Superposition in quantum computing

noman3k3
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What of importance of superposition in quantum computing?

What I understood is we have two states |0> and |1> which represent logical 0 and 1 . So the mixed state can be given by the combination of logical operators like OR, AND and NOR Etc. For example

1/3 |0>+2/3 |1>

The particle could be in either of the two states. Each time when you measure the particle it is found in one of the state. The probability of falling in one state or another state is somehow written in superposition.

Is it correct? What is the exact explanation?
 
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Yes, your understanding is correct. Superposition is an important concept in quantum computing because it allows a qubit (the quantum equivalent of a classical bit) to represent multiple values simultaneously. This means that a single qubit can store multiple bits of information, which gives quantum computers a significant advantage over classical computers. By using the principles of superposition and entanglement, quantum computers can perform calculations much more quickly than classical computers. Superposition essentially allows for multiple pieces of information to be stored and manipulated at the same time, which is how quantum computers are able to increase computing speed.
 
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If we release an electron around a positively charged sphere, the initial state of electron is a linear combination of Hydrogen-like states. According to quantum mechanics, evolution of time would not change this initial state because the potential is time independent. However, classically we expect the electron to collide with the sphere. So, it seems that the quantum and classics predict different behaviours!
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