Chapter 225: I have some new ideas

Xu Qingzhou first went to the dormitory to rest for half an hour, arriving at the laboratory at 1:50. He met the laboratory head, Academician Ma Liangzai, and also Professor Chang.

Academician Ma Liangzai looked Xu Qingzhou up and down, exclaiming with some surprise: "You're frighteningly young. Old Chang, back when we were your age, we were still just gnawing on textbooks."

"Indeed, little Xu was poached from the Mathematics Academy by Director Ji and the others," Professor Chang said.

Xu Qingzhou smiled and said: "You flatter me. I still have much to learn from all you seniors."

Professor Chang said: "Little Xu, your experiment is very meaningful. Based on your theoretical model of the spatial walk-off effect's impact on compression, we have already made subtle adjustments to the signal source."

"Currently, the stability of the signal channel has increased by a full 1.5%."

"I'm glad I could help," Xu Qingzhou said. It was about what he had estimated initially. 1.5%—in such large-scale experiments, even 0.1% could have a decisive impact.

This model would be combined with the previously completed attitude control model, free-space loss model, and others to form a complete model system.

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"The mathematical model of a quantum state allows the state vector to be represented as a linear combination of basis vectors. Ours will be more complex; we will use this as a foundation to build a more efficient and advanced model," Professor Zhong said to Xu Qingzhou and Deng Ziyi. "This is the basic framework I built last night. c1, c2,..., cn are complex coefficients representing the weights of each basis state in the total state. The squared modulus of these coefficients (|c_i|^2) represents the probability of the corresponding basis state being measured."

It's just too difficult.

After the work meeting ended, everyone quickly threw themselves back into work.

The task for Professor Zhong's group during this period was to create a mathematical model for quantum states.

Professor Zhong was stunned for a moment: "Go ahead."

*Phew*~ It's good that this Xu Xu Shidi Xu is just like me.

Professor Chang asked: "Little Qi has already told you about the task, right?"

Time was extremely tight.

Currently, they were in the stage of breaking new ground.

"Yes, thank you, Professor Chang," Xu Qingzhou nodded with a smile.

Once he adapted, he would certainly be able to play a significant role.

The major experiment was to be conducted in December. It was May now; while it seemed like there were six or seven months in between, there was simply too much to do. Besides the models, a large number of reception tests needed to be conducted continuously.

"Oh, okay."

Professor Chang nodded, "You follow Professor Zhong first. Judging from those papers, matrix and linear algebra are exactly your areas of expertise. We'll talk about other experiments after you're familiar with the project."

"Professor Zhong, I have some new ideas."

"Good, that's the general framework. Little Xu, you are responsible for calculating the numerical values of the diagonalized Hamiltonian H. Little Deng, you organize the data files over there, categorize them like before."

Professor Zhong led Xu Qingzhou and Deng Ziyi to be responsible for the complex vector representation in the model, while two others were responsible for the design of the density matrix representation.

In quantum mechanics, a quantum state is usually represented as a linear combination of complex vectors, and this vector exists in an abstract mathematical space called Hilbert space.

"Yes, he told me. I'll follow Professor Zhong for now."

Professor Zhong said a lot, to the point where Deng Ziyi, standing next to him, couldn't keep up. While trying her best to remember, she glanced at Xu Qingzhou beside her and saw his blank expression, which was much like her own, and she felt relieved.

It was better to have more people helping with odd jobs and organizing data.

However, seeing Xu Qingzhou still dazed, she shook her head inwardly, thinking that this junior brother's acting skills weren't great either—the professor had finished speaking, and he was still pretending. Just as she was about to tug on his sleeve, she heard Xu Qingzhou say:

"【|\psi\rangle=c_1|\psi_1\rangle+c_2|\psi_2\rangle+\cdots+c_n|\psi_n\rangle】" in the adjacent calculation classroom.

On this side, Professor Zhong was writing the formula on the blackboard while speaking.

Professor Zhong assigned tasks to the two of them.

Academician Ma and Professor Chang encouraged Xu Qingzhou briefly before calling everyone out for a meeting.

"For this part, we can define the Hamiltonian H and initial state ψ(0) of a quantum system, then use numerical methods—the matrix exponentiation method of the time-evolution operator—to solve the Schrödinger equation and obtain the quantum state ψ(t) at any time t."

It wasn't scary to not keep up; what was scary was being the only one who couldn't keep up.

However, all things remain the same at their core.

Xu Qingzhou pondered in his mind. Professor Zhong's basic direction was correct, but individual parts could be optimized. For example, in the third point of the second part, the dimension of the Hilbert space could be increased, expanding from a traditional three-dimensional Hilbert space to a four-dimensional Hilbert space for multiple qubits.

He had once led the development of several quantum satellites; he was far too familiar with things like orbital parameters and quantum states.

Although she had been here for a month, she had just adapted to the busy life here. That feeling was like a level 1 hero who had just entered the novice village being dragged by teammates to fight a level 20 boss.

There were 16 people in the entire laboratory, and including interns like them, there were 19.

For low-orbit satellites, the difficulty of alignment and tracking between the star and the ground increased linearly, and the quantum information received was equally scarce.

Moreover, this student Xu Qingzhou could be called a mathematics "expert" specializing in the field of prime numbers, but his linear algebra and functional analysis didn't seem weak either.

Current work content—responsible for designing mathematical models and algorithms for quantum states and entangled states.

Of course, there were differences. For instance, the quantum satellite development technology at that time was already relatively mature, and they basically launched medium-to-high orbit satellites.

Deng Ziyi had no objections. This junior brother was definitely better than her at math; it was only right for her to do the odd jobs.

Such meetings had no empty talk; they were basically summarizing the previous week's experimental situation, pointing out deficiencies in the experiment with sharp accuracy, or arranging the upcoming experimental schedule.

!.

The Jingda Physics Academy had been a bit lackluster these years, but now it was different. He saw hope in Xu Qingzhou, so he thought about letting Xu Qingzhou come into contact with other experiments whenever possible to accumulate experience in advance.

Professor Zhong and the others' thinking jumped too fast.

The group Xu Qingzhou was in mainly provided computing power support and had 5 people. Besides Professor Zhong Yongtao, it included 2 doctoral students, plus Xu Qingzhou and Deng Ziyi.

Actually, he didn't have very high requirements for these two interns.

Academician Ma was the general head, followed by Professor Chang.

Although his math was very strong and he had published two SCI papers in the physics field, it wasn't that easy to quickly keep up with this kind of large-scale experiment.

Xu Qingzhou was not unfamiliar with the various professional terms in Academician Ma and Professor Chang's mouths.

Xu Qingzhou circled a part of the content on the blackboard and wrote another formula on the side: 【i\hbar\frac{\partial\psi(t)}{\partialt}=h\psi(t)】

Professor Zhong looked at the blackboard, lost in thought. Initially, the method and steps Xu Qingzhou used seemed truly more efficient than what he had just said.

Deng Ziyi was stunned, her expression blank, with only one thought in her mind: Who am I, where am I? What the hell is this?

What kind of hero can fight a level 20 monster at the start!

(End of chapter) ===== CHAPTER 226 =====