Quantum computers: Meet my new computer. Different than the old computer…

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In theory, quantum computers can do anything that a classical computer can. In practice, however, the quantumness in a quantum computer makes it nearly impossible to efficiently run some of the most important classical algorithms.

The traditional grade-school method for multiplication requires n^2 steps, where n is the number of digits of the numbers you’re multiplying. For millennia, mathematicians believed there wasn’t a more efficient approach.

But in 1960 mathematician Anatoly Karatsuba found a faster way. His method involved splitting long numbers into shorter numbers. To multiply two eight-digit numbers, for example, you would first split each into two four-digit numbers, then split each of these into two-digit numbers. You then do some operations on all the two-digit numbers and reconstitute the results into a final product. For multiplication involving large numbers, the Karatsuba method takes far fewer steps than the grade-school method.

When a classical computer runs the Karatsuba method, it deletes information as it goes. For example, after it reconstitutes the two-digit numbers into four-digit numbers, it forgets the two-digit numbers. All it cares about is the four-digit numbers themselves. But quantum computers can’t shed (forget) information.

Quantum computers perform calculations by manipulating “qubits” which are entangled with one another. This entanglement is what gives quantum computers their massive power, but it is the same property that makes (made) it impossible for them to run some algorithms which classical computers can execute with ease. It was only until some years ago that Craig Gidney, a software engineer at Google AI Quantum in Santa Barbara, California, described a quantum version of the Karatsuba algorithm. (1)

Think. Forget. Move on. Think again…

Know everything.

And you will need to forget.

Forget so that you can learn.

So that you know it all.

The path to light, passes through alleys of darkness.

And trusting the light can only lead to darkness, when the Sun sets down.

You need the Moon.

For it is only there, that you can see your eyes reflected…

Upon the silvery calm lake…

Sun breathing fire.

Light reflected on the Moon…

Cold light reflected on water…

Light passing through your eyes.

In the dead of the night,

You realize that you knew the Sun.

Stand still enough…

And you will listen to the cosmos being born…

Author: skakos

Spiros Kakos (or Spyros Kakos or Spyridon Kakos) [Σπύρος Κάκος] is a thinker located in Athens, Greece. He has been the Chief Editor of Harmonia Philosophica since its inception. Spiros has a diploma in Chemical Engineering, an MSc in Advanced Materials' Technology, an MBA in Decisions' Science, a phD in the use of conductive polymers in PCB industry and is still learning. He also worked as a technical advisor and a researcher in the Advanced Materials sector for many years in the past. In his free time he develops software solutions and contributes to the open source community. He is the creator of Huo Chess, one of the smallest micro-chess programs ever that is perfect for educational purposes. He believes that science and religion are two sides of the same coin and is profoundly interested in Religion and Science philosophy, as well as the philosophy of the irrational. His philosophical work is mainly concentrated on an effort to free thinking of "logic" and reconcile all philosophical opinions under the umbrella of the "One" that Parmenides - one of the first thinkers - visualized. Since our thought is dictated by our assumptions, the only way to free it and know cosmos as it is, is to think irrationally and destroy everything we have built. The "Harmonia Philosophica" articles program is the tool that will accomplish that. Life's purpose is to be defeated by greater things. And the most important things in life are illogical. We must fight the dogmatic belief in "logic" if we are to stay humans. We should stop thinking in order to think. Credo quia absurdum! View all posts by skakos