; Read a reprint of A.M.Turing's "On Computable Numbers, with an Application to the Entscheidungsproblem", Proceedings of London Mathematics Society 2, 42:230, 1936.; Introduction to Quantum Computation and Information is a good collection of articles.

Quantum computing refers to using the principles of quantum mechanics to manipulate information and perform computations. A thorough exposition of quantum computing and the underlying concepts of quantum physics, with explanations of the relevant mathematics and numerous examples. Download qcl, the programming language for quantum computers discussed throughout this article. A free Mathematica add-on for Dirac Bra-Ket Notation, Quantum Operator and Commutator Algebra and Quantum Computing. Related topics. Quantum computers are exponentially faster than classical computers of today. Quantum Notation The allusion to vectors representing quantum states can be made precise. Quantum Mechanics applications include Harmonic Oscillator, Pauli-Pascal Triangles and other noncommutative expansions, and Quantum Random Walks. Even the easiest task that asks to apply the Pauli X gate relies on a lot of implied knowledge. Turns out, it is pretty hard for somebody who sees the quantum computing notation for the first time.
It seems like a very easy thing to do – how hard can it be to look up a list of quantum gates and match one of them to the task? Algorithms designed for quantum computers take advantage of the fact that quantum-mechanical systems may exist in a superposition of states to solve certain problems up to exponentially faster than classical computers. there will be another quantum … Quantum Computing is the next wave of the software industry. Installation instructions and the complete documentation can be downloaded both as Mathematica notebooks or PDF documents. Problems that were considered too difficult for computers to solve, such as simulation of protein folding in biological systems, and cracking RSA encryption, are now possible through quantum computers. Once quantum computing becomes scalable, it will … In quantum computing, we call operators as quantum gates.When we design a quantum gate, we make sure it is unitary, i.e. Using a notation introduced by Dirac, it is common to represent quantum states as abstract vectors such as |V> (vertical photon polarization) or |H> (horizontal photon polarization) in Hilbert space.