This is a very simply decorated conference room in the hotel. It has a long conference table, and the biggest highlight is a wide floor-to-ceiling window.

If you raise your head slightly and look out the window, you can see the Philadelphia skyline.

Five scholars were already sitting at the table. There were various coffees, teas and handwritten notebooks placed on the only conference table in the room.

When Qiao Yu walked into the conference room, what he saw was that everyone in the conference room was talking to the people around them, and the room was full of buzzing sounds.

"Ha, today's protagonist is finally here. Joe, you must not know that in order to have a discussion with you, some people had to get up early today."

A professor sitting at the front stood up and spoke enthusiastically. The conference room fell silent instantly.

Everyone's eyes were focused on Qiao Yu.

Qiao Yu was a little confused and turned to look at Senior Brother Chen.

He originally thought that he was considered a figure in the mathematics community. If he was invited to attend such a small-scale meeting, he should know not only everyone, but at least most of them.

Who would have thought that he didn't know anyone in the conference room. And it seemed that no one had any accompanying scientific researchers, and he was the only one with Zheng Xiwen.

"Junior brother, let me introduce you first..."

"No need Chen, we can introduce ourselves, this will save some time. I am Nelson Wilson, professor of physics at Princeton. Well, my main research direction is Gaussian unitary sets and quantum state evolution."

"Hello, Professor Wilson." Qiao Yu said hello immediately, but he was still thinking about why a physics professor was sitting in the first place even though everyone was here for a mathematics conference.

"Just call me Nelson."

Nelson Wilson answered kindly, then pointed to the old professor beside him and said: "This is my old friend, Professor Harris Robinson of Cambridge University. He mainly studies dynamic systems and chaos theory..."

"Hello, Professor Robinson."

"Hello, Joe, I've always wanted to meet you, and I finally found the opportunity today."

"Isabelle Droit, Ecole Normale Supérieure in Paris, mainly studies the ζ function and Dirichlet series distribution."

"Hello."

"Kenta Inoue, professor at Kyoto University, focuses on the extension of number theory to modal geometry theory. Mr. Qiao Yu, I am very concerned about your generalized modal theory."

"Hello, thank you."

…

After a round of greetings, Qiao Yu found that the people attending today's small meeting were indeed very large, from Princeton, Harvard, Cambridge University, Normal School in Paris, Oxford University, Kyoto University...

They were all big-name professors from world-renowned universities. Although these people only mentioned their research directions when they introduced themselves, Senior Brother Chen beside them briefly talked about these people's achievements in a low voice.

Nielsen has won the Nobel Prize and the Dirac Medal, and Harris has won the Poingaret Prize, and was nominated for the 2014 Fields Medal, and was even a finalist.

Others such as Clay Award, Sarah Hoffman Award, Asian Mathematical Congress Award, Gordon Bell Award, ACM Annual Technical Achievement Award...

In short, there are a lot of awards that Qiao Yu has never heard of.

It only took about five minutes to get to know each other.

Soon Nelson asked Qiao Yu to sit next to him, and then started the meeting.

"This is an informal meeting. You can understand it as a brainstorming salon. We have recently been paying attention to the generalized modal axiom system. Since I am the convener of this salon, I first ask a question.

I have always felt that the density function of the generalized modal axiom system is similar to the distribution of quantum states. Especially the modal path you described in your paper, I also found some similar symmetries in the quantum state matrix I recently studied.

Phenomenon.

So, Joe, have you ever considered that the construction of modal space can be generalized to theoretical simulations of quantum computing?"

Qiao Yu blinked. This feeling was very familiar. After he solved the Riemann Hypothesis, when the professors in Beijing came to visit him in the past half month, they also asked questions directly after greetings.

Good guy, he lived like this every day when he was in China. Will he still have to live like this after coming here?

But this idea is really new. After thinking for a moment, Qiao Yu said: "Well, do you mean to map the modal path to the quantum state matrix?

To be honest, I haven’t really studied this area. But I think from a geometric point of view, this should be a relatively reasonable extension.”

Next to me, Isabella added: "Actually, we have had some discussions in the past few days. This involves a key issue, is the isomorphic mapping of the modal space strictly unique?

To achieve this generalization on high-dimensional modal paths, we feel it is necessary to further clarify the analytical properties of its density function, otherwise information may be lost."

Qiao Yu blinked and said in confusion: "Well, when I proved the Riemann Hypothesis, didn't I already prove the uniqueness of the isomorphic mapping of the modal space and the analytical properties of the density function? Shouldn't this step be a theoretical step?

A prerequisite for settlement and no dispute?”

"No, no, no, Joe, you got it wrong. We are not denying that the isomorphic mapping between modal space and the complex plane has been rigorously proven.

However, when this system is extended to random matrix theory and high-dimensional modal paths, the spectral distribution in the random matrix involves many new variables and dimensions.

Well, for example, can the spectral distribution of the Gaussian unitary set be completely characterized by the density function of the modal space? And as the dimension increases again, does the isomorphic mapping of the modal space still maintain uniqueness?

You know, when we try to combine modal space and random matrix theory, we must put forward more detailed requirements on the basic assumptions of isomorphic mapping, and think about whether there is some unknown special situation that may destroy this mapping."

Nelson explained with a serious face, and then said seriously: "So after discussing with everyone last time, I put forward a new conjecture.

Can the spectral distribution of modal paths and stochastic matrices be unified through some higher-dimensional space? If so, this means we will create a high-dimensional unified framework applicable to all complex analysis-related fields."

Qiao Yu's eyes lit up when he heard this question.

He probably understood why Director Tian and Mr. Yuan actually wanted him to attend such a world-class conference.

These mathematicians and physicists always have some very novel and fantastic ideas. The level of divergence of thinking of these scientific madmen in a complex environment is absolutely unmatched by a scientific research environment.

"Joe, there's no doubt I'd love for you to join us! You should know the potential value of this question!"

Qiao Yu blinked and didn't respond.

With his understanding of the generalized modal axiom system, he certainly knows the potential value and even application value.

In just that short moment, he had already thought of many new things to play with.

For example, combining modal space with the evolution of quantum state matrices and extending the concept of Riemann's hypothesis to random matrix theory can help his Xiaoyu computing platform design more efficient algorithms.

However, he had not done much research on random matrices and quantum states before, so he did not think of this topic.

Qiao Yu looked around at the mathematicians and physicists with different expressions around him.

Especially Nielsen, whose eyes are particularly eager, is indeed a little excited about this research. After all, it can realize his current ideal, but there is no look of interest on his face...

"If it was just a brief discussion today, of course I would have no problem. But to be honest, I don't have much time for this topic. Professor Wilson, to tell you the truth, I am not interested in the study of random matrices at all.

I still have a lot of work to do next. For example, as everyone knows, I mentioned three conjectures about prime numbers in my paper. My next work will focus on proving those three conjectures!"

Qiao Yu said seriously.

I have to say that Qiao Yu's statement was very scholarly.

What is the use of what you are studying? Is it as advanced as what I am studying? Random matrices? No dog can learn...

Especially those describing chaos physics. Qiao Yu is a real theoretical mathematician!

Sure enough, Nelson Wilson frowned and began to think about the words: "Qiao, how should I put it, I know that it is very presumptuous to persuade a mathematician to put his energy into an area that he is not interested in.

But you may not know the application potential of this research. How about we introduce you to some of our recent results first, and then you can make a decision?"

"Okay, this salon is meant for everyone to sit together and discuss issues, you say."

The next two hours gave Qiao Yu a taste of what salon-style discussions abroad were like.

Most of the time, he just listened silently, occasionally interjecting a few words, but soon he understood why these guys were so eager about this issue.

To put it bluntly, I also want to build projects.

It's just that unlike China, the project orientation here is generally capital-driven.

Several mathematicians and physicists in related fields want to work on a big project together - to promote quantum computing simulation technology.

As we all know, quantum computers have many innate advantages, and Google has been doing research in this area. The media has even exaggerated the threat of quantum hegemony.

But in fact, there are still a lot of problems that need to be solved in quantum computing. In particular, there is still a long way to go before universality can be solved.

And judging from the current research progress, quantum computers are only useful in a few aspects compared to classical electronic computers.

For example, complex combinatorial optimization problems, cryptography and information security, big data search and sorting, etc. And they are very dependent on quantum algorithms.

At least at this stage, quantum algorithms are only better than classical algorithms under limited conditions and have no universal applicability.

Therefore, these mathematicians and physicists have been studying how to use classical electronic computers to simulate quantum computing, and let supercomputers do the work of quantum computing simulation.

But there is a problem. The state space of a quantum system grows exponentially with the number of particles, while the resource growth of a classical electronic computer is linear.

The emergence of the modal axiom system, especially the method by which Qiao Yu proved the Riemann Hypothesis, allowed them to find that many problems could be simplified under the generalized modal axiom system proposed by Qiao Yu.

Because Qiao Yu’s system happens to be a system of generalized modal axioms that can geometrize and structure complex high-dimensional spaces. Especially through modal paths and modal density functions, it can simplify the understanding of the evolution of high-dimensional states in random matrices.

.

But this requires completing a core theoretical proof: that is, whether the mapping of modal space and random matrices can maintain the same rigor in new boundary conditions or high-dimensional spaces.

If this problem can be proven, the generalized modal axiom system can be introduced into this work. As long as the theoretical proof is completed, the project can be launched directly.

It's still a big project.

The investment in quantum computer hardware research is huge. If a new supercomputing platform can be built and directly used to simulate quantum computing, it will mean tens of billions of investments from many technology companies.

Check out the correct version one by one!

Even though the research funds currently attracted by these professors are not much, they are still two to three million dollars, still in U.S. dollars.
To be continued...