Chapter 71 Practice is the only criterion for testing truth
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 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."
Similarly, the Y gate and Z gate also perform similar flipping around different coordinate axes.
After sorting out the logic, Xu You constructed more and more complicated formulas one after another on the draft paper.
Through a series of calculations, Xu You gradually approached his ideal result.
"If my inference is correct, this improved Pauli-X gate should theoretically allow for a stable high-dimensional quantum gate for single photons!"
After achieving the ideal result, Xu You suddenly became excited.
I was even happier than when I got full marks in the previous trials.
Because the higher the dimension of the quantum gate, the more complex it is.
Xu You has only calculated the 10-dimensional Pauli-X gate for now.
Even so, this is far more optimized than the previous basic quantum gates.
After coming out of the deep learning state, Xu You realized that he had actually been calculating for four hours.
Including the special effects of the deep learning state, the actual time used has reached twelve hours.
Lou Song also noticed the series of calculations that Xu You had just performed.
Lou Song has become accustomed to the fact that Xu You sometimes enters this almost crazy state of learning.
Although he was very curious about what Xu You was planning, Lou Song would definitely not disturb Xu You without permission.
"Lou Song, are you interested in helping me check it again?"
Seeing Xu You took the initiative to propose it, Lou Song was very happy to accept it.
"Of course. Tell me what you are calculating."
In fact, Lou Song still feels that the previous training life is not that interesting.
Those questions were still a bit too simple for Lou Song.
Even the most difficult competition questions were not as interesting as the ones Xu You was studying.
Next, Xu You briefly explained to Lou Song what he had calculated .
Xu You naturally just briefly mentioned the professional knowledge about quantum physics.
The key lies in the subsequent series of mathematical operations.
"Just start from this step and go all the way to this step. Help me check if there are any mistakes."
"Well, I'll calculate it myself and I'll know if it's right."
When it comes to mathematics, Xu You has to admit that Lou Song is much better than him.
Even with the bonus of deep learning state, Xu You could not reach the level of Lou Song.
The deep learning state is more about improving learning efficiency and putting the brain in a good state.
It cannot change brain power and knowledge reserves.
Half an hour later.
Lou Song put down his pen.
"Well, I figured it out."
Xu You frowned when he heard this.
"Is this... so fast?"
I clearly calculated that it was twelve hours.
How come it only took Lou Song half an hour to finish?
Even during the derivation process, Xu You still spent some time analyzing the problem, choosing the route, etc.
But Lou Song’s speed was really too fast.
Xu You was a little curious about what level Lou Song's math level would be in the system's assessment.
Unfortunately, the system can only evaluate Xu You's own abilities and cannot measure the abilities of others.
"Once the problem is identified, we just need to solve it according to the idea. Often, it is more difficult to accurately convert the actual problem into a mathematical model."
After hearing what Lou Song said, 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 correct, the result is the same!"
"Then it should be fine."
For such a complex calculation, since the two people's results are exactly the same, it can be basically confirmed 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 was much simpler than his own.
In the solution steps, Lou Song can always find the simplest method to reduce his own calculation workload.
Xu You learned a lot from Lou Song's derivation process.
The next day, Xu You came to the laboratory with his own deduction results.
Zhao Weijia has completed the writing of the paper and can submit it after Wang Xiangwu and others help review and proofread it.
Compared with his previous state of decadence, 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 an extraordinary guy. You are doing your own research project before you even enter school."
"Hehe, I'm just going to give it a try first. Brother, I just happen to have something I want to ask you."
"It's not like I'm asking for your advice, but we can have a discussion together."
In many aspects, Xu You is now no worse than Zhao Weijia.
Xu You took out the plan he had prepared and handed it to Zhao Weijia.
"Is there a solution to stably implement a high-dimensional quantum gate for any single photon ? This is really a good topic."
As a PhD in quantum physics, Zhao Weijia naturally knows the significance of this topic.
Of course, at the same time, the difficulty of this topic is also not small.
But when Zhao Weijia looked down carefully.
But regrettably discovered.
I myself don’t seem to understand it very well.
"Xu You, for quantum gates, we basically use more conventional solutions and have not tried to design more advanced quantum gates ourselves. The general idea is good, but to be honest, I don't understand some of the specifics."
"Then let's ask Professor Wang to take a look?"
Zhao Weijia thought that Wang Xiangwu was busy with his thesis now, so it would be better not to disturb him for the time being.
"Professor Wang is busy with my doctoral thesis recently, so I'd better wait a few days before contacting him. Xu You, how confident do you think your plan is?"
"I checked with my roommate, at least the math should be fine."
"Is that the CMO champion? That's pretty reliable."
The parts that Zhao Weijia couldn't understand were basically the complicated mathematical calculations.
From this point of view, Xu You's plan is indeed quite promising.
"So, you have pushed the Pauli-X gate up to 10 dimensions, right? Let's start with 4 dimensions. If 4 dimensions don't work, then maybe the solution is wrong. If 4 dimensions are fine, we will continue to verify in higher dimensions."
The lower the dimension of the quantum gate, the lower the cost of proving it.
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 began to prepare for the experiment together.
