Quantum systems are the border between reality and imagination.

"Researchers have unveiled a method for passing fragile quantum states between separate photon sources, a key function for future quantum networks. The result suggests that scalable, tamper-proof communication may be closer than expected. Credit: Shutterstock," (ScitechDaily,  Scientists Teleport Information Between Distant Photons for the First Time)

Researchers made the first long-distance quantum teleportation between two photons. In that type of communication, the system transmits wave movement between two photons. The system creates a channel between those photons, and then the wave movement transports information between them. This type of system provides a secure data transmission method between photons that oscillate at the same frequency. When the wave movement travels through that channel, it puts another photon into resonance. This is called superposition. And quantum entanglement. 

Before data transmission is possible, the system must synchronize those photons. Or, they must be put into superposition. And then. The system starts to transmit data. The biggest problem with long-distance quantum entanglement. And a long-distance quantum  data transmission. It is to keep the quantum channel between those photons open. If that quantum channel is closing. That causes resistance. That destroys data. The system transmits through that channel. This is the thing. That makes quantum networks safer.

One of the reasons that makes quantum teleportation and quantum systems hard to create is the error correlation. For successful error correlation, the system must find the error. And. Check the quantum computers' calculation can take thousands of years. Another thing. That makes quantum networks and quantum computers hard to make. It is: how to calculate quantum states. The quantum computer requires a quantum simulation. So that the system can prepare itself for quantum data transmission and quantum computing. 

When we think about complicated quantum algorithms and calculations. We must realize one thing. The problem can be effective. Or it can be non-effective or virtual. Even if we think that all quantum fields have an effect on quantum computers and quantum networks. The reality is that the field must have an energy level that is high enough. Or, the field’s state must be strong enough that it has an effect. All fields. It does not have a strong enough force. that they can affect the quantum networks. So the system must select only fields that have an effect. Another thing is that the form of the field must be right, so that it can resonate with the system. 

The simulator must know all values. That has an effect on the system. So that it can create a simulation.  The system uses those simulations to adjust the quantum system’s particle energy levels and interactions. Data can travel in quantum entanglement. Only from a higher-energy particle. To a lower energy particle. When those particles reach the same energy level that forms the quantum soliton, that destroys the quantum entanglement. The quantum soliton or standing wave causes energy reflection in the quantum wire, which transports information. 

"Researchers at Swinburne have developed a fast new way to check whether certain quantum computers, specifically Gaussian Boson Samplers, are actually producing the results they claim, without waiting millennia for a supercomputer to verify them. Their method can flag errors in minutes on an ordinary laptop, revealing unexpected noise in a recent experiment that would otherwise take 9,000 years to validate. Credit: Shutterstock." (ScitechDaily, If Quantum Computing Is Solving “Impossible” Questions, How Do We Know They’re Right?)

Quantum versions of derivative and integral calculus will be the holy grail for quantum technology. 

The ability to calculate quantum field interactions with particles. And backward, particle interactions with the quantum field would make it possible to create those quantum systems. The reason why. That is very hard to make. Is the energy lost in that interaction? The particle is not absolutely smooth. There are small hills and valleys. So, the field will be separated from the particle. And that means the oscillation will not transmit perfectly between fields and particles. 

We could compare those calculations.  A little bit with the derivative. And integral calculus functions. The integral function is the mathematical model. That is used to check integrals. The integral function is the formula that is the opposite of the derivative function. Or the way to calculate derivatives is backward. The problem with quantum calculations is that they are not basically mathematical or physical formulas. The physics formula describes particles as stable or static objects, or it describes objects as fields. 

The quantum formula introduces objects as the oscillating entireties called “quantum”. Sometimes the quantum calculations are described as systems that must introduce some kind of foam, which changes its state and form indefinitely. The system must take into account. Things like. The energy level and energy type of the system. The position and direction of the particle in the quantum field make the effect. The system must handle multiple variables, like the internal and external interactions. 

And this makes those algorithms very complicated. The biggest difference between quantum and regular systems is this: in regular systems, Data travels in wave movement. Wave motion can be described as a traveling field. In quantum systems, data is connected to physical particles. 

So, the quantum versions of derivative and integral formulas would be the holy grail for quantum technology. The system must calculate the interface between particles and fields around them. The system must notice things. Like natural. Or artifact quantum field interaction with the data transporters and receivers. Things like changes in quantum fields that things. Like, maybe gravitational waves and cosmic rays can affect quantum systems. 

https://scitechdaily.com/if-quantum-computing-is-solving-impossible-questions-how-do-we-know-theyre-right/

https://scitechdaily.com/scientists-teleport-information-between-distant-photons-for-the-first-time/

https://en.wikipedia.org/wiki/Soliton