Quantum separability criteria based on realignment moments

• URL: http://arxiv.org/abs/2209.05066v1
• Date: Mon, 12 Sep 2022 07:52:07 GMT
• Title: Quantum separability criteria based on realignment moments
• Authors: Tinggui Zhang, Naihuan Jing and Shao-Ming Fei
• Abstract summary: We propose entanglement detection criteria in terms of realignment moments. We show by detailed example that the realignment moments can also be used to identify quantum entanglement.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum entanglement is the core resource in quantum information processing and quantum computing. It is an significant challenge to effectively characterize the entanglement of quantum states. Recently, elegant separability criterion is presented in [Phys. Rev. Lett. 125, 200501 (2020)] by Elben et al. based on the first three partially transposed (PT) moments of density matrices. Then in [Phys. Rev. Lett. 127, 060504 (2021)] Yu \emph{et al.} proposed two general powerful criteria based on the PT moments. In this paper, based on the realignment operations of matrices we propose entanglement detection criteria in terms of such realignment moments. We show by detailed example that the realignment moments can also be used to identify quantum entanglement.

Related papers

• An explicit tensor notation for quantum computing [0.0]
  This paper introduces a formalism that aims to describe the intricacies of quantum computation. The focus is on providing a comprehensive representation of quantum states for multiple qubits and the quantum gates that manipulate them.
  arXiv  Detail & Related papers  (2024-09-16T17:21:17Z)
• Absolute dimensionality of quantum ensembles [41.94295877935867]
  The dimension of a quantum state is traditionally seen as the number of superposed distinguishable states in a given basis. We propose an absolute, i.e.basis-independent, notion of dimensionality for ensembles of quantum states.
  arXiv  Detail & Related papers  (2024-09-03T09:54:15Z)
• Solving an Industrially Relevant Quantum Chemistry Problem on Quantum Hardware [31.15746974078601]
  We calculate the lowest energy eigenvalue of active space Hamiltonians of industrially relevant and strongly correlated metal chelates on trapped ion quantum hardware. We are able to achieve chemical accuracy by training a variational quantum algorithm on quantum hardware, followed by a classical diagonalization in the subspace of states measured as outputs of the quantum circuit.
  arXiv  Detail & Related papers  (2024-08-20T12:50:15Z)
• Moments based entanglement criteria and measures [0.3499870393443269]
  Quantum entanglement plays a key role in quantum computation and quantum information processing. We propose two easily used entanglement criteria based on matrix moments. We provide an experimentally measurable lower bound of concurrence based on these moments.
  arXiv  Detail & Related papers  (2024-05-08T01:45:53Z)
• Separability criteria based on the correlation tensor moments for arbitrary dimensional states [0.0]
  entanglement is a vital resource for quantum information processing. We propose two sets of separability criteria using moments of the correlation tensor for bipartite and multipartite quantum states.
  arXiv  Detail & Related papers  (2024-02-20T17:23:13Z)
• Universality of critical dynamics with finite entanglement [68.8204255655161]
  We study how low-energy dynamics of quantum systems near criticality are modified by finite entanglement. Our result establishes the precise role played by entanglement in time-dependent critical phenomena.
  arXiv  Detail & Related papers  (2023-01-23T19:23:54Z)
• Schr\"odinger cat states of a 16-microgram mechanical oscillator [54.35850218188371]
  The superposition principle is one of the most fundamental principles of quantum mechanics. Here we demonstrate the preparation of a mechanical resonator with an effective mass of 16.2 micrograms in Schr"odinger cat states of motion. We show control over the size and phase of the superposition and investigate the decoherence dynamics of these states.
  arXiv  Detail & Related papers  (2022-11-01T13:29:44Z)
• Quantum Instability [30.674987397533997]
  We show how a time-independent, finite-dimensional quantum system can give rise to a linear instability corresponding to that in the classical system. An unstable quantum system has a richer spectrum and a much longer recurrence time than a stable quantum system.
  arXiv  Detail & Related papers  (2022-08-05T19:53:46Z)
• Algorithm and Circuit of Nesting Doubled Qubits [3.6296396308298795]
  Copying quantum states is contradictory to classical information processing. This paper investigates the naturally arising question of how well or under what conditions one can copy and measure an arbitrary quantum superposition of states.
  arXiv  Detail & Related papers  (2022-01-01T23:14:44Z)
• Probing Topological Spin Liquids on a Programmable Quantum Simulator [40.96261204117952]
  We use a 219-atom programmable quantum simulator to probe quantum spin liquid states. In our approach, arrays of atoms are placed on the links of a kagome lattice and evolution under Rydberg blockade creates frustrated quantum states. The onset of a quantum spin liquid phase of the paradigmatic toric code type is detected by evaluating topological string operators.
  arXiv  Detail & Related papers  (2021-04-09T00:18:12Z)
• Separability criteria based on Heisenberg-Weyl representation of density matrices [0.0]
  Separability is an important problem in theory of quantum entanglement. We present a new separability criterion for bipartite quantum systems.
  arXiv  Detail & Related papers  (2020-02-01T07:55:09Z)

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.