Entangling spins using cubic nonlinear dynamics
- URL: http://arxiv.org/abs/2301.04520v1
- Date: Wed, 11 Jan 2023 15:35:50 GMT
- Title: Entangling spins using cubic nonlinear dynamics
- Authors: Lingxia Wang, Yani Wang, Yujing Cheng, Zhiqi Yan, Lei Xie, Gang Liu,
Jinmin Fan, Di Wang, Yiling Song, Linli He, Wei Xiong, Mingfeng Wang
- Abstract summary: Entangled states with a large number of $N$ atomic spins are a key ingredient for quantum information processing and quantum metrology.
Here, we investigate the preparation of spin-spin multipartite entanglement, witnessed by quantum Fisher information, by using the cubic nonlinear dynamics.
- Score: 11.294546071388199
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Entangled states with a large number of $N$ atomic spins are a key ingredient
for quantum information processing and quantum metrology. Nowadays, the
preparation of such states has mainly relied on the quadratic nonlinear
dynamics. Here, we investigate the preparation of spin-spin multipartite
entanglement, witnessed by quantum Fisher information, by using the cubic
nonlinear dynamics. We find that, in the regime of weak coupling, the cubic
scheme can greatly speed up the rate of entanglement generation as compared to
the quadratic scheme (about $N$ times faster). In the strong coupling regime,
the cubic nonlinear dynamics enables the periodic in time generation of a broad
variety of new-type macroscopic superposition states, which allow us to realize
near-Heisenberg-limit phase sensitivity. In addition, we also reveal an
interesting feature that the amount of entanglement generated by the cubic
scheme has a macroscopic sensitivity to the parity of $N$, which has no
counterpart in quadratic nonlinear dynamics and can be exploited for sensing
the parity of $N$ at the single-spin level. We also propose a new approach for
a fast and high-fidelity generation of maximally entangled
Greenberger-Horne-Zeilinger (GHZ) states. By using an alternative
cubic-quadratic-admixture type of nonlinear interaction, we show that one may
accelerate the procedure of GHZ-state generation. The realization of the cubic
nonlinear dynamics is also considered, showing that the cubic nonlinear
dynamics can be realized by either repeatedly using linear- and
quadratic-nonlinear dynamics or utilizing light-mediated interactions in just
one step. Finally, by taking realistic imperfections into account, we find that
the cubic scheme is sensitivity to the single-spin decay in the strong coupling
regime, while is robust against the collective dephasing.
Related papers
- A Linear Quantum Coupler for Clean Bosonic Control [40.363378379378524]
An ideal quantum nonlinearity would selectively activate desired coherent processes at high strength.
The wide bandwidth of the Josephson nonlinearity makes this difficult, with undesired drive-induced transitions and decoherence limiting qubit readout, gates, couplers and amplifiers.
We propose a novel mixer that combines both these strengths, with engineered selection rules that make it essentially linear (not just Kerr-free) when idle, and activate clean parametric processes even when driven at high strength.
arXiv Detail & Related papers (2025-01-29T22:26:14Z) - Exact dynamics of quantum dissipative $XX$ models: Wannier-Stark localization in the fragmented operator space [49.1574468325115]
We find an exceptional point at a critical dissipation strength that separates oscillating and non-oscillating decay.
We also describe a different type of dissipation that leads to a single decay mode in the whole operator subspace.
arXiv Detail & Related papers (2024-05-27T16:11:39Z) - Twist-and-turn dynamics of spin squeezing in bosonic Josephson junctions: Enhanced shortcuts-to-adiabaticity approach [0.0]
We show how to generate spin-squeezed states using shortcuts to adiabaticity (STA) and the recently developed enhanced version thereof (eSTA)
We show that the eSTA approach allows for a particularly robust realization of strongly spin-squeezed states in this system.
Our method could also be employed for the generation of metrologically-useful non-Gaussian states.
arXiv Detail & Related papers (2024-04-30T16:24:43Z) - Universal control of a bosonic mode via drive-activated native cubic
interactions [0.3273124984242396]
Linear bosonic modes offer a hardware-efficient alternative for quantum information processing.
The lack of nonlinearity in photonics has led to encoded measurement-based quantum computing.
We demonstrate universal control of a bosonic mode composed of a superconducting nonlinear asymmetric inductive element.
arXiv Detail & Related papers (2023-08-29T14:13:41Z) - Quantum noise dynamics in nonlinear pulse propagation [0.0]
We numerically study quantum noise dynamics and multimode entanglement in several ultrafast systems.
We show that our model exhibits nonlinear dynamics in both the mean field and the quantum correlations.
arXiv Detail & Related papers (2023-07-11T17:50:33Z) - Third quantization of open quantum systems: new dissipative symmetries
and connections to phase-space and Keldysh field theory formulations [77.34726150561087]
We reformulate the technique of third quantization in a way that explicitly connects all three methods.
We first show that our formulation reveals a fundamental dissipative symmetry present in all quadratic bosonic or fermionic Lindbladians.
For bosons, we then show that the Wigner function and the characteristic function can be thought of as ''wavefunctions'' of the density matrix.
arXiv Detail & Related papers (2023-02-27T18:56:40Z) - Nonlinear flip-flop quantum walks through potential barriers [0.0]
nonlinear flip-flop quantum walk with amplitude-dependent phase shifts with pertubing potential barrier is investigated.
We show the existence of different Hadamard quantum walking regimes, including those with mobile soliton-like structures or self-trapped states.
arXiv Detail & Related papers (2022-10-21T01:11:26Z) - Slow semiclassical dynamics of a two-dimensional Hubbard model in
disorder-free potentials [77.34726150561087]
We show that introduction of harmonic and spin-dependent linear potentials sufficiently validates fTWA for longer times.
In particular, we focus on a finite two-dimensional system and show that at intermediate linear potential strength, the addition of a harmonic potential and spin dependence of the tilt, results in subdiffusive dynamics.
arXiv Detail & Related papers (2022-10-03T16:51:25Z) - Entanglement and correlations in fast collective neutrino flavor
oscillations [68.8204255655161]
Collective neutrino oscillations play a crucial role in transporting lepton flavor in astrophysical settings.
We study the full out-of-equilibrium flavor dynamics in simple multi-angle geometries displaying fast oscillations.
We present evidence that these fast collective modes are generated by the same dynamical phase transition.
arXiv Detail & Related papers (2022-03-05T17:00:06Z) - Designing Kerr Interactions for Quantum Information Processing via
Counterrotating Terms of Asymmetric Josephson-Junction Loops [68.8204255655161]
static cavity nonlinearities typically limit the performance of bosonic quantum error-correcting codes.
Treating the nonlinearity as a perturbation, we derive effective Hamiltonians using the Schrieffer-Wolff transformation.
Results show that a cubic interaction allows to increase the effective rates of both linear and nonlinear operations.
arXiv Detail & Related papers (2021-07-14T15:11:05Z)
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.