We have talked about quantum concepts and its applications in our previous post. Here we will be talking about applications enablement through quantum procedures, also known as quantum algorithms. We are going to write here about the workings of quantum. In computer programming, an algorithm is a set of well-defined instructions to solve a particular problem. It takes a set of input and produces a desired output. Quantum algorithms are a specific procedure for solving computational problems. These are different from protocols because they are a set of standard rules that allow multiple devices to communicate. The advantages of an effective quantum algorithm are as follows:
- Accuracy – solve a problem correctly
- Efficiency – solve a problem as fast as possible
Clearly the primary concern for quantum algorithms is its speed of execution. While it is important to solve every problem correctly, the long pole for the quantum algorithm is its efficiency. There is a well defined metric to measure the efficiency of the particular algorithm and it’s called Big-O-Notation. Big-O-Notation is a mathematical notation of the worst case performance of the algorithm relative to the input size (n). It is fundamentally different from runtime complexities because that later is inherently tied to hardware performance.
Using the above criteria, algorithm efficiency is represented in Big-O-Notation in the form of O(f(n)). Here O stands for Order and f(n) is a function of “n” to determine the number of operations that can be done as the input size fluctuates. Figure 1 lists some common functions of input size represented in Big-O Notation.
The main goal of quantum algorithms designers is to create algorithms that can perform any computation exponentially more efficiently on quantum computers than on conventional computers. This can be done by exploiting quantum properties such as superposition, quantum entanglement and many more. Unsurprisingly, some of the quantum algorithms have already achieved this goal. Some of the example of quantum algorithms is as follows:
- The Deutsch Jozsa algorithm is a good example. It is the first algorithm that shows the separation between the quantum and classical difficulty of a problem. This algorithm demonstrates the significance of allowing quantum amplitudes to take both positive and negative values, as opposed to classical probabilities that are always non-negative
- Shor’s algorithm is used for factoring integers in polynomial time. The computing ability of quantum computers could factor complex RSA encryption thereby undermining the global financial system. Shor’s Algorithm gave credence to the fact that quantum computers could have unforeseen economic impact
- Grover’s algorithm is another complex implementation that enables searching of an unordered list in a square root n time. Every element is scanned in an unordered list and a quantum computer could achieve this in a function order of square root
Many algorithms have been developed using quantum concepts, but not all can comply with the requirements of accuracy and efficiency – the two pillars of quantum algorithms. Therefore, not every quantum algorithm is better than classical algorithms. So, a novel approach is to devise hybrid algorithms to take advantage of the best of both worlds of classical and quantum computing. Hybrid algorithms apply concepts of both quantum and classical computing to perform higher computations and obtain better results than on one or the other. It is assumed that hybrid algorithms will become more prevalent in future as they prudently employ both quantum and classical computational power.
We will write on hybrid algorithms soon.
OvoMSdJEkgyKR
Having read this I thought it was very informative. I appreciate you taking the time and effort to put this article together. I once again find myself spending way to much time both reading and commenting. But so what, it was still worth it!
Great write-up, I am normal visitor of one’s website, maintain up the nice operate, and It is going to be a regular visitor for a long time.
Rattling informative and great complex body part of content material, now that’s user genial (:.
You made a few nice points there. I did a search on the theme and found most people will go along with with your blog.
Right here is the perfect website for anybody who would like
to find out about this topic. You understand so much its almost tough to argue with you (not that I
personally will need to…HaHa). You definitely put a brand new spin on a topic that has been discussed for a long time.
Excellent stuff, just wonderful!
I really enjoy looking at on this website, it has great articles. “Don’t put too fine a point to your wit for fear it should get blunted.” by Miguel de Cervantes.
Hello.This post was extremely remarkable, especially since I was browsing for thoughts on this issue last Friday.
whoah this blog is wonderful i love reading your posts. Keep up the great work! You know, lots of people are hunting around for this information, you can aid them greatly.
Greetings! I know this is kind of off topic but I was wondering if you knew where I could locate a captcha plugin for my comment form? I’m using the same blog platform as yours and I’m having trouble finding one? Thanks a lot!