Tin Nuclear Spin Qubit Coupling via Adiabatic Hyperfine Control

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Solution Overview

Problem

The challenge in quantum computing is to achieve efficient two-qubit entanglement and long-range nuclear-nuclear entanglement in silicon-based systems, where the strong donor-confinement potential and valley-orbit-induced exchange oscillations complicate fabrication and coherence maintenance.

Innovation Solution

Embedding a tin atom in a silicon substrate and using quantum dot electrodes to perform an electron-nuclear controlled-phase gate operation by adiabatically moving an electron to achieve a specified hyperfine interaction, holding it for a duration, and then moving it away to minimize noise and represent 'on' and 'off' states.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Strength

If a donor atom is used to confine electrons in silicon, then strong electron confinement is achieved, but fabrication complexity and valley-orbit-induced exchange oscillations increase

Engineering Contradiction:
Improveelectron confinement strengthVSAvoidfabrication complexity
Core Design Contradiction:
StrengthVSDevice complexity

Solution Approach 1:

The patent introduces a tin atom as an intermediary mediator between the electron and the silicon substrate. The tin atom's nuclear spin serves as a qubit that interacts with the electron spin through hyperfine interaction, enabling controlled entanglement without requiring direct donor-atom-based electron confinement. This intermediary approach avoids the fabrication complexity and valley-orbit issues associated with traditional donor atoms while maintaining strong interaction for quantum gate operations.

Inventive Principle:
Principle #24Intermediary (Mediator)

2Strength

If donor atoms are used for quantum operations, then electron confinement is achieved, but coherence time is reduced due to noise sensitivity

Engineering Contradiction:
Improveelectron confinement strengthVSAvoidcoherence time
Core Design Contradiction:
StrengthVSReliability

Solution Approach 1:

The tin atom acts as a mediator that decouples the electron from direct interaction with the noisy silicon substrate environment. The electron interacts with the tin nuclear spin through controlled hyperfine interaction during gate operations, then is moved away to minimize continuous noise exposure. This intermediary mechanism preserves coherence time while enabling necessary quantum operations.

Inventive Principle:
Principle #24Intermediary (Mediator)

Solution Approach 2:

The patent employs dynamic control of the electron's position relative to the tin atom. The electron is moved adiabatically to achieve hyperfine interaction for quantum gates, held for the necessary duration, then moved away to minimize noise sensitivity. This dynamic positioning allows the system to optimize both interaction strength and coherence time根据不同 operational requirements.

Inventive Principle:
Principle #15Dynamics

3Reliability

If adiabatic electron movement is used to achieve hyperfine interaction, then noise sensitivity is minimized, but operation time increases

Engineering Contradiction:
Improvenoise sensitivityVSAvoidoperation time
Core Design Contradiction:
ReliabilityVSLoss of time

Solution Approach 1:

The patent applies partial adiabatic movement rather than complete adiabatic processes. The electron is moved adiabatically only to the extent necessary to achieve the required hyperfine interaction strength for high-fidelity quantum gates, then held at that position. This partial action approach achieves sufficient noise minimization without the full time cost of complete adiabatic processes, optimizing the trade-off between fidelity and speed.

Inventive Principle:
Principle #16Partial or excessive action

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

This approach enables robust two-qubit operations with high fidelity, suppressing spin-flip errors and phase-flip errors, and provides a promising method for quantum information processing by leveraging strong hyperfine interactions and minimizing noise sensitivity.

Implementation Method 1

moving the electron adiabatically toward the tin atom to achieve a specified level of hyperfine interaction (HFI) between the electron and the nucleus of the tin atom

Methodology Applied
Scientific EffectHyperfine interaction:

Implementation Method 2

holding the electron at the distance of the specified HFI for a specified duration of time to represent an 'on' state

Methodology Applied
Scientific EffectQuantum confinement:

Implementation Method 3

moving the electron adiabatically away from the tin atom to lower the HFI below the specified level and represent an 'off' state

Methodology Applied
Scientific EffectHyperfine interaction:

Data Source

PatentUS20240413226A1Tin as nuclear spin qubit in silicon
Publication Date: 2024.12.12 NATIONAL TECHNOLOGY & ENGINEERING SOLUTIONS OF SANDIA LLC
  • US20240413226A1 patent drawing
  • US20240413226A1 patent drawing
  • US20240413226A1 patent drawing

AI summary

Coupling qubits is provided. The method comprises embedding a tin atom in a silicon substrate and forming a number of quantum dot electrodes over the silicon substrate. The quantum dot electrodes draw an electron from an electron source into the silicon substrate and performing an electron-nuclear controlled-phase gate operation by: moving the electron adiabatically toward the tin atom to achieve a specified level of hyperfine interaction (HFI) between the electron and the nucleus of the tin atom to minimize the effect of noise; holding the electron at the distance of the specified HIFI for a specified duration of time to represent an “on” state; and moving the electron adiabatically away from the tin atom to lower the HFI below the specified level and represent an “off” state