GKP State Generation via Programmable Optical Circuits

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Solution Overview

Problem

Current methods for generating Gottesman-Kitaev-Preskill (GKP) quantum states of light face challenges in probability and quality, with Gaussian Boson Sampling (GBS) devices having low success rates and high losses, necessitating improved state generation and quality while maintaining scalability.

Innovation Solution

The use of programmable beamsplitters and homodyne detectors in optical circuits to process initial quantum states, including squeezed states and approximate cat states, to generate GKP states through adaptive programming and refinement, enhancing both probability and quality of GKP states.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Productivity

If Gaussian Boson Sampling (GBS) devices are used to generate GKP states, then scalability is maintained, but success rate is low and losses are high

Engineering Contradiction:
Improvesuccess rate of GKP state generationVSAvoidlosses in GBS devices
Core Design Contradiction:
ProductivityVSLoss of energy

Solution Approach 1:

The patent introduces an intermediary process between GBS state generation and final GKP state utilization. Homodyne measurements serve as an intermediary mechanism that processes the multi-peak quantum states from GBS devices, enabling conditional state preparation and improvement of GKP states without requiring direct high-fidelity GBS operations

Inventive Principle:
Principle #24Intermediary (Mediator)

Solution Approach 2:

The patent changes the operational parameters of the optical circuit by using programmable beamsplitters with adjustable transmission ratios and phase shifters with variable phase delays. These parameter adjustments enable optimization of the state transformation process, improving the quality and success rate of GKP state generation from GBS inputs

Inventive Principle:
Principle #35Parameter changes

2Manufacturing precision

If standard GBS devices are used, then device complexity is reduced, but quality of generated GKP states deteriorates

Engineering Contradiction:
Improvequality of GKP statesVSAvoidcomplexity of optical circuit
Core Design Contradiction:
Manufacturing precisionVSDevice complexity

Solution Approach 1:

The patent implements dynamic control elements in the optical circuit, including programmable beamsplitters that can adjust their transmission ratios and phase shifters that can modify phase delays. These dynamic components enable adaptive optimization of the state transformation process, allowing the system to compensate for imperfections and improve GKP state quality while managing circuit complexity through controlled adaptability

Inventive Principle:
Principle #15Dynamics

Solution Approach 2:

The patent incorporates homodyne measurement feedback into the GKP state generation process. The measurement outcomes provide information about the generated quantum states, enabling conditional operations and post-selection strategies that improve the quality of final GKP states. This feedback mechanism allows the system to identify and utilize successful state preparations while discarding or correcting suboptimal outcomes

Inventive Principle:
Principle #23Feedback

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 significantly increases the probability and quality of GKP state generation, addressing the limitations of existing GBS devices by leveraging adaptive processing and multi-peak quantum states to produce high-quality GKP states for fault-tolerant quantum computing.

Implementation Method 1

The optical circuit includes at least one programmable beamsplitter and at least one homodyne detector

Methodology Applied
Scientific EffectHomodyne detection: Homodyne Detection

Implementation Method 2

The optical circuit includes at least one programmable beamsplitter

Methodology Applied
Scientific EffectOptical interference: Interference

Data Source

PatentUS20240346357A1Generation of Gottesman-Kitaev-Preskill (GKP) States Based on Multi-Peak Quantum States of Light
Publication Date: 2024.10.17 XANADU QUANTUM TECHNOLOGIES HOLDINGS ULC
  • US20240346357A1 patent drawing
  • US20240346357A1 patent drawing
  • US20240346357A1 patent drawing

AI summary

A method includes receiving initial quantum states of light or a representation thereof at an optical circuit, from a set of sources. The initial quantum states of light include squeezed states of light, approximate squeezed cat states of light, and/or approximate states of light having at least 3 associated peaks. The optical circuit includes at least one programmable beamsplitter and at least one homodyne detector. The method also includes receiving, at the optical circuit, a signal to cause programming of the at least one programmable beamsplitter and the at least one homodyne detector. The programming is based on at the initial quantum states of light, a measurement of the at least one homodyne detector, and/or a user input. The method also includes generating a plurality of Gottesman-Kitaev-Preskill (GKP) quantum states of light by propagating the initial quantum states of light through the programmed beamsplitter(s) and using the programmed homodyne detector(s).