Processing images in entangled quantum systems

We introduce a novel method for storing and retrieving binary geometrical shapes in quantum mechanical systems. In contrast to standard procedures in classical computer science in which image reconstruction requires not only the storage of light parameters (like light frequency) but also the storage and use of additional information like correlation and pixel spatial disposition, we show that the employment of maximally entangled qubits allows to reconstruct images without using any additional information. Moreover, we provide a concrete application of our proposal in the field of image recognition and briefly explore potential experimental realizations. Our proposal could be employed to enable emergent quantum technology to be used in high-impact scientific disciplines in which extensive use of image processing is made.

[1]  Lov K. Grover.  A fast quantum mechanical algorithm for database search , 1996, STOC '96.

[2]  Paul G. Kwiat,et al.  Hyper-entangled states , 1997 .

[3]  R. B. Blakestad,et al.  Creation of a six-atom ‘Schrödinger cat’ state , 2005, Nature.

[4]  David A. Jaffray,et al.  Image-Guided Radiation Therapy of Prostate Cancer , 2008 .

[5]  J. Bell,et al.  Speakable and Unspeakable in Quatum Mechanics , 1988 .

[6]  Wolfgang Mathis,et al.  One-step implementation of maximally entangled states of many three-level atoms in microwave cavity QED , 2004 .

[7]  M. Fiorentino,et al.  Deterministic controlled-not gate for two-qubit single-photon quantum logic , 2004, InternationalQuantum Electronics Conference, 2004. (IQEC)..

[8]  Franco Nori,et al.  Generation and control of Greenberger-Horne-Zeilinger entanglement in superconducting circuits. , 2006, Physical review letters.

[9]  E. R. Davies,et al.  Machine vision - theory, algorithms, practicalities , 2004 .

[10]  Isabelle Bloch,et al.  Mathematical Morphology , 2007, Handbook of Spatial Logics.

[11]  Philip Walther,et al.  Heralded generation of multiphoton entanglement , 2007, 0804.2384.

[12]  A. Zeilinger,et al.  Speakable and Unspeakable in Quantum Mechanics , 1989 .

[13]  V. Scarani,et al.  Bell-type inequalities to detect true n-body nonseparability. , 2002, Physical review letters.

[14]  Deborah A. Kuban.  Image-Guided Radiation Therapy of Prostate Cancer , 2009 .

[15]  M. Seevinck,et al.  Bell-type inequalities for partial separability in N-particle systems and quantum mechanical violations. , 2002, Physical review letters.

[16]  Tim Morris,et al.  Computer Vision and Image Processing: 4th International Conference, CVIP 2019, Jaipur, India, September 27–29, 2019, Revised Selected Papers, Part I , 2020, CVIP.

[17]  A. Zeilinger,et al.  Going Beyond Bell’s Theorem , 2007, 0712.0921.

[18]  A. Shimony,et al.  Bell’s theorem without inequalities , 1990 .

[19]  O. Gühne,et al.  03 21 7 2 3 M ar 2 00 6 Scalable multi-particle entanglement of trapped ions , 2006 .