Probability amplitudes and phase As mentioned in What is Quantum Interference?, until the system is measured, each state in the superposition of a quantum system has an associated probability amplitude. In the case of electron spin, for example, a single electron has two associated probability amplitudes, one for each spin Read more
If quantum particles sometimes behave as waves (see the double slit experiment for more details) it’s fair to expect wave-like phenomena play a role in quantum physics and, hence, in quantum computing. (Quantum) Interference is such a phenomenon. It builds on our notion of Superposition and helps us understand why Read more
With Entanglement, Quantum Superposition is one of the cornerstones of quantum computing. It forms the basis of all quantum algorithms and is the main reason quantum computers can outperform classical computers on certain problems. In this article, you will learn the origin of Superposition in the context of quantum mechanics, Read more
What is Phase Kickback? Phase Kickback is a building block of many popular quantum algorithms, including Deutsch’s Algorithm, Quantum Phase Estimation, and Shor’s Algorithm for integer factorization. It is built on the mathematical notion of eigenvalues and eigenstates and enables us to reverse the chain of cause and effect (to Read more
Entanglement and Superposition are the basis of what makes quantum computers different from classical computers and causes their incredible performance gains. In this article, you will learn in a jargon-free way what entanglement is and where it comes from. What is Entanglement? Let’s imagine for a second that you have Read more