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Physicists link the Riemann Hypothesis to phase transitions in quantum systems

A new study in Nature Communications has established a link between the Riemann Hypothesis and dynamical phase transitions in engineered quantum systems, demonstrating the effect on a quantum processor.

First posed in 1859, the Riemann Hypothesis is one of the longest-standing unsolved problems in mathematics. It underpins parts of cryptography, as well as more than a thousand theorems proved on the assumption that it is true.

Physicists have previously proposed physical counterparts to this mathematical statement. The aim was to map the Riemann Hypothesis to something concrete, such as the energy levels of a quantum system. The new study ties the hypothesis to how a quantum system evolves over time.

Claude AI finds cryptography weaknesses human experts missed

AI company Anthropic has announced that its unreleased model, Claude Mythos Preview, has discovered previously unknown mathematical weaknesses in cryptographic algorithms that human researchers had missed for years.

Cryptography uses sophisticated algorithms to protect web traffic, email, software updates and sensitive information like banking details. It does this by rendering the data completely unreadable.

The Anthropic team describes its work in two papers.

DNA origami turns secret messages into nano–Morse code that acts as multiplayer molecular encryption

Mathematics has always been at the core of securing information. From online banking to government communications, modern society relies on cryptography, in which complex mathematical algorithms transform readable information into an unreadable form to keep it secure. But as computing power grows and quantum technology advances, these mathematical safeguards are increasingly vulnerable to being broken. That’s where biology stepped in.

Choosing DNA as their information protector, researchers from China developed a multilayer encryption device that takes advantage of the double-helix molecule’s programmable nature to create an origami structure that can store information with high security.

This new system used tiny, custom-built rectangular structures made of DNA, in which researchers stored the message as dots and dashes, creating a nanoscale version of Morse code. To hide the message further, they turned the flat DNA origami surfaces into tubes, physically blocking the patterns from being read or imaged. With the help of a matching unlocking key, the recipient can trigger a reaction that unrolls the DNA back to its flat form, allowing them to read and verify the message.

The Quantum Era: Accelerating Quantum Computing Roadmap/Resource: Navigating Rapid Technological Progress

Quantum technologies have transitioned from theoretical physics to practical application more swiftly than many expected. Quantum computers represent a paradigm shift in computation. Quantum computing is becoming increasingly feasible, thanks to recent advancements that make it simpler to build and more effective at scaling. Quantum computing, sensing, encryption, and networking are set to provide exponential computational capabilities while concurrently disrupting cybersecurity frameworks.

Quantum computing will empower computers to analyze vast amounts of data and perform calculations at unprecedented speeds. It will only take a few seconds to download libraries.

Microsoft Accelerates Post-Quantum Cryptography Shift to 2029

“Advances in quantum research and development have shifted the risk horizon,” Mark Russinovich, chief technology officer of Microsoft Azure, said. “We believe cryptographically relevant quantum computers could arrive sooner than previously expected – and the work required to prepare is significant, so organizations need to start now.”

To that end, the Windows maker is speeding up the Microsoft Quantum Safe Program (QSP) timeline with the goal of transitioning critical products and services to post-quantum cryptography (PQC) by 2029. The company is also planning to incorporate PQC requirements into its Secure Future Initiative (SFI).

Some key focus areas include upgrading network cryptography by adopting TLS 1.3, building crypto-agility for stored data to facilitate the ability to change cryptography without having to redesign the underlying systems, and transitioning to PQC algorithms to secure trust chains, such as code signing, certificate issuance, key protection, and update pipelines.

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