Understanding Entanglement and Parallel Computing in Quantum Computing

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SUMMARY

Entanglement is a fundamental concept in quantum computing that allows qubits to be correlated in such a way that the state of one qubit can provide information about another, even when they are separated. This property enables parallel computing by allowing quantum algorithms to process multiple possibilities simultaneously. Observing a qubit does collapse its wave function, but entangled qubits can still facilitate complex calculations, such as integer factorization, through quantum superposition and interference. The setup of a quantum computer for tasks like integer factorization involves initializing qubits in specific wave functions and applying quantum gates to manipulate their states.

PREREQUISITES
  • Understanding of quantum bits (qubits) and their properties
  • Familiarity with quantum entanglement and superposition
  • Knowledge of quantum gates and their functions
  • Basic concepts of quantum algorithms, particularly Shor's algorithm for integer factorization
NEXT STEPS
  • Study quantum entanglement in detail, focusing on its implications for quantum computing
  • Learn about quantum superposition and how it enables parallel processing
  • Explore quantum gates and their role in manipulating qubit states
  • Research Shor's algorithm and its application in integer factorization
USEFUL FOR

Quantum computing enthusiasts, researchers in quantum mechanics, and software developers interested in quantum algorithms will benefit from this discussion.

KrevinL
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I'm a bit confused about entanglement with regards to quantum computing. I'm not an expert by any means, but I've been reading around about quantum computing and was confused about something.

I've read that, you can't directly observe a qubit, because if you do the wave function will collapse and it will be no better than a classical bit, so experimenters are using entanglement to get information about other qubits, enabling them to do parallel computing on a single qubit. However I'm failing to see how a qubit can still perform parallel computing, if once one qubits state is observed, both entangled qubits wave functions collapse. So I'm thinking that entanglement just gets you 2 classical bits, with the effort of only measuring one.

Can anyone tell me how this enables parallel computing within a single qubit?
 
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Also, how is a quantum computer set up to perform a calculation like integer factorization? I think it has something to do with initializing a qubit with some wave function, but I'm not sure how this end up calculating anything.
 

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