Quantum States Part 1.

In the last post we had the basic introduction to quantum computing and the need of it ,But to develop quantum algorithms and logic one must have the all knowledge of the quantum states of sub atomic particles , because quantum computing is the integration of particle physics and computing (as said by Richard Feynman ) Before going to the actual states we need to understand the energy fundamentals associated with the subatomic particles (how they act so weird).
Before 19th century people used to believe that energy is continuous in nature but in 19th century MAX PLANK proved that energy always present in discreet packets called quanta . this is really important because if we think that energy is continuous we can cut it in piece of value that we want and the absoluteness of the electron or photon would had no significance and there wouldn’t be any need for studying photoelectric effect or Compton effect. In other words I would be saying ‘I want to buy 1.5 shirt or 2.74569 laptops ‘ .
PlANKS CONSTANT:
h =6.626*10^-34 j.s (note that energu is always multiplied by seconds in this constat)
but after some advance research it has found that whenever we use the planks constant in equation we divide it by 2π . It is all related to the angular motion which electronics possess .
so the new value of planks constant is h1=h/ 2π.
Which is 1.05456*10^-34.
Quantum States are basically the positions possessed by the subatomic particles at certain event ‘t’. As per the uncertainty principle its impossible to determine the position and momentum of the electron simultaneously , since the phenomenon is equivocal ,but we can define the state by putting them in a mathematical tool called as KET , KET is a collection of the no of states of subatomic particles, for an example we will take a hydrogen atom , in which I,j,k variables describes the state of the electron it may be a pure state or it may be mixed , but one important thing about these states are they always been calculated as the probability function because practically its almost impossible to locate or track the exact position of electron they may be present at two different places at same time , for example if ask you that whats the probability of you going Jupiter with no time ? you may call me insane for asking this stupid question but there is a valid number it may ->0 but still there is a probability . It may make you to think about parallel universe and STRING THEORY , MEMBERANE THEORY etc.
So the states are subdivided into two groups
1) Pure State.
2) Mixed States.
Pure states are extreme pure a positive spin ,negative spin or a superposition
While a mixed statistical state is mixture of two pure its complex and depends on probability function of two different pure states
As the states are need to explained by formulating them in actual KET we will discuss the later part in the next article .