Abstract
Quantum image processing represents an emerging image processing technology by taking advantage of quantum computation. Quantum image processing faces the first question: How is an image stored in and retrieved from a quantum system? To solve the issue, the authors provide six quantum image representations, which can be divided into three categories. The first, second, and third categories store color information using amplitudes, phases, and basis states, respectively. Next, they design their circuits to implement the storage of quantum image. Then, retrieval methods are introduced. The storage and retrieval technologies of quantum image are the basis and premise condition to process quantum images.
TopQubit Lattice
As the first of quantum image representation, Qubit Lattice stores a
color image in quantum systems with
qubits (Venegas-Andraca & Bose, 2003, 2010). Qubit Lattice uses frequency of the physical nature of color to represent a color instead of the RGB model other HIS model, so a color could be represented by only a 1-qubit quantum state, i.e.,
,
(3.1) where γ is a constant, and the real number θ∈[0,π] represents a color.
An n1×n2 image is stored in a qubit lattice Q,
.
(3.2)A set of qubit lattices Z is defined as
Z={
Qk},
k∈{1,2,…,
n3}.
(3.3)