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Chapter 403 The truth of the information entropy arena?

That's right, it's just that unreasonable... No, it's reasonable!

Everyone should have heard the famous story about wheat on the chessboard, right?

Legend has it that chess was invented by the prime minister of King Sherhan in ancient India. King Sherhan liked it very much and asked the prime minister to choose the prize.

The clever prime minister pointed to the chessboard and said: Your Majesty, give me some wheat. Put 1 grain on the 1st square, 2 grains on the 2nd square, 4 grains on the 3rd square, and each subsequent square will be more than the previous one.

Double it, so that all 64 cells are placed.

King Shehan asked people to carry wheat, and then he was embarrassed...

Not to mention that his treasury cannot satisfy it, it will take about 500 years of the world's total wheat production!

By the way, this is most likely a story like Newton's Apple, because this ancient Indian king Sherhan and Prime Minister Dayil seem to have no other deeds except appearing in this story.

Well, the story about Newton’s Apple is made up. Everyone should know this, right?

Returning to the topic, the problem encountered by the birdman is actually the same as placing wheat on the chessboard.

The more the star machine chessboard expands, the faster its computing power increases.

It's not even a chessboard where wheat is placed. Every additional square doubles the total amount, but one increases tenfold!

Obviously the universe has limits on the computing power that can expand infinitely. In reality, this limit is called noise interference, decoherence...

Because observation will destroy the state of the qubit, making its collapse unable to continue.

Therefore, it is necessary to create auxiliary bits and determine the state of the main bit by observing the auxiliary bits. In this way, building a qubit that can self-encode and correct errors requires a lot of actual qubits.

With current technology, tens of thousands of actual bits are usually required to build one logical bit, and in the foreseeable future, this can only be reduced to about a thousand.

So it is really not that easy to create qubits.

As for another method, it is to rely on the development of mathematics to develop approximate quantum calculations, so that even if there is a lot of noise, you can still get almost correct results.

But this is also a world-class mathematical problem. Whether it can be solved or how long it will take to solve it is hard to say.

In short, it is very difficult to achieve quantum supremacy in reality.

The same is true in the high-energy world.

Although by creating a magic weapon, we can cleverly avoid noise interference and solve the problem of decoherence, and one quantum can construct a bit, but if we want to connect the computing quanta into a system...

The more quantum numbers the system has, no, it should be said that the stronger the computing power, the more energy is required.

Energy and computing power seem to be two unrelated things.

Because according to this statement, the power consumption of i9 10900 must be much more than that of 586, and compared with ENIAC, it must be hundreds of billions of trillions of times...

That's certainly not true.

Even if the power consumption of i9 is higher than that of 586, it is not much more, and it is incomparable to the average power consumption of ENIAC, which is a supercomputer.

But if another theory is used to explain it, everything is logical and even natural - information entropy.

The concept of entropy comes from thermodynamics and is a physical quantity that expresses the degree of disorder of a molecular state.

For any known isolated physical system, thermal entropy can only increase, not decrease. This is the second law of thermodynamics that determines the fate of the universe.

Information entropy is just the opposite. It can only decrease, not increase, and is mutually negative with thermal entropy.

And it has been proven that any system that wants to obtain information must compensate by increasing thermal entropy, that is, the two are quantitatively related.

The most important reason why Hawking is famous is that he proposed Hawking radiation. The problem that Hawking radiation solves is called the black hole information paradox, which is related to information entropy.

In the relatively early days, this connection was not obvious. The conversion of energy and information mainly depends on the average power consumption of the computing unit, from tubes to transistors to integrated circuits... The structure is gradually miniaturized, and the efficiency of exchanging energy for information is also becoming more and more important.

high.

However, this exchange has its limits after all.

The magic star machine chessboard seems to be close to this limit - even if there is no energy consumption, the output of pure information must be exchanged with a massive amount of energy, and even the unreasonable upper three realms cannot support it!

After all, for every additional bit, the amount of information increases tenfold, and the energy consumption also increases tenfold.

So moving up to the next level is a matter of one breath for Master Tian. Not only can one birdman not be able to hold up to this level, but two of them together are not enough.

Three, four, five...all the way up to nine. The promotion from true immortal to divine weapon is complete. The holes are torn open wider, and each chess piece is involved in more dimensions.

However, the size of the chessboard only increased from 24 to 26, and the number of chess pieces increased from 576 to 676, which was only 100 more pieces.

The two leading birdmen had gloomy expressions on their faces, and felt that they had lost all their dignity. They just asked for help, and with so many people on board, they were able to get it done...

The other great masters who didn't play didn't laugh at them. When they reached the upper three realms, they still had the same mentality as children. They were really living at a young age like a dog.

On the contrary, I am surprised and curious, why is it so difficult to upgrade this treasure?

It's just that in order for a true immortal to ascend to a divine weapon, nine people in the upper three realms need to join forces. To advance to the upper three realms, after six or nine heavenly tribulations, wouldn't it mean that everyone present would not be able to do enough, unless the Taoist Buddha comes in person?

I remember that this thing is basically based on the Vientiane Disk that lays out the seed battlefield, but even if it is the original Vientiane Disk, although it is difficult to upgrade, it will not require the Taoist Buddha to take action, right?

Looking at the expressions of the gods and powerful men, Ye Han rolled his eyes and briefly explained the law of information entropy.

It's not to relieve the embarrassment of the two birdmen and liven up the atmosphere. His emotional intelligence does not support this kind of operation.

It's just a good teacher.

Of course, the focus is not what the students understood, but what they themselves said - giving lectures to others is often a process of sorting out ideas and regurgitating knowledge.

This is the reason why Ye Han often opens his mouth and speaks regardless of whether others can understand or not.

As expected, he received a circle of blank looks, but the bigger gain was within himself.

The basic function of information is to eliminate the uncertainty of people's understanding of things. If you want to be sure, you have to take action, which will inevitably consume energy.

At this point, it is naturally consistent with the quantum uncertainty principle.

The average uncertainty of the information source is an output random quantity in information theory, so the uncertainty can be measured by probability distribution.

But in quantum computing, the output is all possibilities, and uncertainty cannot be counted using general probability distributions.

Shannon's continuous entropy formula cannot appear in infinite quantities. However, the expansion is greatly enhanced here, so the formula must be rewritten, which is further than Kulberg's information deterioration...

Although the correction is not complete yet, the trend has emerged.

Ye Han conjectured that when the exchange of energy and information approaches the limit, using the smallest amount of energy Planck's constant to exchange the smallest amount of information, the ratio is likely to be a fixed cosmological constant.

From this, it can be easily deduced that the number of qubits in series in an isolated system has an upper limit. If it exceeds this limit, just like a black hole will be formed if the mass exceeds the limit, a singularity will also occur if the data exceeds the limit.

And this upper bound is not very big. It may be a little more than 1,000, or it may be a little less than 1,000. In short, it is by no means infinite.

This can explain why it is so difficult to operate the power of the upper three realms.

It might even explain the existence of fiber arenas.

The universe is infinite, but a multiverse that exhausts all possibilities cannot exist. There must be a limit.

When they first entered the arena, the White Tiger System said that it was because the universe was too divided and the energy distribution was insufficient, so it was necessary to reduce the waste of fiber wars. It was as if the intensity of wars between all countries on the earth had been reduced because of nuclear deterrence, and because of carbon emissions.

Let's get started...

But the energy of the universe is not calculated this way, and it is fundamentally different from war on earth.

Because the energy of the multiverse - mainly spiritual energy here - is shared, there may not be a big difference between peaceful use and war use.

Because without war, the population would explode, which would lead to an increase in the consumption index. Just like in ancient times, when land was accompanied by population explosion, it was not necessarily peace that collapsed faster, or war.

On the contrary, through fiber competition, possibilities are redistributed, and the strong gain more, while the weak can only linger, or even collapse and perish... It is more reasonable and reasonable to reduce the total consumption of the universe and avoid the ending of everyone collapsing.

Maybe some people are wondering, isn't this the same thing? Anyway, some are retained and some eliminated.

Of course it's not the same thing!

Let’s compare it to environmental protection.

The environment must be protected!

There is absolutely nothing wrong with providing people with better air to breathe, more reliable food to eat, and more resources to utilize.

But some reasons are upright and can be stated, promoted, and widely publicized;

Some reasons are hidden dirty and even evil intentions, such as some invisible rights deprived by carbon emissions, such as a developed country wanting to use this to suppress a big country and maintain its No. 1 position in the world for a hundred years...

Therefore, the reasons stated may not be the real reasons; the things you do seem to be done by people, but the people who do them are not necessarily people.

Of course, everything is just a rational analysis, and there is no political stance. The conditions of the arena and environmental protection cannot be simply compared to competition between major powers...

Ye Han was explaining and thinking deeply. Suddenly, an inexplicable force surged towards him from all directions.

In a daze, he felt that he was looking higher and standing further, and his whole person seemed different from the inside out.

Ye Han looked strange, because he was not unfamiliar with this feeling...

Almost at the same time, the densely packed sky of immortal bosses also raised their heads in surprise and looked in all directions: "This is..."

Even Bai Hu, who should know the answer the most, has a little difficulty confirming the situation: [Well, that... I don’t know why, but you seem to be recognized by the world. 】

This is the "World Affinity" effect that Ye Han got in the second round of the game.

but……


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