Chapter 1 Quantum Computing Basics and Concepts
element of M is a unit vector (vector of length one) and any two distinct elements are orthogonal. Example 1.3.0.1 Orthonormal basis set An orthonormal basis set can be defined such as: {(1,0,0)T,(0,1,0)T,(0,0,1)T}. In this space, a linear operator A represented by a matrix A transforms an input vector v to an output vector w such as w= Av.
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