Sunday, 30 March 2014


                                                             Quantum Computing




It all began in 1981 with Richard P. Feynman quoting “ Can we simulate physics on a computer?” Well, though quite intriguing but answer to that question as of right now is obviously no and the only reason for that is a significant part of physics is Quantum physics which can’t be simulated on the computers present today, ie, the classical computers.

Lets see why. Say we have a system comprising of 30 particles. Now in Quantum physics we have variables to define a state of a particle. Consider that two variables are associated with a particle then , corresponding to 30 particles we’ll have 230 variables . That amount of data can be stored with present computers. But what if number of particles go beyond say 100. Correspondingly we’ll have 2100 variables. Now this can’t be simulated on a classical computer , since they don’t have this much memory and they never will !

Feynman suggested “ One can turn problem into an effect “. If Quantum physics is too rough for present computers may be we can use it to build better computers!

Lets see a computing perspective.

One person who has been looking at the miniaturization of computers is Gordon Moore, also the co-founder of intel back in 1960’s. He predicted that number of components on a chip doubles every 18 months to two years. Therefore, the smallest feature size on the Si chip has to decrease at the same rate. Hence, the Moore’s law. What’s amazing about Moore’s law is that you can predict what’s going to happen in time. Now, If we follow this law , less than 10 years from now, ie, as we approach 2020 , the size of transistor will reduce to the size of an atom- the smallest component of nature. Thereby , here we enter the Quantum realm.

Hence either way Quantum computing is inevitable future of computing.
A quantum Computer computes according to the Quantum mechanics. It encodes information into quantum particles, manipulates them and computes by measuring their resultant state probability.

Instead of bits we use Quantum bits(also known as Qubits) in a quantum computer. Qubits are basically two

 state quantum systems. For example say I’ve a Hydrogen atom and given that its electron can be in either Ground state or first excited state or any superposition of two. This represents a qubit. Other examples of qubits are Atomic Orbitals, Polarized photons and Electronic spins.

Other two important principles governing the working of a quantum computer are :
Quantum Parallelism and Quantum Interference. Quantum parallelism is used to perform computations at the same time and Quantum Interference is used to combine results into one.

Applications

There are some problems out there that just can’t be solved using our classical computers.
For example , lets take a very prominent classroom problem, Traveling Salesman problem.
Now problem is : A salesman has to travel many cities and workout  short test possible route  such that he makes back home in shortest time.

As the number of cities increase , the number of routes increase exponentially. Say for 14 cities the number of routes reach 1011. For a classical 1GHz computer (109 operations per second) , it will take 100 secs. But for 22 cities, 1019 routes , it’ll take 1600 years! And  for 28 cities , the time span is even longer than the lifetime of the universe!

The Quantum computers power rises exponentially every time we increase the qubit count . For 30 Qubits, it would be more powerful than a super computer and for 300 Qubits , It would be more powerful than all the computers of the world connected together. Just imagine 300 Qubits vs 3 billion transistors which are present on a Si chip today. That’s the power of Quantum computation.

Other Applications includes :
- Faster Code Breaking
-Useful to Scientists for Virtual experiments
-Problems with enormous amount of data and calculations like space problems.
- Cryptography

Another common Application is that say we have 1 billion numbers and we need to find two equal numbers among them (Say searching a name corresponding to a number in a phonebook). A normal Computer will take so many steps while a Quantum Computer will be able to solve that problem very quickly.

Limitations

Though University of Innsbruck , Austria claims to have built a prototype of Quantum Computer named as Ion Trap. It works on 14 ions . But then again its a big challenge to scale up the technology from just 14 ions to thousands of particles. And that controlling that every single particle with very high precision.

A quantum computer can only function if the information exists for long enough to be processed. The so-called coherence of the qubit ensures that the quantum information remains intact. The researchers have now discovered that the coherence spontaneously disappears over the course of time and with this the stored information as well. This could pose a considerable problem for the development of a quantum computer.

A quantum computer makes use of the fact that a quantum mechanical system -an electron, an atom or even a larger system such as a superconducting quantum bit - can simultaneously exist in two states. Normally one of the two states disappears as soon as the system comes into contact with the outside world. The coherence then disappears as a result of the decoherence process and the information in a quantum bit is lost.

Wednesday, 7 August 2013

Quantum field theory and its relation to Psychology

Hi, 
      going through some of the research papers and some more information on psychology i found something that's worth sharing with you all considering the fact the it might be an important link towards the theory of everything.
It's widely accepted that consciousness or, more generally the mental activity is in some way correlated to the behavior of the material brain. Since quantum theory is the most fundamental theory of matter currently available, it is a legitimate question to ask whether quantum theory can help us understand the consciousness?


The problem of how mind and matter are correlated to each other has many facets,and it can be approached from different starting points. Of course, historically the leading disciplines in this respect are philosophy and psychology,which were later joined by behavioral science, cognitive science and neuroscience.

Brain is one of the most complex systems we know.
As regards to quantum physics, there can be no reasonable doubt that quantum events occur and are as efficacious in the brain as elsewhere in the material world. But whether these events are relevant for those aspects of brain activity that are correlated with mental activity, is still a very important question of research.


The original motivation ,in the early 20th century, for relating quantum theory to consciousness was essentially philosophical. It is possible that conscious free decisions,ie , free will , are problematic in a perfectly deterministic world , so quantum randomness might open up novel possibilities  for free will!

Firstly, lets discuss some basic principles of  Quantum physics.
The fundamentals of Quantum theory were discovered independently by Werner Heisenberg and Erwin Schrodinger in response to puzzling experimental evidence that contradicted the fundamental concepts of classical physics.For example, electrons were found to exhibit the properties of waves.
Conversely, light (which was previously thought of just as a wave) was found to exhibit particle nature. This confusion of classical distinctions between particles and waves was resolved by Niels Bohr's principle of complimentarity , according to which the wave and particle concepts are understood to be mutually exclusive but both are necessary for the complete description of quantum phenomenon.
A consequence of this wave particle duality is that all matter ,including everyone of us , has a wave aspect associated with the particle aspect. Another consequence of this theory is corresponding duality between the unobserved and the observed.

A deeper understanding of these subtle issues requires some basic understanding of the way quantum physics describes phenomenon.
According to the quantum theory, the state of an unobserved quantum of matter or light is represented by a solution to Schrodinger's wave equation. This solution is a quantum wave function Y(x) whose intensity  |Y(x)| at any particular position x represents the probability of observing the quantum at that position.
When quantum is unobserved, it is a non local wave of probable positions ; and when quantum is observed, it is a particle having definite localized position. Hence both particle and wave concepts are termed as complimentary because both are needed to characterize the observed and unobserved aspects of any quantum.

Now , moving on , lets discuss some basics of psychology or more specifically Jungian psychology.
The notion of psychological unconscious was first extensively developed in Freud's 'The Interpretation of Dreams' and further developed in his 3 essays on the Theory of Sexuality, published in 1905. In addition to the contents of out conscious awareness,Freud considered psyche to also contain an unconscious region whose contents are hidden and cannot be directly observed. These unconscious events, according to Freud, consist of previously conscious events that have been repressed and forgotten. The unconscious is thus a kind of 'Skeleton Closet' containing personal psychic contents that were conscious in the past but then hidden away.
After studying Freud, Carl Jung deepened and expanded Freud's notion of the unconscious, most notably in his 'Psychology Of The Unconscious' in 1912. According to Jung, the unconscious contains, in addition to repressed personal contents, a deep and vast region of collective psychic contents called the collective unconscious. In contrast to the personal unconscious contents that were previously conscious, the collective unconscious contents are not derived from previously conscious personal contents. Instead collective contents are innate and universal. The collective unconscious is common to all individuals, it is objective in the sense that all individuals share these same deep psychic structures. Between personal and collective regions of the psyche there are various intermediate levels of depth,each having its share of universality and particularity.

Having discussed these two seemingly distinct concepts, its very interesting that there is a strong correlation among them.
Quantum physics is feeling its way into the unknown side of matter , just as complex psychology is pushing forward into the unknown side of psyche. Both have developed concepts which display remarkable analogies.
Progress in the conceptual understanding of nature was accomplished using the principle of complimentarity, which states that mutually exclusive sets of concepts must be used to completely explain quantum phenomenon. Bohr's this idea is very interesting to psychologists, especially Jung.
He saw that the relationship between the conscious and the unconscious mind also forms a complimentary pair of opposites.
Therefore wave-particle duality in quantum physics parallels the unconscious-conscious complimentarity in psychology. 
As the wave is the observed aspect of the quantum and the particle is the unobserved aspect, So the unconscious is the unobserved aspect of psyche and the conscious the observed aspect.
Equivalent to a wave, the area of the unconscious is enormous and always continuous, while the area of consciousness is a restricted field of momentary vision.
As stated earlier , the quantum wave function represents probabilities, similarly archetypal structures of the unconscious represent fundamental potentialities of psychic manifestation, while the conscious contents are the actualization of these potentialities.
The common background of quantum physics and psychology is as much physical as psychic. Any attempt to determine the nature of the unconscious state runs up against the same difficulties as atomic physics : the very act of observation alters the object observed.  

There's much more analogy. Much more to discuss the wonders of quantum theory in psychology. We , as of right now, don't know what lies ahead of us! Due to so many analogies ,the possibility can't be ignored that these two fields might merge. You never know!!
For now its a keen area of research  and definitely with a bright future.
No wonder its awesomeness is ineffable!!
Good day..

Tuesday, 4 December 2012

                                              AND IT BEGINS...




 Hey guys,
                what upp!! Its Satish this side.Obviously I'll be a complete stranger to many of you. So let me begin with a brief introduction about  myself.Well, from the holy city of Amritsar, I'm just another one of the infinite students of engineering in India and to be more specific a BE student of Computer Sciences,Thapar University,Patiala.
Since last 2-3 years I've been aiming to write a blog but never had much content and time but now after having gone through some scenarios of life, some failures and successes, i think its the right time to start sharing some very basic things about how this universe works,seeking some logical explanation of very important mysteries of this world ,
talking about some common misconceptions prevalent in our great Indian society and of course our great education system!
There exist many arenas in our lives where we are exhibiting sheer illogical and stupid behavior,even knowing the right thing we are choosing what we "think" freaking society wants!!
For an Instance ,If I ask any random guy in my own college that if he/she really wanted to be an engineer ,there's more than 60% of the probability that it would be a no.
Technically that means every 3 persons out of 5 have been "misplaced" in our society! And those who are in right streams are as if in very able hands!! We all are very well aware of these situations and yet we least bother to give a damn. Why is it so?!
One another thing that I've realized while teaching physics at an institute is that children here do have interest but again that's never given the pump that's required ,never appreciated for their logic but just for marks  and hence undoubtedly therefore we all follow the well trodden paths of marks.
I'm no good orator or writer to criticize anyone,neither I'm that good for a social work but just here to remind ye all what u already know but mostly chose to ignore.Yet again y?
There are many questions like these that we prefer not to get involved with,most flamboyant being that of politics and den sitting on couch in the evening sipping tea we blame our country ,our society,our politicians blah blah..!! What we don't realize is that we are blaming ourselves!! See how intelligent we all are!! We are a problem,we are critics and we ourselves are the audience! I don't understand what are we waiting for!!
We all prepare speeches for schools ,colleges,rallies on the degradation of blah blah..and then we all go home and again become those lame "blamers". I right now cant figure myself if I'm really talking this shit and putting myself in that category!!
You see irony is that we all want facilities like the west here,but we are not ready ourselves to do anything!
We all want our home cleaned but we are not ready to clean it!!! See how amazingly smart we are!!!
This is an endless debate.
All that's required right now is that to bring out the able leaders from ourselves only.
Just Introspect yourself .The required leaders are nowhere else but inside many of us just too afraid and too lazy to come out and act!
We all are designed for some specific jobs which we are good at.Come on! seek what you actually want.
Where you actually want to see yourself . Don't listen to anyone.Of course I can quote many people here but true inspiration comes from inside only.Still I'm attaching a link.
So Just follow your heart."ITS ONE LIFE ,MAKE IT LARGE."
THINK....
"Do not follow where the path may lead.
Go instead where there is no path and leave a trail.
Harold R. McAlindon"

" http://www.youtube.com/watch?v=UF8uR6Z6KLc"