Skip to main content
Erschienen in:
Buchtitelbild

2020 | OriginalPaper | Buchkapitel

1. Introduction and Overview

verfasst von : Fei Yan, Salvador E. Venegas-Andraca

Erschienen in: Quantum Image Processing

Verlag: Springer Singapore

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

In this chapter, some essentials of quantum computation and information are reviewed to help readers outside of quantum physics (e.g., computer scientists) to understand the kernel of the QIMP area. Also introduced are several similar concepts originated from both quantum computation and information and computer science and engineering, such as quantum machine learning and quantum neural networks. The background of QIMP and its radical difference from digital image processing on classical computers are suggested as the cornerstone of the discussions in this book.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat Basano, L., Ottonello, P.: A conceptual experiment on single-beam coincidence detection with pseudothermal light. Opt. Express 15(19), 12386–12394 (2007)CrossRef Basano, L., Ottonello, P.: A conceptual experiment on single-beam coincidence detection with pseudothermal light. Opt. Express 15(19), 12386–12394 (2007)CrossRef
2.
Zurück zum Zitat Beach, G., Lomont, C., Cohen, C.: Quantum image processing (quip). In: Proceedings of the 32nd Applied Imagery Pattern Recognition Workshop, pp. 39–44 (2003) Beach, G., Lomont, C., Cohen, C.: Quantum image processing (quip). In: Proceedings of the 32nd Applied Imagery Pattern Recognition Workshop, pp. 39–44 (2003)
3.
Zurück zum Zitat Bennett, C., Divincenzo, D.: Quantum information and computation. Nature 404(6775), 247–255 (2000)CrossRefMATH Bennett, C., Divincenzo, D.: Quantum information and computation. Nature 404(6775), 247–255 (2000)CrossRefMATH
5.
Zurück zum Zitat Bennink, R., Bentley, S., Boyd, R.: “two-photon” coincidence imaging with a classical source. Phys. Rev. Lett. 89(11), 113601 (2002) Bennink, R., Bentley, S., Boyd, R.: “two-photon” coincidence imaging with a classical source. Phys. Rev. Lett. 89(11), 113601 (2002)
6.
Zurück zum Zitat Biamonte, J., Wittek, P., Pancotti, N., Rebentrost, P., Wiebe, N., Lloyd, S.: Quantum machine learning. Nature 549, 195–202 (2017)CrossRef Biamonte, J., Wittek, P., Pancotti, N., Rebentrost, P., Wiebe, N., Lloyd, S.: Quantum machine learning. Nature 549, 195–202 (2017)CrossRef
7.
Zurück zum Zitat Boyd, R., Reynolds, P.: Introduction to the special issue on quantum imaging. Quantum Inf. Process 11(4), 887–889 (2012)CrossRef Boyd, R., Reynolds, P.: Introduction to the special issue on quantum imaging. Quantum Inf. Process 11(4), 887–889 (2012)CrossRef
8.
Zurück zum Zitat Brock, D.: Understanding Moore’s Law: Four Decades of Innovation. Chemical Heritage Press, Philadelphia (2006) Brock, D.: Understanding Moore’s Law: Four Decades of Innovation. Chemical Heritage Press, Philadelphia (2006)
9.
Zurück zum Zitat Bruza, P., Wang, Z., Busemeyer, J.: Quantum cognition: a new theoretical approach to psychology. Trends Cogn. Sci. 19(7), 383–393 (2015)CrossRef Bruza, P., Wang, Z., Busemeyer, J.: Quantum cognition: a new theoretical approach to psychology. Trends Cogn. Sci. 19(7), 383–393 (2015)CrossRef
10.
Zurück zum Zitat Caraiman, S., Manta, V.: New applications of quantum algorithm to computer graphics the quantum random sample consensus algorithm. In: Proceedings of the 6th ACM Conference on Computing Frontiers, pp. 81–88 (2009) Caraiman, S., Manta, V.: New applications of quantum algorithm to computer graphics the quantum random sample consensus algorithm. In: Proceedings of the 6th ACM Conference on Computing Frontiers, pp. 81–88 (2009)
12.
Zurück zum Zitat Cruz-Santos, W., Venegas-Andraca, S., Lanzagorta, M.: A QUBO formulation of the stereo matching problem for d-wave quantum annealers. Entropy 20(10), 786 (2018)CrossRef Cruz-Santos, W., Venegas-Andraca, S., Lanzagorta, M.: A QUBO formulation of the stereo matching problem for d-wave quantum annealers. Entropy 20(10), 786 (2018)CrossRef
14.
Zurück zum Zitat Deutsch, D.: Quantum theory, the Church-Turing principle and the universal quantum computer. In: Proceedings of the Royal Society of London A, vol. 400, pp. 97–117 (1985)MathSciNetMATH Deutsch, D.: Quantum theory, the Church-Turing principle and the universal quantum computer. In: Proceedings of the Royal Society of London A, vol. 400, pp. 97–117 (1985)MathSciNetMATH
15.
Zurück zum Zitat Disco, C., Meulen, B.: Getting New Technologies Together: Studies in Making Sociotechnical Order. Walter de Gruyter, Berlin (1998)CrossRef Disco, C., Meulen, B.: Getting New Technologies Together: Studies in Making Sociotechnical Order. Walter de Gruyter, Berlin (1998)CrossRef
16.
Zurück zum Zitat Eldar, Y., Oppenheim, A.: Quantum signal processing. IEEE Signal Process. Mag. 19(6), 12–32 (2002)CrossRef Eldar, Y., Oppenheim, A.: Quantum signal processing. IEEE Signal Process. Mag. 19(6), 12–32 (2002)CrossRef
17.
Zurück zum Zitat Erkmen, B., Shapiro, J.: Ghost imaging: from quantum to classical to computational. Adv. Opt. Photon. 2(4), 405–450 (2010)CrossRef Erkmen, B., Shapiro, J.: Ghost imaging: from quantum to classical to computational. Adv. Opt. Photon. 2(4), 405–450 (2010)CrossRef
18.
Zurück zum Zitat Ezhov, A., Ventura, D.: Quantum Neural Networks. Future Directions for Intelligent Systems and Information Sciences. Springer, Berlin (2000) Ezhov, A., Ventura, D.: Quantum Neural Networks. Future Directions for Intelligent Systems and Information Sciences. Springer, Berlin (2000)
20.
Zurück zum Zitat Fisher, M.: Quantum cognition: the possibility of processing with nuclear spins in the brain. Ann. Phys. 362, 593–602 (2015)CrossRefMathSciNetMATH Fisher, M.: Quantum cognition: the possibility of processing with nuclear spins in the brain. Ann. Phys. 362, 593–602 (2015)CrossRefMathSciNetMATH
21.
Zurück zum Zitat Galv\(\tilde {a}\)o, E., Hardy, L.: Substituting a qubit for an arbitrarily large number of classical bits. Phys. Rev. Lett. 90(8), 087902 (2003) Galv\(\tilde {a}\)o, E., Hardy, L.: Substituting a qubit for an arbitrarily large number of classical bits. Phys. Rev. Lett. 90(8), 087902 (2003)
22.
Zurück zum Zitat Gatti, A., Bondani, M., Lugiato, L., Paris, M., Fabre, C.: Comment on “can two-photon correlation of chaotic light be considered as correlation of intensity fluctuations?”. Phys. Rev. Lett. 98(3), 039301 (2007)CrossRef Gatti, A., Bondani, M., Lugiato, L., Paris, M., Fabre, C.: Comment on “can two-photon correlation of chaotic light be considered as correlation of intensity fluctuations?”. Phys. Rev. Lett. 98(3), 039301 (2007)CrossRef
23.
Zurück zum Zitat Gatti, A., Brambilla, E., Lugiato, L.: Quantum imaging. Prog. Opt. 51(7), 251–348 (2008)CrossRef Gatti, A., Brambilla, E., Lugiato, L.: Quantum imaging. Prog. Opt. 51(7), 251–348 (2008)CrossRef
24.
Zurück zum Zitat Gonzalez, R., Woods, R.: Digital Image Processing, 3rd edn. Pearson Education, London (2008) Gonzalez, R., Woods, R.: Digital Image Processing, 3rd edn. Pearson Education, London (2008)
25.
Zurück zum Zitat Grover, L.: A fast quantum mechanical algorithm for database search. In: Proceedings of the 28th Annual ACM Symposium on Theory of Computing, pp. 212–219 (1996) Grover, L.: A fast quantum mechanical algorithm for database search. In: Proceedings of the 28th Annual ACM Symposium on Theory of Computing, pp. 212–219 (1996)
26.
Zurück zum Zitat Hempel, C., Maier, C., Romero, J., McClean, J., Monz, T., Shen, H., Jurcevic, P., Lanyon, B., Love, P., Babbush, R., Aspuru-Guzik, A., Blatt, R., Roos, C.: Quantum chemistry calculations on a trapped-ion quantum simulator. Phys. Rev. X 8(3), 031022 (2018) Hempel, C., Maier, C., Romero, J., McClean, J., Monz, T., Shen, H., Jurcevic, P., Lanyon, B., Love, P., Babbush, R., Aspuru-Guzik, A., Blatt, R., Roos, C.: Quantum chemistry calculations on a trapped-ion quantum simulator. Phys. Rev. X 8(3), 031022 (2018)
27.
Zurück zum Zitat Iliyasu, A.: Algorithmic frameworks to support the realisation of secure and efficient image-video processing applications on quantum computers. Ph.D Thesis, Tokyo Institute of Technology, Tokyo (2012) Iliyasu, A.: Algorithmic frameworks to support the realisation of secure and efficient image-video processing applications on quantum computers. Ph.D Thesis, Tokyo Institute of Technology, Tokyo (2012)
28.
Zurück zum Zitat Iliyasu, A.: Towards realising secure and efficient image and video processing applications on quantum computers. Entropy 15, 2874–2974 (2013)CrossRefMathSciNetMATH Iliyasu, A.: Towards realising secure and efficient image and video processing applications on quantum computers. Entropy 15, 2874–2974 (2013)CrossRefMathSciNetMATH
30.
Zurück zum Zitat Keyes, R.: The impact of Moore’s law. IEEE Solid-State Circuits Soc. Newsl. 11(3), 25–27 (2006)CrossRef Keyes, R.: The impact of Moore’s law. IEEE Solid-State Circuits Soc. Newsl. 11(3), 25–27 (2006)CrossRef
31.
Zurück zum Zitat Ladd, T., Jelezko, F., Laflamme, R., Nakamura, Y., Monroe, C., O’Brien J.L.: Quantum computers. Nature 464, 45–53 (2010)CrossRef Ladd, T., Jelezko, F., Laflamme, R., Nakamura, Y., Monroe, C., O’Brien J.L.: Quantum computers. Nature 464, 45–53 (2010)CrossRef
32.
Zurück zum Zitat Latorre, J.: Image compression and entanglement. arXiv: quant-ph/0510031 (2005) Latorre, J.: Image compression and entanglement. arXiv: quant-ph/0510031 (2005)
33.
Zurück zum Zitat Le, P.: Flexible representation and processing transformations for quantum images, and their applications. Ph.D Thesis, Tokyo Institute of Technology, Tokyo (2012) Le, P.: Flexible representation and processing transformations for quantum images, and their applications. Ph.D Thesis, Tokyo Institute of Technology, Tokyo (2012)
34.
Zurück zum Zitat Liang, Q., Venkatramani, A., Cantu, S., Nicholson, T., Gullans, M., Gorshkov, A., Thompson, J., Chin, C., Lukin, M., Vuleti\(\acute {c}\), V.: Observation of three-photon bound states in a quantum nonlinear medium. Science 359(6377), 783–786 (2018) Liang, Q., Venkatramani, A., Cantu, S., Nicholson, T., Gullans, M., Gorshkov, A., Thompson, J., Chin, C., Lukin, M., Vuleti\(\acute {c}\), V.: Observation of three-photon bound states in a quantum nonlinear medium. Science 359(6377), 783–786 (2018)
35.
Zurück zum Zitat Mermin, N.: Quantum Computer Science: An Introduction. Cambridge University Press, Cambridge (2007)CrossRefMATH Mermin, N.: Quantum Computer Science: An Introduction. Cambridge University Press, Cambridge (2007)CrossRefMATH
38.
Zurück zum Zitat Nielsen, M., Chuang, I.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)MATH Nielsen, M., Chuang, I.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)MATH
39.
Zurück zum Zitat Pittman, T., Shih, Y., Strekalov, D., Sergienko, A.: Optical imaging by means of two-photon quantum entanglement. Phys. Rev. A 52(5), R3429–R3432 (1995)CrossRef Pittman, T., Shih, Y., Strekalov, D., Sergienko, A.: Optical imaging by means of two-photon quantum entanglement. Phys. Rev. A 52(5), R3429–R3432 (1995)CrossRef
40.
Zurück zum Zitat Purushothaman, G., Karayiannis, N.: Quantum neural networks (QNNs): inherently fuzzy feedforward neural networks. IEEE Trans. Neural Netw. 8(3), 679–693 (1997)CrossRef Purushothaman, G., Karayiannis, N.: Quantum neural networks (QNNs): inherently fuzzy feedforward neural networks. IEEE Trans. Neural Netw. 8(3), 679–693 (1997)CrossRef
42.
Zurück zum Zitat Rieffel, E., Polak, W.: An introduction to quantum computing for non-physicists. ACM Comput. Surv. 32(3), 300–335 (2000)CrossRef Rieffel, E., Polak, W.: An introduction to quantum computing for non-physicists. ACM Comput. Surv. 32(3), 300–335 (2000)CrossRef
43.
Zurück zum Zitat Scarcelli, G., Berardi, V., Shih, Y.: Scarcelli, Berardi, and Shih reply. Phys. Rev. Lett. 98, 039302 (2007)CrossRef Scarcelli, G., Berardi, V., Shih, Y.: Scarcelli, Berardi, and Shih reply. Phys. Rev. Lett. 98, 039302 (2007)CrossRef
44.
Zurück zum Zitat Schuld, M., Sinayskiy, I., Petruccione, F.: An introduction to quantum machine learning. Contemp. Phys. 56(2), 172–185 (2015)CrossRefMATH Schuld, M., Sinayskiy, I., Petruccione, F.: An introduction to quantum machine learning. Contemp. Phys. 56(2), 172–185 (2015)CrossRefMATH
46.
Zurück zum Zitat Shapiro, J., Boyd, R.: Response to “the physics of ghost imaging: nonlocal interference or local intensity fluctuation correlation?”. Quantum Inf. Process. 11(4), 1003–1011 (2012)CrossRefMATH Shapiro, J., Boyd, R.: Response to “the physics of ghost imaging: nonlocal interference or local intensity fluctuation correlation?”. Quantum Inf. Process. 11(4), 1003–1011 (2012)CrossRefMATH
47.
Zurück zum Zitat Shih, Y.: The physics of ghost imaging: nonlocal interference or local intensity fluctuation correlation? Quantum Inf. Process. 11(4), 995–1001 (2012)CrossRefMATH Shih, Y.: The physics of ghost imaging: nonlocal interference or local intensity fluctuation correlation? Quantum Inf. Process. 11(4), 995–1001 (2012)CrossRefMATH
48.
Zurück zum Zitat Shor, P.: Algorithms for quantum computation: discrete logarithms and factoring. In: Proceedings of the 35th Annual Symposium on Foundations of Computer Science, pp. 124–134 (1994) Shor, P.: Algorithms for quantum computation: discrete logarithms and factoring. In: Proceedings of the 35th Annual Symposium on Foundations of Computer Science, pp. 124–134 (1994)
50.
Zurück zum Zitat Tucker, A.: Computer Science Handbook. CRC Press, Boca Raton (2004)MATH Tucker, A.: Computer Science Handbook. CRC Press, Boca Raton (2004)MATH
51.
Zurück zum Zitat Venegas-Andraca, S.: Discrete quantum walks and quantum image processing. Ph.D Thesis, the University of Oxford, Oxford (2005) Venegas-Andraca, S.: Discrete quantum walks and quantum image processing. Ph.D Thesis, the University of Oxford, Oxford (2005)
52.
Zurück zum Zitat Venegas-Andraca, S.: Quantum Walks for Computer Scientists. Morgan and Claypool, San Rafael (2008) Venegas-Andraca, S.: Quantum Walks for Computer Scientists. Morgan and Claypool, San Rafael (2008)
53.
Zurück zum Zitat Venegas-Andraca, S.: Introductory words: special issue on quantum image processing published by quantum information processing. Quantum Inf. Process. 14(5), 1535–1537 (2015)CrossRefMathSciNetMATH Venegas-Andraca, S.: Introductory words: special issue on quantum image processing published by quantum information processing. Quantum Inf. Process. 14(5), 1535–1537 (2015)CrossRefMathSciNetMATH
54.
Zurück zum Zitat Venegas-Andraca, S., Bose, S.: Quantum computation and image processing: new trends in artificial intelligence. In: Proceedings of International Joint Conferences on Artificial Intelligence, pp. 1563–1566 (2003) Venegas-Andraca, S., Bose, S.: Quantum computation and image processing: new trends in artificial intelligence. In: Proceedings of International Joint Conferences on Artificial Intelligence, pp. 1563–1566 (2003)
55.
Zurück zum Zitat Venegas-Andraca, S., Bose, S.: Storing, processing, and retrieving an image using quantum mechanics. In: Proceedings of SPIE Conference of Quantum Information and Computation, vol. 5105, pp. 137–147 (2003) Venegas-Andraca, S., Bose, S.: Storing, processing, and retrieving an image using quantum mechanics. In: Proceedings of SPIE Conference of Quantum Information and Computation, vol. 5105, pp. 137–147 (2003)
56.
Zurück zum Zitat Venegas-Andraca, S., Cruz-Santos, W., Mcgeoch, C., Lanzagorta, M.: A cross-disciplinary introduction to quantum annealing-based algorithms. Contemp. Phys. 59(2), 174–197 (2018)CrossRef Venegas-Andraca, S., Cruz-Santos, W., Mcgeoch, C., Lanzagorta, M.: A cross-disciplinary introduction to quantum annealing-based algorithms. Contemp. Phys. 59(2), 174–197 (2018)CrossRef
57.
Zurück zum Zitat Vidal, G.: Efficient simulation of one-dimensional quantum many-body systems. Phys. Rev. Lett. 93, 040502 (2004)CrossRef Vidal, G.: Efficient simulation of one-dimensional quantum many-body systems. Phys. Rev. Lett. 93, 040502 (2004)CrossRef
58.
Zurück zum Zitat Vlasov, A.: Quantum computations and images recognition. arXiv:quant-ph/9703010 (1997) Vlasov, A.: Quantum computations and images recognition. arXiv:quant-ph/9703010 (1997)
59.
Zurück zum Zitat Weedbrook, C., Pirandola, S., García-Patrón, R., Cerf, N., Ralph, T., Shapiro, J., Lloyd, S.: Gaussian quantum information. Rev. Mod. Phys. 84(2), 621–669 (2012)CrossRef Weedbrook, C., Pirandola, S., García-Patrón, R., Cerf, N., Ralph, T., Shapiro, J., Lloyd, S.: Gaussian quantum information. Rev. Mod. Phys. 84(2), 621–669 (2012)CrossRef
60.
Zurück zum Zitat Yan, F.: Quantum computation based image data searching, image watermarking, and representation of emotion space. Ph.D Thesis, Tokyo Institute of Technology, Tokyo (2014) Yan, F.: Quantum computation based image data searching, image watermarking, and representation of emotion space. Ph.D Thesis, Tokyo Institute of Technology, Tokyo (2014)
61.
Zurück zum Zitat Yan, F., Iliyasu, A., Jiang, Z.: Quantum computation-based image representation, processing operations and their applications. Entropy 16(10), 5290–5338 (2014)CrossRefMathSciNet Yan, F., Iliyasu, A., Jiang, Z.: Quantum computation-based image representation, processing operations and their applications. Entropy 16(10), 5290–5338 (2014)CrossRefMathSciNet
62.
Zurück zum Zitat Yan, F., Iliyasu, A., Venegas-Andraca, S.: A survey of quantum image representations. Quantum Inf. Process. 15(1), 1–35 (2016)CrossRefMathSciNetMATH Yan, F., Iliyasu, A., Venegas-Andraca, S.: A survey of quantum image representations. Quantum Inf. Process. 15(1), 1–35 (2016)CrossRefMathSciNetMATH
63.
Zurück zum Zitat Yan, F., Iliyasu, A., Le, P.: Quantum image processing: a review of advances in its security technologies. Int. J. Quant. Inf. 15(3), 1730001 (2017)CrossRefMathSciNetMATH Yan, F., Iliyasu, A., Le, P.: Quantum image processing: a review of advances in its security technologies. Int. J. Quant. Inf. 15(3), 1730001 (2017)CrossRefMathSciNetMATH
64.
Zurück zum Zitat Yan, F., Chen, K., Iliyasu, A., Zhao, J.: Circuit-based modular implementation of quantum ghost imaging. arXiv:1806.06702 (2018) Yan, F., Chen, K., Iliyasu, A., Zhao, J.: Circuit-based modular implementation of quantum ghost imaging. arXiv:1806.06702 (2018)
65.
Zurück zum Zitat Yan, F., Jiao, S., Iliyasu, A., Jiang, Z.: Chromatic framework for quantum movies and applications in creating montages. Front. Comp. Sci. 12(4), 736–748 (2018)CrossRef Yan, F., Jiao, S., Iliyasu, A., Jiang, Z.: Chromatic framework for quantum movies and applications in creating montages. Front. Comp. Sci. 12(4), 736–748 (2018)CrossRef
67.
Zurück zum Zitat Yao, X., Wang, H., Liao, Z., Chen, M., Pan, J., Li, J., Zhang, K., Lin, X., Wang, Z., Luo, Z., Zheng, W., Li, J., Zhao, M., Peng, X., Suter, D.: Quantum image processing and its application to edge detection: theory and experiment. Phys. Rev. X 7, 031041 (2017) Yao, X., Wang, H., Liao, Z., Chen, M., Pan, J., Li, J., Zhang, K., Lin, X., Wang, Z., Luo, Z., Zheng, W., Li, J., Zhao, M., Peng, X., Suter, D.: Quantum image processing and its application to edge detection: theory and experiment. Phys. Rev. X 7, 031041 (2017)
Metadaten
Titel
Introduction and Overview
verfasst von
Fei Yan
Salvador E. Venegas-Andraca
Copyright-Jahr
2020
Verlag
Springer Singapore
DOI
https://doi.org/10.1007/978-981-32-9331-1_1