A new quantum computer solves a math problem in 15 minutes. That binary computers can never solve.

“Scientists used a new error correction method to encode 70 logical qubits and solve a problem that is intractable for classical computers. The quantum computation took about 15 minutes, while leading classical methods would require an impractical amount of time. Credit: Shutterstock” (ScitechDaily, Quantum Computer Solves a Problem in 15 Minutes That Classical Methods Can’t Practically Compute)

“Researchers have demonstrated a quantum computation that appears to exceed the practical capabilities of leading classical simulation methods while also addressing a longstanding problem: how to verify the result.”(ScitechDaily, Quantum Computer Solves a Problem in 15 Minutes That Classical Methods Can’t Practically Compute)

A quantum computer completed a difficult calculation in about 15 minutes, while leading classical simulation methods would require prohibitive amounts of time. Just as importantly, the experiment included a way to establish confidence that the quantum result was accurate.”(ScitechDaily, Quantum Computer Solves a Problem in 15 Minutes That Classical Methods Can’t Practically Compute)

“The system completed 2,415 logical two-qubit operations and 468 logical “T gates,” two measures of quantum circuit complexity. Encoding the circuit reduced the effective logical error rate to one tenth of the physical error rate, allowing the computation to maintain high fidelity despite the large number of operations.”(ScitechDaily, Quantum Computer Solves a Problem in 15 Minutes That Classical Methods Can’t Practically Compute)

"Common quantum logic gates by name (including abbreviation), circuit form(s) and the corresponding unitary matrices". (Wikipedia, Quantum logic gate)

There are two major problems in quantum computers. First is that. Nothing that another quantum computer can check or inspect the result. The other problem is. How to make sure a quantum computer gets the right answer. This means. The quantum computer may make many errors in the process. From the beginning of the formula. To the complete answer. The danger is that the system can get the right answer. But using the wrong methods. The danger is that. The control formula is made using binary computers. It can give the right answer. Or an answer that seems right. 

Even if a quantum computer makes mistakes. And. If a quantum computer works incorrectly. That can cause errors in extremely long calculations. That take years. If. A computer solves a problem in one year. Inspection takes another year. So, making an answer and proving it takes two years. And this is one problem. 

“Random circuit sampling (RCS) has long served as a benchmark for testing whether quantum computers can outperform classical systems. In this task, a quantum computer produces patterns so complicated that classical computers cannot efficiently recreate them.” (ScitechDaily, Quantum Computer Solves a Problem in 15 Minutes That Classical Methods Can’t Practically Compute)

A quantum computer solved a mathematical problem. That was impossible for binary computers in 15 minutes. This means that there are limits to quantum and binary systems. The binary system is faster and better. When. Calculations are easy and small. But when complexity in calculations grows. That turns. Quantum computers. More suitable. The big problem is how to detect errors in quantum systems. The only thing that can inspect calculations that are too complex for binary systems is another quantum computer. 

When a quantum computer inspects and tries to detect errors. 

This system calculates all calculations backward. That means that getting the answer takes 15 minutes. And confirming that answer takes another 15 minutes. This looks impressive. But there are many problems. The biggest problem is that the quantum computer. It follows similar laws as other computers.

Increasing calculation capacity. It provides resources for more complex simulations and modelling. So, researchers bring more complicated formulas to computers. Increasing computing power. That increases the complexity of formulas. 

When researchers want to make a simulation. To simulate gas flow. They search for what that gas flow does. And then they try to make a fractal that follows those routes. The same way. It is possible to create material simulations at the quantum level. This thing. It makes it possible. To create very high-accuracy simulations. Those simulations are needed to control those materials with extreme accuracy. 

https://postquantum.com/quantum-computing/rcs-benchmark/

https://scitechdaily.com/quantum-computer-solves-a-problem-in-15-minutes-that-classical-methods-cant-practically-compute/

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

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

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