The Deutsch-Jozsa Algorithm: An Exponential Leap in Quantum Problem Solving
What if you wanted to scale up the problem from Deutsch's algorithm?
What if you wanted to scale up the problem from Deutsch's algorithm?
In this Quantum Computing: From Concepts to Code's chapter, we'll solve a new type of promise problem using a circuit that looks exactly like the one we used for the Deutsch-Jozsa algorithm.
Imagine a bizarre promise oracle that contains a secret bitstring, $s$, of length $n$.
In classical programming, the first program many of us learn is 'Hello, World!
A single qubit, like a single bit, can't accomplish much on its own.
When we assemble multiple qubits into a single system, they often form a special relationship called entanglement.
In classical computing, the outcome of any program is entirely predictable.
In quantum teleportation, the goal is not to move matter, but to instantly transfer the quantum state of one qubit to another, seemingly over any distance.
At its heart, a qubit is not just a 0 or a 1.
Just as the classical computer is built on the bit, the core of quantum programming is the qubit.
A quantum computer is a linear computer, meaning that all of its underlying operations are based on linear algebra.
Just as classical computers use logic gates like AND and OR to manipulate bits, quantum computers use quantum gates (qugates) to manipulate qubits.
When you hear the term quantum computing, it might sound exotic, but what does it actually mean for a computer to be 'quantum'?
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