Quantum Inf Process (2015) 14:1589–1604
Quantum image translation
Jian Wang · Nan Jiang · Luo Wang
Received: 31 May 2014 / Accepted: 20 September 2014 / Published online: 30 September 2014
© Springer Science+Business Media New York 2014
Abstract Image translation, which maps the position of each picture element into a
new position, is a basic image transformation. Although it has been deeply researched
and widely used in classical image processing, its quantum version is a vacancy.
This paper studies the quantum image translation (QIT) for the ﬁrst time to promote
the development of quantum image processing. Two types of QIT: entire translation
and cyclic translation are proposed by giving the quantum translation circuits. The
translation in X-direction and Y -direction is separable, and the circuits for translating
right or left are different.
Keywords Quantum image processing · Image translation · Quantum computation ·
With reference to the importance of digital image processing in classical computers,
quantum image processing (QIP) will meet and has met its substantial development
along with the bright prospect of quantum computers.
This work is supported by the Beijing Municipal Education Commission Science and Technology
Development Plan under Grant No. KM201310005021.
School of Computer and Information Technology, Beijing Jiaotong University,
Beijing 100044, China
N. Jiang (
) · L. Wang
College of Computer, Beijing University of Technology, Beijing 100124, China