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Erschienen in:
01.02.2016
Quantum image with high retrieval performance
Erschienen in: Quantum Information Processing | Ausgabe 2/2016
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Abstract
Quantum image retrieval is an exhaustive work due to exponential measurements. Casting aside the background of image processing, quantum image is a pure many-body state, and the retrieval task is a physical process named as quantum state tomography. Tomography of a special class of states, permutationally symmetric states, just needs quadratic measurement scales with the number of qubits. In order to take advantage of this result, we propose a method to map the main energy of the image to these states. First, we deduce that \(n+1\) permutationally symmetric states can be constructed as bases of \(2^n\) Hilbert space (n qubits) at least. Second, we execute Schmidt decomposition by continually bipartite splitting of the quantum image (state). At last, we select \(n+1\) maximum coefficients, do base transformation to map these coefficients to new bases (permutationally symmetric states). By these means, the quantum image with high retrieval performance can be gotten.