Trapped-Ion Entanglement Using Transverse State-Dependent Forces
Find Innovative SolutionsGenerate Solutions
Solution Overview
Problem
Current methods for entangling trapped ions require high-NA optical access from multiple directions, making the technical implementation challenging, reducing fidelity, increasing cost, and limiting usable motional modes.
Innovation Solution
Induce transverse state-dependent forces (SDFs) on trapped ions using laser beams modulated according to the frequency of a motional mode, allowing entanglement without the need for multiple beam directions.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Manufacturing precision
If high-NA optical access from multiple directions is used to entangle trapped ions, then the focus can be sufficiently small to illuminate specific ions, but the technical implementation becomes challenging and the setup cost increases
Solution Approach 1:
The patent combines multiple laser beams into a single beam that provides both the necessary focusing and the state-dependent force modulation. By merging the functions of multiple beams from different directions into one beam with transverse intensity gradients, the system achieves the same entanglement effect without requiring complex multi-directional optical access
Solution Approach 2:
The single laser beam is designed to perform multiple functions simultaneously: it provides the necessary focus to illuminate specific ions, generates transverse state-dependent forces through intensity gradients, and enables entanglement operations. This multi-functional beam replaces the need for multiple specialized beams from different directions
2Manufacturing precision
If high-NA optical access from multiple directions is used to entangle trapped ions, then specific ions can be illuminated, but the fidelity of the entangling operation is reduced
Solution Approach 1:
The laser beam is designed with spatially varying intensity gradients that create localized state-dependent forces at specific positions where ions are located. By tailoring the transverse intensity profile to match the ion positions, the system achieves precise ion addressing while maintaining high entanglement fidelity through optimized local light-ion interaction
3Productivity
If high-NA optical access from multiple directions is used to entangle trapped ions, then the entangling operation can be performed, but the motional modes that can be used are limited
Solution Approach 1:
The system uses dynamically controllable transverse intensity gradients in the laser beam that can be adjusted to couple with different motional modes. By modulating the beam parameters and gradient orientations, the system can adaptively target different motional modes (axial, radial, or hybrid) depending on the experimental requirements, providing versatile entangling operations
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
Facilitates efficient and cost-effective entanglement of trapped ions with high fidelity, enabling versatile entangling operations.
Implementation Method 1
subjecting each of the trapped ions to a laser beam with a transverse gradient, thereby inducing transverse state-dependent force (SDFs) on the trapped ions
Implementation Method 2
the first and the SDF are respectively modulated by modulating the first and the second laser beam in accordance with a frequency of the motional mode, whereby the motional mode is excited
Data Source
AI summary
The present disclosure provides entangling two or more trapped ions wherein a common motional mode of the ions is used by conditionally, depending on an internal state of the ions, exciting and/or de-exciting the common motional mode. The common motional mode is conditionally excited/de-excited by inducing, on each of the two or more trapped ions respective perpendicular state-dependent forces (SDFs) that are modulated in accordance with the frequency of the motional mode. Each of the perpendicular SDFs can be induced by a laser beam and acts perpendicular to the propagation direction of the laser beam that induces it. The SDFs may be modulated by modulating an intensity and/or an amplitude of the electromagnetic field of the first laser beam, changing a position and/or a direction of the first laser beam relative to the first trapped ion, and/or including light of different frequencies into the laser beam.