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Near Extensions and Alignment of Data in R(superscript)n
book

Near Extensions and Alignment of Data in R(superscript)n

by Steven B. Damelin
November 2023
Intermediate to advanced content levelIntermediate to advanced
192 pages
3h 29m
English
Wiley
Content preview from Near Extensions and Alignment of Data in R(superscript)n

20 Covering of SU(2) and Quantum Lattices

A central question in quantum computing is how elements of upper S upper U left-parenthesis 2 right-parenthesis (the collection of 2 times 2 unitary matrices with determinant 1) can be approximated by a small set of “generators”. A classical bit is the basic unit of information used in classical computing, which has the states 1 or 0 [97]. Quantum computing extends this concept using the notion of quantum bits. Dirac notation is used to denote the basic states vertical-bar 0 mathematical right-angle and vertical-bar 1 mathematical right-angle. Then a quantum bit, or qubit, is a pair of complex numbers alpha comma beta which correspond to the probability of the qubit being in the states vertical-bar 0 mathematical right-angle or vertical-bar 1 mathematical right-angle. Thus, the quantum bit is represented as . Since and represent the probability of the qubit being in a particular ...

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ISBN: 9781394196777Purchase Link