Progress Report

Last updated:

Large-scale quantum hardware based on nanofiber cavity QED[2] Quantum Error Correction Theory Suitable for Nanofiber Cavity QED Scheme

Progress until FY2025

1. Outline of the project

To perform practical problem-size calculations with high precision, we will need large-scale quantum computers equipped with quantum error correction (QEC) mechanisms. A QEC mechanism continuously corrects errors that occur in the qubits responsible for data retention in a quantum computer, thereby preserving accurate information. When scaling up, key considerations include: what type of QEC mechanism can be built within the design constraints of the physical platform, and what level of precision is required for devices and control systems to ensure stable QEC functionality?
This research project aims to address these issues specifically in the context of implementing quantum computers based on nanofiber cavity QED technology, and to propose optimal design guidelines.

2. Outcome so far

We have been working on two main areas: (1) improving the performance and proposing optimal designs for quantum computing devices based on cavity QED, and (2) elucidating the conditions necessary for building error correction mechanisms based on cavity QED.
In the first area, we have clarified the optimal cavity design for performing gates between atomic qubits trapped in cavities. We also proposed high-performance photon generators using cavity QED and evaluated the theoretical limits of gate performance. Furthermore, toward concrete large-scale designs, we have investigated the optimization of atomic operations and evaluated crosstalk in scenarios where multiple atoms are trapped in a cavity (Fig. 1). These studies provide design guidelines for both individual devices and the overall large-scale architecture, as well as offering experimentalists useful insights into how far improvements in experimental precision would be beneficial.

Fig.1
Fig. 1 Operation of multiple atoms trapped in a cavity

Our research in the second area provides guidelines on what conditions need to be achieved experimentally to build a stable error correction mechanism. For instance, we considered multiple cavity QED network structures (Fig. 2) and clarified the cavity performance required to achieve fault-tolerant quantum computing (FTQC) for each (Fig. 3). More recently, we have also proposed ways to relax FTQC conditions by devising error estimation algorithmspecific to errors in cavity QED networks, and we have suggested measurement-based quantum computation with cavity QED network that makes FTQC conditions easier to achieve.

Fig.2
Fig. 2 Several network structures for implement QEC
Fig.3
Fig. 3 Estimation of cavity performance required for FTQC

3. Future plans

The results obtained so far provide important design guidelines for scaling up quantum computation based on cavity QED networks. As much knowledge has been accumulated regarding the optimization of individual devices and the design of intermediate-scale structures composed of these devices, future work can focus on improving larger-scale implementation efficiency, including operation scheduling. In addition, we will investigate FTQC conditions that take into account more realistic experimental constraints.
Research that provides concrete design guidelines for large-scale quantum computation with error-correction mechanisms based on cavity QED remains unprecedented worldwide, and it is expected to attract increasing attention in the future.