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.
Of course, the investors behind it are also those who don’t let the hawk see the rabbit. If they want to get further investment, they must quickly produce verifiable results.
After chatting for more than two hours, Qiao Yu already understood the current approximate progress. The main research process is still in the theoretical stage.
In terms of practical applications, it is not even as good as IBM's open source Qiskit project. But then again, Qiskit mainly does visual quantum circuit design and runs quantum circuit simulations on classical computers.
Specific quantum hardware execution also requires running quantum computing tasks on quantum processors through the platform provided by IBM.
The idea of ​​these scientists is to allow the classical supercomputing platform to completely simulate quantum computing behavior, which is very different.
So if it succeeds, it means there is no need to rely on quantum hardware, and it can completely change the landscape of the entire quantum computing industry.
The advantage of Qiao Yu's generalized modal axiom system is that it can simulate complex quantum behaviors more efficiently than traditional methods, and optimizes storage and calculation through dynamic mapping and compression of the modal space.
In particular, the distributed computing architecture of modal space is used to achieve more efficient parallel computing.
Having almost understood it, Qiao Yu decided to teach today's scientists a lesson after thinking for a long time.
"Professors, I almost understand your thoughts and progress. I am very optimistic about the prospects of this topic. If you need it, maybe I can mention it in tomorrow's report.
But I will not participate in your research! As I said just now, I don’t have that much energy to devote to this research direction that requires long-term technical research.
But I can help you with some theoretical issues. Well... I have a teacher named Xue Song, who is doing general modal generalization of group theory.
Based on my understanding of quantum computing, group theory is its core tool. Quantum states and specific quantum operations can be described by the representation and structure of groups.
Moreover, when simulating quantum states, modal compression can also be achieved using related group theory tools. For example, the symmetry of dynamic group representation can be used to reduce storage requirements.
So I can introduce him to you. I believe that with the help of Professor Xue, I can help you complete the theoretical derivation process as soon as possible. As for me, I will not join this project."
Yes, Qiao Yu does not intend to get involved in the research of these professors. After returning to China and completing the theoretical derivation, he can confidently apply for research funding for this project.
Are you kidding me?
If he can really handle the quantum simulation of supercomputing platforms, his Xiaoyu technology service platform will usher in a leapfrog development.
Especially if the difficulty of quantum factorization can be solved and the Shor algorithm can be efficiently run on its own platform, the BBC's previous report will not only become a reality, but you will also have to call him dad...
After all, the mainstream encryption protocols, encryption keys and electronic signature technologies these days still use RSA or ECC.
If the simulated quantum computing platform can be factored extremely efficiently, it means that all these keys can be easily cracked.
This also means that the security standards of the entire industry must be re-formulated. Whoever can provide countermeasures technology will be the setter of future financial security standards.
At that time, financial service providers around the world will have to line up to pay protection fees. The only problem is that this project cannot be played by him alone.
It’s not even something he can just assemble a team to do well. So he has to apply for a national project after returning.
After Zheng Xiwen gave him a lesson, Qiao Yu also realized that if this kind of project can be successfully developed, it will definitely not work if there is no one behind it.
Of course, if quantum computing can be perfectly simulated, it will not only affect the entire financial security system, but also have positive significance.
After all, being able to run the Shor algorithm efficiently means that the Grover algorithm can also be run efficiently. This means that as long as you are connected to the financial system, you can quickly identify various and countless capital flow paths.
In a sense, this means that you can keep an eye on dozens or millions of accounts at the same time, sort out the flow of every abnormal fund, and support real-time updates.
In fact, there is no need for Zheng Xiwen to teach him. Qiao Yu now thinks with his toes that this kind of technology that can provoke a big country to fight a war cannot be mastered by one person.
At least it cannot be in his current hands, otherwise it would be seeking death, and even Jesus could not save it.
Regarding Qiao Yu's choice, the mathematicians who specially invited him to come and have a chat were still very sorry.
There was no way, they couldn't force Qiao Yu to do the project they were optimistic about. To be honest, despite the salon just now, everyone was talking enthusiastically, but in fact, no one knew whether this project would be successful.
To put it bluntly, if the previous methods such as sparse matrices, tensor networks, Monte Carlo, low-rank approximation, variational quantum simulation, etc. were not very effective, they would not have considered dragging Qiao Yu into this position.
In a big team.
It was originally a two-way multiple choice question.
Just when they got to the elevator with Qiao Yu, Chen Zhuoyang, who had not interrupted the whole meeting, couldn't help but say: "Junior brother, I think what they said is very interesting."
Qiao Yu glanced at Zheng Xiwen, who had been following him silently, and then started teaching Chen Zhuoyang.
It's not loud, but the two people around you can definitely hear it.
"Listen to them! Don't you have any idea how difficult this project is? Is this something they can handle with the little money they have?"
Chen Zhuoyang immediately stopped talking.
What he said just now was based on his infinite confidence in Qiao Yu. Since Qiao Yu said it was difficult, then the difficulty was probably infinite.
But after getting off the elevator, Qiao Yu took the initiative and said: "But then again, this project is really exciting. After all, if supercomputers can really simulate quantum computing, the security of the financial system will be a generation ahead of others.
Moreover, if this theory is developed, the technology in simulation calculations will also advance by leaps and bounds, which will be of great help to the research of new materials, aerospace technology, such as moon landings!
Now people have started this research, but if they succeed, we will fall behind. This is not good news."
Chen Zhuoyang frowned and said, "No, junior brother, didn't you just say that their subject is difficult and basically impossible to succeed?"
Qiao Yu glared at Chen Zhuoyang and said: "When did I say it's basically impossible? I mean it's very difficult for them to have the funds now. But with Lao Xue joining us, and with the help of our generalized modal axiom system, maybe
Is it done?
And only when it is difficult is it challenging! For example, is the Riemann Hypothesis difficult? Did I do it differently? No, remember to remind me that when I go back, I will apply for this project and I must try to do it before them."
"Ah?" Chen Zhuoyang was stunned and asked subconsciously: "Then if you plan to do it, why don't you cooperate with them?"
Qiao Yu blinked. He couldn't tell now whether Chen Zhuoyang was deliberately complimenting him or if he really didn't react.
So he said earnestly: "If I have the confidence to complete such an important project with my own team, why should I cooperate with others?
If you think so, I introduced Lao Xue to them. If they can really chat with each other, it means that our generalized modal axiom system is really useful.
In this way, I can easily inquire about their research progress from Lao Xue. And I am more familiar with this system than they are, so the research progress will definitely be faster than theirs."
Chen Zhuoyang was stunned and murmured subconsciously: "Junior brother, you don't seem very kind, do you?"
Qiao Yu retorted seriously: "What does it mean to be unkind? What are you thinking, Senior Brother Chen? They just use a PPT to fool people, what's so unkind about this?"
You should understand that I am teaching them a lesson. Using a PPT to deceive academic newcomers is not only unethical, but also risky."
Chen Zhuoyang, who realized that his junior brother was playing tricks again, was speechless. After a while, he said: "Well... they don't seem to have brought out the PPT."
"Look, I'm just saying that they don't care. They deceive the rookies in academia and don't even want to take the time to make a PPT. Don't worry about it. Just remind me when you go back.
Where are we going in the morning? By the way, has Director Tian finished his work? Why does it feel like Director Tian is busier than me now? This is unscientific!"
Chapter completed!