Experimentally accessible non-separability criteria for multipartite entanglement structure detection

• URL: http://arxiv.org/abs/2110.04177v1
• Date: Fri, 8 Oct 2021 14:58:46 GMT
• Title: Experimentally accessible non-separability criteria for multipartite entanglement structure detection
• Authors: Guillermo Garc\'ia-P\'erez, Oskari Kerppo, Matteo A. C. Rossi, Sabrina Maniscalco
• Abstract summary: We propose an experimentally accessible and scalable iterative methodology that identifies sufficient conditions for non-separability with respect to certain partitions. We test our methodology experimentally on a 20-qubit IBM quantum computer by inferring the structure of the 4-qubit Smolin and an 8-qubit W states. In the case of the W state, we obtain very disparate results in different runs on the device, which range from non-separable states to very fragmented minimal partitions with little entanglement in the system.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The description of the complex separability structure of quantum states in terms of partially ordered sets has been recently put forward. In this work, we address the question of how to efficiently determine these structures for unknown states. We propose an experimentally accessible and scalable iterative methodology that identifies, on solid statistical grounds, sufficient conditions for non-separability with respect to certain partitions. In addition, we propose an algorithm to determine the minimal partitions (those that do not admit further splitting) consistent with the experimental observations. We test our methodology experimentally on a 20-qubit IBM quantum computer by inferring the structure of the 4-qubit Smolin and an 8-qubit W states. In the first case, our results reveal that, while the fidelity of the state is low, it nevertheless exhibits the partitioning structure expected from the theory. In the case of the W state, we obtain very disparate results in different runs on the device, which range from non-separable states to very fragmented minimal partitions with little entanglement in the system. Furthermore, our work demonstrates the applicability of informationally complete POVM measurements for practical purposes on current NISQ devices.

Related papers

• Machine-learning certification of multipartite entanglement for noisy quantum hardware [1.204553980682492]
  Entanglement is a fundamental aspect of quantum physics, both conceptually and for its many applications. We develop a certification pipeline that feeds statistics of random local measurements into a non-linear dimensionality reduction algorithm. We verify the accuracy of its predictions on simulated test data, and apply it to states prepared on IBM quantum computing hardware.
  arXiv  Detail & Related papers  (2024-08-22T12:47:58Z)
• 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)
• Detecting Entanglement by State Preparation and a Fixed Measurement [7.818765015637801]
  Entanglement detection by state preparation can be extended to multipartite states such as graph states. We present network states for both cases to construct decomposable entanglement witnesses. Results readily apply to a realistic scenario, for instance, an array of superconducting qubits.
  arXiv  Detail & Related papers  (2023-03-29T00:30:27Z)
• 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)
• Learning entanglement breakdown as a phase transition by confusion [0.0]
  We develop an approach for revealing entanglement breakdown using a machine learning technique, which is known as 'learning by confusion' We show that the developed method provides correct answers for a variety of states, including entangled states with positive partial transpose (PPT) We also present a more practical version of the method, which is suitable for studying entanglement breakdown in noisy intermediate-scale quantum (NISQ) devices.
  arXiv  Detail & Related papers  (2022-02-01T11:41:18Z)
• 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)
• Entanglement detection in quantum many-body systems using entropic uncertainty relations [0.0]
  We study experimentally accessible lower bounds on entanglement measures based on entropic uncertainty relations. We derive an improved entanglement bound for bipartite systems, which requires measuring joint probability distributions in only two different measurement settings per subsystem.
  arXiv  Detail & Related papers  (2021-01-21T20:50:11Z)
• Bose-Einstein condensate soliton qubit states for metrological applications [58.720142291102135]
  We propose novel quantum metrology applications with two soliton qubit states. Phase space analysis, in terms of population imbalance - phase difference variables, is also performed to demonstrate macroscopic quantum self-trapping regimes.
  arXiv  Detail & Related papers  (2020-11-26T09:05:06Z)
• Gaussian Process States: A data-driven representation of quantum many-body physics [59.7232780552418]
  We present a novel, non-parametric form for compactly representing entangled many-body quantum states. The state is found to be highly compact, systematically improvable and efficient to sample. It is also proven to be a universal approximator' for quantum states, able to capture any entangled many-body state with increasing data set size.
  arXiv  Detail & Related papers  (2020-02-27T15:54:44Z)
• Einselection from incompatible decoherence channels [62.997667081978825]
  We analyze an open quantum dynamics inspired by CQED experiments with two non-commuting Lindblad operators. We show that Fock states remain the most robust states to decoherence up to a critical coupling.
  arXiv  Detail & Related papers  (2020-01-29T14:15:19Z)
• Experimental Detection of Non-local Correlations using a Local Measurement-Based Hierarchy on an NMR Quantum Processor [5.044160599117282]
  The non-local nature of correlations possessed by quantum systems may be revealed by experimental demonstrations of the violation of Bell-type inequalities. This study reports the experimental implementation of a local measurement-based hierarchy on the nuclear magnetic resonance (NMR) hardware utilizing three nuclear spins as qubits.
  arXiv  Detail & Related papers  (2020-01-03T02:44:43Z)

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.