Dissipative engineering of Gaussian entangled states in harmonic lattices with a single-site squeezed reservoir

• URL: http://arxiv.org/abs/2008.02539v3
• Date: Wed, 3 Mar 2021 11:59:20 GMT
• Title: Dissipative engineering of Gaussian entangled states in harmonic lattices with a single-site squeezed reservoir
• Authors: Stefano Zippilli, David Vitali
• Abstract summary: We study the dissipative preparation of many-body entangled Gaussian states in bosonic lattice models. We show that in this way it is possible to prepare, in the steady state, the wide class of pure states. This includes non-trivial multipartite entangled states such as cluster states suitable for measurement-based quantum computation.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study the dissipative preparation of many-body entangled Gaussian states in bosonic lattice models which could be relevant for quantum technology applications. We assume minimal resources, represented by systems described by particle-conserving quadratic Hamiltonians, with a single localized squeezed reservoir. We show that in this way it is possible to prepare, in the steady state, the wide class of pure states which can be generated by applying a generic passive Gaussian transformation on a set of equally squeezed modes. This includes non-trivial multipartite entangled states such as cluster states suitable for measurement-based quantum computation.

Related papers

• Non-Gaussian generalized two-mode squeezing: applications to two-ensemble spin squeezing and beyond [0.0]
  We show that the basic structure of these states can be generalized to arbitrary bipartite quantum systems. We show that these general states can always be stabilized by a relatively simple Markovian dissipative process.
  arXiv  Detail & Related papers  (2024-06-30T15:03:29Z)
• Deterministic Gaussian conversion protocols for non-Gaussian single-mode resources [58.720142291102135]
  We show that cat and binomial states are approximately equivalent for finite energy, while this equivalence was previously known only in the infinite-energy limit. We also consider the generation of cat states from photon-added and photon-subtracted squeezed states, improving over known schemes by introducing additional squeezing operations.
  arXiv  Detail & Related papers  (2022-04-07T11:49:54Z)
• The quantum Gaussian process state: A kernel-inspired state with quantum support data [0.0]
  We introduce the quantum Gaussian process state, motivated via a statistical inference for the wave function supported by a data set of unentangled product states. We show that this condenses down to a compact and expressive parametric form, with a variational flexibility shown to be competitive or surpassing established alternatives.
  arXiv  Detail & Related papers  (2021-11-19T18:33:24Z)
• Dissipative preparation of fractional Chern insulators [3.3234256205258084]
  We show how Laughlin states can be to good approximation prepared in a dissipative fashion from arbitrary initial states. We observe a certain robustness regarding the overlap of the steady state with fractional quantum Hall states for experimentally well-controlled flux densities.
  arXiv  Detail & Related papers  (2021-08-23T18:00:02Z)
• Improving application performance with biased distributions of quantum states [0.0]
  We analyze mixtures of Haar-random pure states with Dirichlet-distributed coefficients. We analytically derive the concentration parameters required to match the mean purity of the Bures and Hilbert--Schmidt distributions. We demonstrate how substituting these Dirichlet-weighted Haar mixtures in place of the Bures and Hilbert--Schmidt distributions results in measurable performance advantages.
  arXiv  Detail & Related papers  (2021-07-15T23:29:10Z)
• Dissipative evolution of quantum Gaussian states [68.8204255655161]
  We derive a new model of dissipative time evolution based on unitary Lindblad operators. As we demonstrate, the considered evolution proves useful both as a description for random scattering and as a tool in dissipator engineering.
  arXiv  Detail & Related papers  (2021-05-26T16:03:34Z)
• Local optimization on pure Gaussian state manifolds [63.76263875368856]
  We exploit insights into the geometry of bosonic and fermionic Gaussian states to develop an efficient local optimization algorithm. The method is based on notions of descent gradient attuned to the local geometry. We use the presented methods to collect numerical and analytical evidence for the conjecture that Gaussian purifications are sufficient to compute the entanglement of purification of arbitrary mixed Gaussian states.
  arXiv  Detail & Related papers  (2020-09-24T18:00:36Z)
• Efficient construction of tensor-network representations of many-body Gaussian states [59.94347858883343]
  We present a procedure to construct tensor-network representations of many-body Gaussian states efficiently and with a controllable error. These states include the ground and thermal states of bosonic and fermionic quadratic Hamiltonians, which are essential in the study of quantum many-body systems.
  arXiv  Detail & Related papers  (2020-08-12T11:30:23Z)
• State preparation and measurement in a quantum simulation of the O(3) sigma model [65.01359242860215]
  We show that fixed points of the non-linear O(3) sigma model can be reproduced near a quantum phase transition of a spin model with just two qubits per lattice site. We apply Trotter methods to obtain results for the complexity of adiabatic ground state preparation in both the weak-coupling and quantum-critical regimes. We present and analyze a quantum algorithm based on non-unitary randomized simulation methods.
  arXiv  Detail & Related papers  (2020-06-28T23:44:12Z)
• 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)

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.