Mathematics are limited to the measurement of limited things but whenever we talk about infinite universe or invisible things there are no solution in form of mathematical equation. The quantum mechanics or quantum computing could also not express or explained in terms of mathematics.
let me put it this way... Mathematics, like the Universe itself , is infinite in its scope and content, what you mention is about the application of the current knowledge of mathematics to answer all questions that we can think about the nature and its workings, as our knowledge updates, so is our creativity in formulating new mathematical structures which, at least in part, can answer those unsolved problems of the day.
secondly, quantum mechanics is based on well defined mathematical constructs, wave mechanics formulation by Schrodinger, Matrix mechanics formulation by Born and Heisenberg and the Transformation theory by Paul Dirac, Quantum computing is application of Quantum logic to solving Computational problems, more efficiently as compared to classical computation algorithms, In my Opinion, Quantum mechanics is complete as it goes, but not the entire story, a more advanced form of mathematics is needed to supplement it , lot of researchers around the world are currently working on this problem .
Dear Debopam ,
Quantum computing means not based on computational algorithm . Quantum computing means here that computing that could not calculate
in time like when a person see a familiar person among millions person he /she does not take time to recognize a person without any calculation. Although calculation takes place but it is so much fast that could not be measured by any tool or equation based on mathematics .
when a person sees a familiar person in a significantly large crowd and recognizes him/her, the process is not instantaneous and neither it is not involving any calculation, it is a very interesting subject indeed and i sincerely suggest you look into the subject of Pattern Recognition and Neural networks for the answers to your questions, the point being the computational task involved in recognizing a person in a large crowd and quickly imply fast processing of the visual data by brain through the interconnected network of neurons and recognition occurs by matching of data features with stored data in memory, which is sometimes also called the training data set.
Dear Debopam ,
I am agree with you that for recognition ,pattern matching , neural network , visual processor and permanent memory are required . But all the process complete so fast without taking time . But their are sorting required for pattern matching and signals those generated by retina are processed by the visual processor and again addressing and searching required from the permanent memory .
Quantum computing solve many problem but not every one.
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