In the process of quantum computing, the use of Bloch sphere can greatly improve computing efficiency.

After drawing the Bloch sphere and establishing the coordinate system.

Xu You quickly connected the matrix with the spherical coordinate system.

"The so-called Pauli-X gate actually just rotates the Qubit by π degrees on the X-axis."

In the same way, the Y gate and the Z gate also perform similar flips around different coordinate axes.

After smoothing out the order, Xu You constructed more complex calculations one after another on the draft paper.

Through a series of calculations, Xu You gradually came close to his ideal result.

"If there is no problem with my inference, by improving the Pauli-X gate in this way, theoretically it should be possible to stably realize a single-photon high-dimensional quantum gate!"

After launching the ideal results, Xu You suddenly became excited.

I am even more happy than getting perfect marks in the previous selection test.

Because the higher the dimension of quantum gates, their complexity increases exponentially.

Xu You has only calculated the 10-dimensional Pauli-X gate for the time being.

Even so, this is far more optimized than the previous basic quantum gate.

After coming out of the deep learning state, Xu You realized that he had calculated the time for four hours.

Including the special effects of deep learning state, the actual time spent has reached twelve hours.

Lou Song also noticed the series of calculations Xu You had just done.

Lou Song has become accustomed to the fact that Xu You sometimes enters this almost crazy learning state.

Although I am very curious about what Xu You is thinking, Lou Song will definitely not disturb Xu You without authorization.

"Lou Song, are you interested in helping me check it?"

Seeing Xu You's initiative, Lou Song was very happy to accept it.

"Of course, tell me quickly, what are you calculating?"

In fact, Lou Song still felt that the previous training life was not that interesting.

Those questions were still a bit simple for Lou Song.

The most difficult competition question is not as interesting as the question Xu You studied.

Next, Xu You briefly explained to Lou Song what he had calculated.

Naturally, Xu You skimmed over the professional knowledge about quantum physics.

The key lies in the following series of mathematical operations.

"Just start from this step and go all the way to this step. Help me see if there are any mistakes."

"Well, I'll do the calculations myself and then I'll know if it's right."

In terms of mathematics, Xu You must admit that Lou Song is still much better than him.

Even with the bonus of deep learning status, Xu You cannot reach the level of Lou Song.

Deep learning state is more about improving learning efficiency and keeping the brain in a good state.

It cannot change brainpower and knowledge reserves.

Half an hour later.

Lou Song fastened the pen.

"Well, I figured it out."

Xu You frowned when he heard this.

"Is this... so fast?"

I had obviously calculated it for twelve hours.

Why is this child Lou Song finished in half an hour?

Even Xu You spent some time on problem analysis, route selection, etc. during the derivation process.

But Lou Song's speed was really too fast.

Xu You was a little curious as to what level Lou Song's mathematics level would reach in the systematic evaluation.

Unfortunately, the system can only evaluate Xu You's own abilities and cannot measure other people's abilities.

"The problem has been identified, and it's just a matter of following the ideas and solving it. Many times, how to accurately transform the actual problem into a mathematical model is the more difficult thing."

Hearing Lou Song's words, Xu You finally felt a little relieved.

Xu You took Lou Song's draft paper and compared it with his own results.

"It should be right, the result is the same!"

"Then it should be no problem."

For such a complex calculation, since the results of two people are exactly the same, it is basically certain that the answer is correct.

The possibility of two people making mistakes at the same time and getting the same wrong result is indeed too small.

In addition, Xu You also discovered that Lou Song's calculation process was much simpler than his own.

In the solution steps, Lou Song can always find the simplest method to reduce his calculation amount.

Xu You learned a lot from Lou Song's derivation process.

The next day, Xu You came to the laboratory with his derivation results.

Zhao Weijia has completed the writing of the paper and is only waiting for Wang Xiangwu and others to help review and proofread it before submitting it.

Compared with his previous sinking state, Zhao Weijia's mental state is much better.

"Xu You, I heard that you are going to start your own research project? You are really not an easy boy. You have to start your own scientific research project before you even enter school."

"Hey, I just want to try it out first. Senior brother, I just have something I want to ask you."

"We can't talk about asking for advice. We can talk about it together."

Xu You now is no worse than Zhao Weijia in many aspects.

Xu You took out his compiled plan and handed it to Zhao Weijia.

"Is it possible to stably realize high-dimensional quantum gates for arbitrary single photons? It's really a good topic."

As a doctorate in quantum physics, Zhao Weijia naturally knows the significance of this topic.

Of course, at the same time, the difficulty of this subject is not small.

But when Zhao Weijia looked down carefully.

But sadly discovered.

I don't seem to understand something.

"Xu You, for quantum gates, we basically use more conventional solutions. We haven't tried to design more advanced quantum gates ourselves. The general idea is quite good, but there are some specific points. To be honest, I don't think so.

don't know."

"Then let's take a look at Professor Wang?"

Zhao Weijia said heartily that Wang Xiangwu was busy with his thesis now, so it would be best not to disturb him yet.

"Professor Wang is currently busy with my doctoral thesis, so I'd better wait a few days before talking to him. Xu You, how confident do you think you are with your plan?"

"I checked with my roommate. At least the math process should be fine."

"Is this the CMO champion? That's pretty reliable."

What Zhao Weijia couldn't understand were basically the complicated mathematical operations.

From this point of view, Xu You's plan is indeed relatively reliable.

"So, didn't you push the 10-dimensional Pauli-X gate? Let's start with the 4-dimensional one. If the 4-dimensional one doesn't work, then maybe the solution is wrong. If the 4-dimensional one doesn't work, let's continue.

Verify it to a higher dimension.”

The lower the quantum gate dimension, the lower the cost of proving it.

After all, practice is the only criterion for testing truth.

"Okay, senior brother, let's start with the 4-dimensional Pauli-X gate first."

After that, Xu You and Zhao Weijia started preparations for the experiment together.
Chapter completed!