825]
  We argue that a source capable of distributing bipartite entanglement can, by itself, generate genuine $k$-partite entangled states for any $k$. We provide analytic and numerical witnesses of genuine network entanglement, and we reinterpret many past quantum experiments as demonstrations of this feature.
  arXiv  Detail & Related papers  (2020-02-07T13:26:00Z)

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.