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Is a classical computer is required in order to use a quantum computer?
Quantum physics has defied logic since the atom was first studied in the early 20th century. It turns out atoms do not follow the traditional rules of physics. Classical computers manipulate ones and zeroes to crunch through operations, but quantum computers use quantum bits or qubits.
Why do we need complex numbers in quantum mechanics?
It is particularly helpful to use complex numbers to model periodic phenomena, especially to operate with phase differences. Mathematically, one can treat a physical quantity as being complex, but address physical meaning only to its real part.
What is a classical computer?
Classical computing is another name for binary computing. In this traditional approach to computing, information is stored in bits that are represented logically by either a 0 (off) or a 1 (on). A classical bit is either on or off, but a qubit can be on and off at the same time, a condition known as superposition.
Do complex numbers exist?
While it is not a real number — that is, it cannot be quantified on the number line — imaginary numbers are “real” in the sense that they exist and are used in math. Imaginary numbers, also called complex numbers, are used in real-life applications, such as electricity, as well as quadratic equations.
Why do we need complex numbers?
Complex numbers can be used to solve quadratics for zeroes. If the formula provides a negative in the square root, complex numbers can be used to simplify the zero. Complex numbers are used in electronics and electromagnetism.
Which is better a classical computer or a supercomputer?
A contemporary IBM supercomputer allegedly has 200 petaflops of performance. If we let one FLOP (floating-point operation) equal one MAC (multiply/accumulate) operation then the IBM classical computer can do 200*10^15 MACS/sec * 10^-6 sec = 200*10^9 MACs in one quantum computer gate time.
How does a quantum computer compare to a supercomputer?
So, equating the quantum computer to the IBM supercomputer’s performance (for one quantum gate time): 2^2n = 200*10^9 or n = 18.7 qubits (19 qubits) in order for a quantum computer to match the MAC performance of an IBM 200 petaflop supercomputer.
How many petaflops does a supercomputer have?
This is equivalent to a 2^n by 2^n matrix multiplied with the 2^n current state vector. This is 2^n * 2^n = 2^2n multiply/accumulate (MAC) operations in one microsecond. A contemporary IBM supercomputer allegedly has 200 petaflops of performance.