3 December 2025

3 min Reading Time

Even Frontier – one of the world’s fastest supercomputers – would have needed over three years to compute an algorithm measuring so-called quantum echoes, while Google’s quantum computer, powered by the Willow chip, completed the same task in just over two hours.

TL;DR

  • Google develops “Quantum Echoes”
  • Willow chip with 65/105 qubits
  • 13,000x faster than the best classical algorithm
  • Quantum echoes measure return probability
  • Applications in drug and materials development

Breakthroughs in quantum computing remain largely theoretical – until now. According to its own statements, Google has achieved the first verifiable quantum advantage using an algorithm dubbed “Quantum Echoes.” This refers to a computational task whose result can be independently confirmed by other research groups according to Ingenieur.de.

The experiments – conducted jointly by Google and a research team – ran on the already well-known Willow chip, which offers either 65 or 105 qubits depending on configuration and is designed for exceptional stability and low error rates.

According to Google, the algorithm executed on the Willow chip was approximately 13,000 times faster than the best classical algorithm running on Frontier – the world’s current top-tier supercomputer. As reported by t3n, Frontier would have required roughly 3.2 years to perform the calculation that Google’s quantum computer completed in just over two hours – a finding published in the journal Nature and confirmed by t3n.

Comparable to the Butterfly Effect

Quantum echoes are according to Prof. Dr. Klaus Richter of the University of Regensburg closely related to spin echoes and serve, for example, to calculate the return probability of an N-particle quantum state propagated in time back to its initial state.

Behind the English term “Quantum Echoes” lies an algorithm known as an Out-of-Time-Order Correlator (OTOC) – a mathematical concept originally developed to study stability and information propagation in quantum systems. OTOCs describe how strongly two quantum states are entangled when measured at different times – or, put simply, how a small perturbation grows over time within the system.

Alessandra Wolfsberger RQAvuljojbw Unsplash

Small impulses, large effects: Quantum echoes reveal how disturbances propagate through highly interconnected quantum systems. (Image source: Unsplash / Alessandra Wolfsberger)

As explained by a young science journalist from Ingenieur.de, this phenomenon resembles the “famous butterfly effect in chaos theory – but scaled down to individual quantum particles.”

The experiment proceeds in several phases: Forward operations are followed by targeted perturbations – intentional manipulations of qubits – that spread across the entire processor due to full qubit entanglement. Reverse operations then replay all steps in reverse order – or “rewind” them – to restore the original quantum state.

Finally, the state is read out again, allowing researchers to measure the resulting “echo” and quantify how much the original information has been altered by noise or interactions.

A Time Mirror – with NMR Measurement as the First Testbed

Quantum echoes thus function as a kind of “time mirror.” Google and an international research team have already identified their first practical application: nuclear magnetic resonance (NMR) measurement – a technique widely used in chemistry and medicine to determine atomic structures and molecular bonds.

In this context, Google’s “Quantum Echoes” acted as a “molecular ruler,” enabling precise measurement of distances and couplings between atoms. For the test, molecules containing 15 and 28 atoms were used.

Results matched those obtained via established NMR methods – but also yielded previously inaccessible insights into chemical structures. Google dubs this capability “Quantum-Scope,” drawing an analogy to telescopes and microscopes that open new dimensions of visibility.

The search giant expects real-world applications in drug and materials development to emerge within five years based on research using the “Quantum Echoes” algorithm.

Michel Devoret, Nobel Prize-winning physicist and Lead Scientist at Google Quantum AI, calls the work a milestone, stating – per Ingenieur.de: “This new work presents the quantum computer as a tool to uncover molecular structures – not only in NMR, but perhaps in quantum sensing as well.”

Frequently Asked Questions

What is the Quantum Echoes algorithm?

The Quantum Echoes algorithm is an Out-of-Time-Order Correlator (OTOC) designed to investigate stability and information propagation in quantum systems. It quantifies how strongly two quantum states are entangled when measured at different points in time.

How does the experiment work?

The experiment unfolds in multiple phases: After forward operations, targeted perturbations are introduced via deliberate qubit manipulation – perturbations that spread across the entire processor due to qubit entanglement. Reverse operations then reapply all steps in inverse order to reconstruct the original quantum state.

What is the Willow chip?

The Willow chip is a quantum processor offering either 65 or 105 qubits depending on configuration – and engineered for high stability and low error rates.

How fast is the Quantum Echoes algorithm?

According to Google, the Quantum Echoes algorithm runs approximately 13,000 times faster than the best classical algorithm executing on Frontier, one of the world’s fastest supercomputers.

What applications does the Quantum Echoes algorithm have?

The Quantum Echoes algorithm enables precise measurement of interatomic distances and couplings. Google anticipates that real-world applications in drug and materials development will become feasible within five years based on research using this algorithm.

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