the fastest polynomial time quantum algorithm

Shor's algorithm is the fastest polynomial time quantum algorithm.

just a factoring algorithm

Shor's algorithm is just a factoring algorithm, just a factoring algorithm isn't like factoring numbers is the only thing that quantum computers can do.

the most talked-about quantum computer algorithm

But perhaps the most talked-about quantum computer algorithm is something called Shor’s algorithm, which could change the way almost all our data in encrypted.

a routine called Shor’s algorithm

IT MIGHT seem like an esoteric achievement of interest to only a handful of computer scientists, but the advent of quantum computers that can run a routine called Shor’s algorithm could have profound consequences.

the primary quantum algorithm to bring in an pastime in quantum computing

On the different aspect, Shor’s Algorithm is in basic terms the primary quantum algorithm to bring in an pastime in quantum computing.

a specifically developed quantum algorithm to find all the prime factors

Shor’s algorithm is a specifically developed quantum algorithm to find all the prime factors.

an algorithm for integer factorization

And this computer can not run Shor’s algorithm (an algorithm for integer factorization) as well as other important algorithms.

just one of the most sophisticated quantum algorithms regarding the range of quantum bits and gates needed

Actually, Shor’s algorithm is just one of the most sophisticated quantum algorithms regarding the range of quantum bits and gates needed, and gates is projected that gates ’ll be a couple of decades until any significant factorization is going to be performed.

Another quantum computer algorithm , known as Shor’s algorithm,

Another quantum computer algorithm, known as Shor’s algorithm, can break current digital signature cryptography schemes and is more critical to the blockchains depending on RSA and ECDSA cryptography.

a routine called Shor's algorithm, a development that could have a profound impact on cryptography and how we protect our banking, business, and e-commerce data

Two research groups, one from the University of Queensland in Brisbane, Australia, and the other from the University of Science and Technology of China, in Hefei, say they have successfully created quantum computers that can run a routine called Shor's algorithm, a development that could have a profound impact on cryptography and how we protect our banking, business, and e-commerce data.

quantum algorithm for cryptanalysis of RSA

It has been considered that the Shor’s algorithm could be viewed as the unique and powerful quantum algorithm for cryptanalysis of RSA (widely used in e-government and e-commerce) while various media and researchers have pointed out that RSA would been as soon collapsed as the emergence of universal quantum computers.

On the different aspect in basic terms

On the different aspect, Shor’s Algorithm is in basic terms the primary quantum algorithm to bring in an pastime in quantum computing.

quantum phase estimation algorithm in disguise

Note: Another way to explain Shor's algorithm is by noting that Shor's algorithm is just the quantum phase estimation algorithm in disguise.

provides exponential speedup

Shor's algorithm: provides exponential speedup (relative to currently known non-quantum algorithms) for factoring a number

the quantum properties of matter

Shor's algorithm uses the quantum properties of matter and can be used by quantum computers.

in succession with the output from each run forming the input to the next

Shor’s algorithm is run several times in succession, with the output from each run forming the input to the next.

an application that captures the imagination

Shor's algorithm's an application that captures the imagination.

just: superposition, modular exponentiation (the slowest step), and a fourier transform

Basically Shor's algorithm's just: superposition, modular exponentiation (the slowest step), and a fourier transform.

violate RSA cryptography

Shor’s algorithm is a great example that’s utilized to violate RSA cryptography.

to know the base and the modulus of exponentiation at every call

Furthermore, in Shor's algorithm Shor's algorithm is possible to know the base and the modulus of exponentiation at every call, which enables various circuit optimizations.