Dimensionality-enhanced quantum state transfer in long-range interacting spin systems

Abstract

In this work we study the single-qubit quantum state transfer in uniform long-range spin XXZ systems in high-dimensional geometries. We consider prototypical long-range spin exchanges that are relevant for experiments in cold atomic platforms: Coulomb, dipolar and van der Waals-like interactions. We find that in all these cases the fidelity increases with the dimensionality of the lattice. This can be related to the emergence of a pair of bilocalized states on the sender and receiver site due to the onset of an effective weak-coupling Hamiltonian. The enhancement of the quantum state transfer fidelity is more pronounced both with the increase of the couplings interaction range and in going from a 1D to a 2D lattice. Finally, we test our predictions in the presence of temperature-induced disorder introducing a model for the thermal displacement of the lattice sites, considered as a set of local adiabatic oscillators.

arXiv comment8 pages, 7 figures

References in corpus (53)

• Quantum Computation with Quantum Dots
• Long-distance quantum communication with atomic ensembles and linear optics
• The physics of dipolar bosonic quantum gases
• Quantum Communication Through an Unmodulated Spin Chain
• Trapped-Ion Quantum Computing: Progress and Challenges
• Perfect state transfer in quantum spin networks
• An Elementary Quantum Network of Single Atoms in Optical Cavities
• Realizing quantum Ising models in tunable two-dimensional arrays of single Rydberg atoms
• Quantum computing with atomic qubits and Rydberg interactions: Progress and challenges
• Quantum teleportation using active feed-forward between two Canary Islands
• Synthetic three-dimensional atomic structures assembled atom by atom
• Perfect Transfer of Arbitrary States in Quantum Spin Networks
• Quantum Communication through Spin Chain Dynamics: an Introductory Overview
• Quantum information transfer using photons
• Deterministic Quantum State Transfer and Generation of Remote Entanglement using Microwave Photons
• Dynamical crystallization in a low-dimensional Rydberg gas
• Conclusive and arbitrarily perfect quantum state transfer using parallel spin chain channels
• Experimental investigations of the dipolar interactions between single Rydberg atoms
• Unmodulated spin chains as universal quantum wires
• The Propagation of Quantum Information Through a Spin System
• Robust Quantum State Transfer in Random Unpolarized Spin Chains
• Robust quantum state transfer via topological edge states in superconducting qubit chains
• Perfect quantum state transfer with randomly coupled quantum chains
• Perfect state transfer on a spin-chain without state initialization
• High efficiency transfer of quantum information and multi-particle entanglement generation in translation invariant quantum chains
• Microscopy of a scalable superatom
• Qubit Teleportation and Transfer across Antiferromagnetic Spin Chains
• Perfect state transfer in long-range interacting spin chains
• A spin-coherent semiconductor photo-detector for quantum communication
• Optimal dynamics for quantum-state and entanglement transfer through homogeneous quantum wires
• Localization phenomena in interacting Rydberg lattice gases with position disorder
• Engineering the Dynamics of Effective Spin-Chain Models for Strongly Interacting Atomic Gases
• Strongly interacting ultracold polar molecules
• Long quantum channels for high-quality entanglement transfer
• Routing quantum information in spin chains
• Quantum-state transfer via resonant tunnelling through local field induced barriers
• Fast State Transfer and Entanglement Renormalization Using Long-Range Interactions
• Efficient quantum state transfer in spin chains via adiabatic passage
• Landau-Zener topological quantum state transfer
• Quantum Communication in Spin Systems With Long-Range Interactions
• Transfer of arbitrary two qubit states via a spin chain
• Quantum state transfer in optomechanical arrays
• Adiabatic many-body state preparation and information transfer in quantum dot arrays
• Local control of entanglement in a spin chain
• Transport of Quantum Correlations across a spin chain
• Pretty good state transfer of entangled states through quantum spin chains
• High-fidelity state transfer through long-range correlated disordered quantum channels
• Perturbatively-perfect many-body transfer
• Mesoscopic continuous and discrete channels for quantum information transfer
• Many-qubit quantum state transfer via spin chains
• Anomalous diffusion and localization in a positionally disordered quantum spin array
• A deeper insight into quantum state transfer from an information flux viewpoint
• Double dot chain as a macroscopic quantum bit

Cited by in corpus (13)

• Long-range interacting quantum systems
• Out-of-equilibrium dynamics of quantum many-body systems with long-range interactions
• Perturbatively-perfect many-body transfer
• Non-Hermitian dynamics and $\mathcal{P}\mathcal{T}$-symmetry breaking in interacting mesoscopic Rydberg platforms
• Fast and robust magnon transport in a spin chain
• Bound state dynamics in the long-range spin-$\frac{1}{2}$ XXZ model
• Quantum transfer of interacting qubits
• Understanding the propagation of excitations in quantum spin chains with different kind of interactions
• Long-range interaction in an open boundary-driven Heisenberg spin lattice: A far-from-equilibrium transition to ballistic transport
• Quantum state transfer using 1D Heisenberg Hamiltonian on quasi-1D lattices
• Fast and efficient long-distance quantum state transfer in long-range spin-$\frac{1}{2}$ models
• Quantum walkers in a disordered lattice with power-law hopping
• Expediting quantum state transfer through the long-range extended XY model