Quantum Computing

What is quantum computing?

wikipedia:the use of quantum-mechenical phenomena to perform computation

Some quantum mechanical phenomena

superposition

entanglement

Development

Early 1980s Paul Benioff proposed a quantum mechanical model of the Turing machine
1994 Peter Shor invented Shor's algorithm.
2019 Google and Nasa claimed to have acheived quantum supremacy.

quantum supremacy:a quantum computer solves a problem that classical computers cannot.

Aren't classical computers good enough?

?

Quantum computers are fast!

(on solving particular problems)

classical quantum
factoring integers exponential time polynomial time
finding data in a dataset O(N)

O(\(\sqrt N \))

Shor's alogorithm

Why do we still use RSA?

The largest number factored by Shor's algorithm?

21 = 3 \(\times\) 7

about 1000000000 bits

53 qbits

Pros and Cons

Advantages:

1. Speed up calculation in particular problems

2. Reduces power consumption.

 

Disadvantages:

1. It makes some encryption not as safe.

2. It is not as stable as classical computers.

Conclusion

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By Zi-Hong Xiao

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