Post-quantum cryptographic algorithms,

Post-quantum cryptographic algorithms, such as CRYSTALS-Dilithium, are currently being tested and integrated into real-world systems to prepare for future quantum threats. CRYSTALS-Dilithium is a lattice-based digital signature scheme designed to be secure against quantum attacks.

**Industry Adoption and Testing:**

- **Microsoft:** Microsoft has been actively involved in implementing quantum-resistant cryptography. They emphasize the importance of careful optimization and integration of post-quantum cryptographic (PQC) algorithms into existing systems and standards. citeturn0search9

- **Google:** In August 2023, Google released a FIDO2 security key implementation that utilizes a hybrid signature scheme combining ECC and Dilithium. This development was done in partnership with ETH Zürich, aiming to enhance security against quantum attacks. citeturn0search11

- **Apple:** On February 21, 2024, Apple announced plans to upgrade their iMessage protocol with a new post-quantum cryptography protocol called "PQ3," which will utilize ongoing keying. This initiative aims to mitigate risks from future quantum computers and "harvest now, decrypt later" attack scenarios. Apple intends to fully replace the existing iMessage protocol with PQ3 by the end of 2024. citeturn0search11

- **IBM:** IBM has partnered with multiple industries to implement post-quantum cryptography standards, recognizing their essential role in protecting the digital economy from future cyber threats. The transition to PQC is viewed as a significant, ongoing project to ensure long-term resilience against emerging technological advancements. citeturn0news15

**Research and Development:**

- **High-Throughput Implementations:** Researchers have developed high-throughput GPU implementations of Dilithium to address the need for efficient, quantum-resistant cryptographic solutions in real-world systems. These implementations aim to enhance the practicality of deploying Dilithium in various applications. citeturn0search1

- **Security Analysis:** Studies have been conducted to analyze the security performance of blockchain systems based on post-quantum cryptography. For instance, research has demonstrated that the Dilithium algorithm can enhance the security of cryptocurrency exchanges by preventing signatures from being counterfeited by quantum computing. citeturn0academia10

These initiatives reflect a growing commitment across industries to adopt and test post-quantum cryptographic algorithms like CRYSTALS-Dilithium, ensuring the security of digital communications and data in the advent of quantum computing.