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Chapter 71 Practice is the only criterion for testing truth

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

After drawing the Bloch sphere and establishing the coordinate system.

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

"The so-called Pauli-X gate is actually just rotating 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 straightening out the order, Xu You constructed one after another, more complicated calculation formulas on the draft paper.

Through a series of calculations, Xu You gradually approached his ideal result.

"If there is no problem with my inference, the improved Pauli-X gate should theoretically be able to stably realize the high-dimensional quantum gate of single photon!"

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

Even happier than getting full marks in the previous trials.

Because the higher the dimension of the quantum gate, its complexity increases exponentially.

For the time being, Xu You only counted the 10-dimensional Pauli-X gate.

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

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

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

Lou Song also noticed Xu You's calculation process just now.

Lou Song is already used to Xu You sometimes entering this almost crazy learning state.

Although he was very curious about what Xu You was up to, Lou Song would definitely not disturb Xu You without authorization.

"Lou Song, are you interested in checking the calculation for me?"

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

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

In fact, Lou Song still didn't think the previous training life was that interesting.

For Lou Song, those questions are still a bit simple.

The most difficult competition questions were not as interesting as Xu You's research questions.

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

Regarding the professional knowledge of quantum physics, Xu You naturally passed it by.

The key lies in the following series of mathematical operations.

"Just start from this step and continue to this step. Help me see if I'm wrong."

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

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

Even with the bonus of deep learning status, Xu You can't reach Lou Song's level.

The state of deep learning is more about improving learning efficiency and keeping the brain in a good state.

It does not change the brain power and knowledge reserve.

After half an hour.

Lou Song buckled the pen.

"Well, I figured it out."

Xu You frowned upon hearing this.

"Is... so fast?"

I clearly calculated that it was twelve hours long.

How come Lou Song is finished in half an hour?

Even Xu You spent some time analyzing the problem, choosing the route, etc. during the derivation process.

But Lou Song's speed is really too fast.

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

It's a pity that the system can only evaluate Xu You's own ability, and cannot measure other people's ability.

"The problem is determined, just follow the train of thought to solve it. In many cases, 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 some relief.

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 fine."

Such a complicated calculation, since the results of two people are exactly the same, it can basically be sure that the answer is correct.

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

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

In the answering steps, Lou Song can always find the easiest method, thereby reducing his own calculations.

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

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

Zhao Weijia has finished writing the thesis, and can submit it only after Wang Xiangwu and others help to review and proofread it.

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

"Xu You, I heard that you are going to start a project yourself? You are really not easy, you have to do your own scientific research projects before you enter school."

"Hey, just try it first. Brother, I happen to have something I want to ask you for advice."

"It's impossible to ask for advice, but we can communicate together."

The current Xu You is no worse than Zhao Weijia in many respects.

Xu You took out his prepared plan and passed it to Zhao Weijia.

"Is it possible to realize the high-dimensional quantum gate scheme of any single photon stably? It's really a good topic."

As a Ph.D. in quantum physics, Zhao Weijia naturally knows the significance of this subject.

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

But when Zhao Weijia looked down carefully.

But regrettably found.

For myself, I seem to be a little confused.

"Xu You, for quantum gates, we basically use more conventional solutions, and have not tried to design more advanced quantum gates by ourselves. The general idea is quite good, but there are some specific points. To be honest, I also see don't know."

"Then ask Professor Wang to have a look?"

Zhao Weijiaxin said that now that Wang Xiangwu is busy with his thesis, it's better not to disturb him.

"Professor Wang has been busy with my doctoral dissertation recently, so I'd better wait a few days before looking for him. Xu You, in your opinion, how sure are you of your plan?"

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

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

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

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

"So, didn't you push it to the 10-dimensional Pauli-X gate? Let's start with the 4-dimensional one. If the 4-dimensional one doesn't work, then the solution may be wrong. If the 4-dimensional one is okay, let's continue. Verify in higher dimensions."

The lower the dimension of the quantum gate, the lower the cost of proof.

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

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

After that, Xu You and Zhao Weijia started preparing for the experiment together.

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