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Quantum Verifiability



Managing Editor's Note: According to Yahoo Finance, investing in quantum computing could "lead to life-changing returns… and make you the millionaire next door." That's why Jeff issued an urgent buy alert on his top three quantum computing stocks last week.
Shares of NVIDIA have jumped 28,000% since Jeff first recommended it in February 2016. But if you missed out on that AI boom, you now have a second chance with the quantum computing revolution.
The important thing is that you must act now. Before the end of this month, these stocks could explode higher. And there are just a few days left before Jeff's briefing on this opportunity goes offline. That's why it's vital that you watch this now. Go here to get the details before it's too late.
Then read on for more on the quantum breakthroughs happening as we speak…

Quantum Verifiability
By Jeff Brown, Editor, The Bleeding Edge

It was October 2019 when Google first announced that it had achieved quantum supremacy.
That was one of the biggest technology breakthroughs in history.
Google's 54-quantum bit (qubit) superconducting semiconductor – Sycamore – demonstrated that it could perform a complex calculation in 200 seconds that would have taken the world's most powerful classical supercomputer 10,000 years to calculate.
Google's Quantum Computer Circa 2019 | Source: Google
It was a ridiculous feat.
It was almost impossible to grok how a computer about the size of a refrigerator could run circles around the world's fastest supercomputer.
However, as incredible as the feat was, the calculation that was performed had no real-world value.
It wasn't solving anything useful. There wasn't any kind of scientific breakthrough…
It was just a calculation to demonstrate quantum supremacy.
What followed was a painfully long wait for what came next.
Google's Latest Quantum Breakthrough
Google's quantum research organization is well known for keeping its developments close to the chest.
We waited for years for a material update on the progress being made by Google's quantum team… more than five years to be exact.
It wasn't until December 2024 that Google announced its new Willow 105-qubit quantum processor.
Those five-plus years felt like an eternity, but it was worth the wait.
The big news, however, wasn't about Google's new quantum processor…
But about its new quantum-error correction technology.
What made Google's announcement at the time so significant was the introduction of a new error correction methodology.
Specifically, Google demonstrated a system where as qubits increased, error rates decreased.
This demonstrated a clear path towards a fault-tolerant quantum computer.
And when you have that, you have a quantum computer that can achieve scientific breakthroughs.
Most in the industry were thinking that the wait would be at least a couple of years before they heard anything from Google's quantum computing group, based on the last five-plus-year wait.
That is why last week's announcement came as such a surprise.
Almost as if on cue with our Quantum Week held here at Brownstone Research, Google dropped a research paper in Nature titled, "Observation of constructive interference at the edge of quantum ergodicity."
The title might not seem like much…
But the breakthrough – which happened just 10 months after Google's December 2024 announcement – is in many ways even bigger.
The headline was incredible, the kind that we're used to seeing when we think of quantum computers.
Google's latest quantum processing chip – Willow – was able to demonstrate with its new algorithm – Quantum Echoes – that its quantum computer was capable of operating at speeds that are 13,000 times faster than the second-fastest classical supercomputer in the world – Frontier at Oak Ridge National Laboratory.
Google's quantum computer completed the required calculations in 2.1 hours, when it would have taken Frontier 3.2 years to do the same.
Like I mentioned, it's the kind of headline that we're used to reading about when it comes to quantum computing.
But that's not what made the announcement such a big deal.

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A Quantum "First"
What makes it so exciting is that the results of the calculation were verifiable.
This is the first time in history that this has been accomplished, something that Google is referring to as quantum verifiability.
Last week, one of our clever Bleeding Edge subscribers wrote in with an important and very relevant question…
The gist of it was, "If quantum computers can perform calculations that no supercomputer can perform, how can we know the answer is correct?"
I gave some perspective on some of the techniques that the quantum computing industry has been using to confirm that quantum computers are operating correctly in The Bleeding Edge – 1984 Was Supposed to Be Fiction.
The relevant section is titled "The Methodology of the Unknown."
It's a tricky problem to solve and one that is receiving a lot of research and development by those in the industry.
And that's what makes last week's announcement by Google so significant.
Google's Willow-based Quantum Computer Circa 2025 | Source: Sundar Pichai
The quantum computing system shown above is capable of producing verifiable predications.
There are two ways the verification can be performed:
  • Any algorithm or calculation can be verified by another quantum computing system of similar performance.
  • Or an experiment can be conducted on the quantum computer, and then the results can be compared with any real-world system (for example, compared to a molecular structure, atomic interactions, or material properties).
The experiment that Google conducted specifically involved how information spreads and interferes in a complex quantum computing system.
This kind of environment is a chaotic system – or ergodic system (which is where the name of the research paper comes from).
In quantum computing systems with a large number of qubits, the system becomes deeply entangled, resulting in a system that is far too complex for classical supercomputers to understand.
And here's where Google's approach gets really interesting…
The Application Layer for Quantum Computing
Google used something called an echo protocol, which is an exciting technique used to reverse the steps that are taken in a quantum computation.
At a high level, here is what the team did:
  • Run the computation on the quantum computer (i.e., forward in time)
  • Introduce some small perturbation into the system
  • Then run the computation backward in time
  • Watch how the forward and backward computations interfere with one another.
The interference between the forward and backward computations is not destructive. It actually contains hidden information that is impossible to see or calculate by classical supercomputers.
While this all might sound esoteric, Google actually demonstrated a practical application of this approach applied to nuclear magnetic resonance (NMR) spectroscopy.
We can think of NMR loosely like an MRI for measuring magnetic interactions between atomic nuclei. This is useful because it can reveal molecular structures.
Because this method has the ability to verify the quantum computer's output, there are practical and valuable implications for chemistry, drug development, and materials research.
A simple example of what this means is that the development of a new drug will be reduced to days rather than what it takes today – years.
This announcement represents the application layer for quantum computing. For reference, the quantum processor is the hardware layer, and the quantum error correction is the software systems layer.
It enables us to apply quantum computing to practical problems with verified results.
That's why this is such a powerful development.
It might feel natural to think that the next big breakthrough in quantum computing will be another year from now, but that's linear thinking.
Quantum computing has already hit an exponential curve in technological development.
That means that the next breakthrough will come that much faster – within the next 6-8 months, maybe sooner.
This is both exciting and concerning.
Scientific breakthroughs from the use of quantum computers will become abundant, but it also means we have far less time than we think to upgrade today's encryption technology… and, for that matter, blockchain technology.
We may be OK for the next two years or so, but after 3 years of exponential growth in quantum computing, I'm not comfortable assuming that there won't be a major threat.
That's not a lot of time to upgrade the entire internet and harden blockchain technology to be resilient against quantum computing attacks.
Time is short, which is why this is such an urgent matter and an incredible opportunity.
Companies well-established in this space will see their businesses ignite and quickly become acquisition targets by larger tech companies.
Here at Brownstone, we're always looking ahead, with an exponential mindset.
Jeff

Keep reading
George Orwell's 1984 was supposed to be fiction. The U.K. is making it a sad reality.
The most obvious clean energy solution has been in front of us for years.
What happened with the internet on Monday?

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