The JPEG algorithm compresses a digital image by filtering its high
spatial-frequency components. Similarly, we introduce a quantum protocol that
uses the quantum Fourier transform to discard the high-frequency qubits of an
image, downsampling it to a lower resolution. This allows to capture, compress
and send images even with limited quantum resources for storage and
communication. We show under which conditions this protocol is advantageous
with respect to its classical counterpart.Comment: 10 pages, 7 figures; [v2] Minor corrections and improvement