Coordinately Assisted Distillation of Quantum Coherence in Multipartite System

• URL: http://arxiv.org/abs/2202.02962v1
• Date: Mon, 7 Feb 2022 06:16:48 GMT
• Title: Coordinately Assisted Distillation of Quantum Coherence in Multipartite System
• Authors: Huang-Qiu-Chen Wang, Qi Luo, Qi-Ping Su, Yong-Nan Sun, Nengji Zhou, Li Yu, and Zhe Sun
• Abstract summary: We for the first time study the assisted coherence distillation in multipartite systems. Monogamy-like inequalities are given to constrain the distribution of the assisted distillable coherence in the subsystems. The close relationship between the assisted coherence distillation and the genuine multipartite correlation is revealed.
• Score: 7.3779682241234195
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We investigate the issue of assisted coherence distillation in the asymptotic limit (considering infinite copies of the resource states), by coordinately performing the identical local operations on the auxiliary systems of each copy. When we further restrict the coordinate operations to projective measurements, the distillation process is branched into many sub-processes. Finally, a simple formula is given that the assisted distillable coherence should be the maximal average coherence of the residual states. The formula makes the experimental research of assisted coherence distillation possible and convenient, especially for the case that the system and its auxiliary are in mixed states. By using the formula,\ we for the first time study the assisted coherence distillation in multipartite systems. Monogamy-like inequalities are given to constrain the distribution of the assisted distillable coherence in the subsystems. Taking three-qubit system for example, we experimentally prepare two types of tripartite correlated states, i.e., the $W$-type and GHZ-type states in a linear optical setup, and experimentally explore the assisted coherence distillation. Theoretical and experimental results agree well to verify the distribution inequalities given by us. Three measures of multipartite quantum correlation are also considered. The close relationship between the assisted coherence distillation and the genuine multipartite correlation is revealed.

Related papers

• Two-dimensional many-body localized systems coupled to a heat bath [0.0]
  We numerically investigate the effect of coupling a two-dimensional many-body localized system to a finite heat bath. Specifically, we simulate optical lattice experiments with two components of ultracold bosons. We observe a distribution of the quantum mutual information in the many-body localized regime which is consistent with the presence of resonances.
  arXiv  Detail & Related papers  (2024-10-18T17:47:13Z)
• DDIL: Improved Diffusion Distillation With Imitation Learning [57.3467234269487]
  Diffusion models excel at generative modeling (e.g., text-to-image) but sampling requires multiple denoising network passes. Progressive distillation or consistency distillation have shown promise by reducing the number of passes. We show that DDIL consistency improves on baseline algorithms of progressive distillation (PD), Latent consistency models (LCM) and Distribution Matching Distillation (DMD2)
  arXiv  Detail & Related papers  (2024-10-15T18:21:47Z)
• Third quantization with Hartree approximation for open-system bosonic transport [49.1574468325115]
  We present a self-consistent formalism for solving the open-system bosonic Lindblad equation with weak interactions in the steady state. The method allows us to characterize and predict large-system behavior of quantum transport in interacting bosonic systems relevant to cold-atom experiments.
  arXiv  Detail & Related papers  (2024-08-23T15:50:48Z)
• Theoretical Insights for Diffusion Guidance: A Case Study for Gaussian Mixture Models [59.331993845831946]
  Diffusion models benefit from instillation of task-specific information into the score function to steer the sample generation towards desired properties. This paper provides the first theoretical study towards understanding the influence of guidance on diffusion models in the context of Gaussian mixture models.
  arXiv  Detail & Related papers  (2024-03-03T23:15:48Z)
• Dilute neutron star matter from neural-network quantum states [58.720142291102135]
  Low-density neutron matter is characterized by the formation of Cooper pairs and the onset of superfluidity. We model this density regime by capitalizing on the expressivity of the hidden-nucleon neural-network quantum states combined with variational Monte Carlo and reconfiguration techniques.
  arXiv  Detail & Related papers  (2022-12-08T17:55:25Z)
• Mechanism for particle fractionalization and universal edge physics in quantum Hall fluids [58.720142291102135]
  We advance a second-quantization framework that helps reveal an exact fusion mechanism for particle fractionalization in FQH fluids. We also uncover the fundamental structure behind the condensation of non-local operators characterizing topological order in the lowest-Landau-level (LLL)
  arXiv  Detail & Related papers  (2021-10-12T18:00:00Z)
• On the Wigner Distribution of the Reduced Density Matrix [0.0]
  We show that the Wigner distribution of this reduced density matrix is obtained by integrating the total Wigner distribution with respect to the phase space variables corresponding to subsystem B. Our main result is applied to general Gaussian mixed states, of which it gives a particularly simple and precise description.
  arXiv  Detail & Related papers  (2021-06-26T16:17:56Z)
• Experimental study of quantum coherence decomposition and trade-off relations in a tripartite system [8.797280564220879]
  We study the full set of coherence trade-off relations between the original state, the bipartite product state, the tripartite product state, and the decohered product state. We find that despite the different types of states involved, the properties of the state in terms of coherence and monogamy are equivalent.
  arXiv  Detail & Related papers  (2020-11-16T15:44:58Z)
• Finite Block Length Analysis on Quantum Coherence Distillation and Incoherent Randomness Extraction [64.04327674866464]
  We introduce a variant of randomness extraction framework where free incoherent operations are allowed before the incoherent measurement. We show that the maximum number of random bits extractable from a given quantum state is precisely equal to the maximum number of coherent bits that can be distilled from the same state. Remarkably, the incoherent operation classes all admit the same second order expansions.
  arXiv  Detail & Related papers  (2020-02-27T09:48:52Z)
• Quantum Coherence in Ergodic and Many-Body Localized Systems [0.0]
  We numerically calculate different measures of quantum coherence in the excited eigenstates of an interacting disordered Hamiltonian. We show that quantum coherence can be used as an order parameter to detect the well-studied ergodic to many-body-localized phase transition. We then present a protocol to calculate measurement-based localizable coherence to investigate the thermal and many-body localized phases.
  arXiv  Detail & Related papers  (2020-02-21T18:03:58Z)

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.