Neural networks with quantum architecture and quantum learning

International Journal of Circuit Theory and Applications

Volumn 39, Issue 1, 2011, Pages 61-77

  Panella, Massimo ^a   Martinelli, Giuseppe ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

exhaustive optimization; nonlinear quantum circuit; quantum architecture; quantum learning; quantum neural network

Indexed keywords

EXHAUSTIVE OPTIMIZATION; QUANTUM ARCHITECTURE; QUANTUM CIRCUIT; QUANTUM LEARNING; QUANTUM NEURAL NETWORKS;

BOOLEAN FUNCTIONS; LEARNING ALGORITHMS; LOGIC CIRCUITS; NETWORK ARCHITECTURE; OPTIMIZATION; QUANTUM OPTICS;

NEURAL NETWORKS;

EID: 78651473785     PISSN: 00989886     EISSN: 1097007X     Source Type: Journal    
DOI: 10.1002/cta.619     Document Type: Article

References (47)

1. Civalleri PP, Gilli M, Bonnin M,. Equivalent circuits for small signal performance of spin 1/2 particles. International Journal of Circuit Theory and Applications 2006; 34 (2): 165-182.
2. Hoekstra J,. Towards a circuit theory for metallic single-electron tunnelling devices. International Journal of Circuit Theory and Applications 2007; 35 (3): 213-238.
3. Civalleri PP, Gilli M, Bonnin M,. Equivalent circuits for two-state quantum systems. International Journal of Circuit Theory and Applications 2007; 35 (3): 265-280. (Pubitemid 46848193)
4. Csurgay AI, Porod W,. Circuit models for arrays of nanoelectronic resonators-appearances of discrete breathers. International Journal of Circuit Theory and Applications 2007; 35 (3): 305-313.
5. Csurgay AI,. On circuit models for quantum-classical networks. International Journal of Circuit Theory and Applications 2007; 35 (5-6): 471-484.
6. Maffucci A, Miano G, Villone F,. A transmission line model for metallic carbon nanotube interconnects. International Journal of Circuit Theory and Applications 2008; 36 (1): 31-51.
7. Iafrate GJ, Scorsio MA,. Application of quantum-based devices: trends and challenges. IEEE Transactions on Electron Devices 1996; 10: 1621-1625.
8. Chen G, Church DA, Englert B-G, Henkel C, Rohwedder B, Scully MO, Zubairy MS,. Quantum Computing Devices: Principles, Designs, and Analysis. CRC Press: Boca Raton, 2006.
9. Cirac JI, Zoller P,. Quantum computations with cold trapped ions. Physical Review Letters 1995; 74: 4091-4094.
10. Stick D, Hensinger W, Olmschenk S, Madsen M, Schwab K, Monroe C,. Ion trap in a semiconductor chip. Nature Physics 2006; 2: 36-39.
11. Gershenfeld NA, Chuang IL,. Bulk spin resonance quantum computing. Science 1997; 275: 350-356.
12. Perkowski MA,. Multiple-valued quantum circuits and research challenges for logic design and computational intelligence communities. IEEE Connections 2005; 3: 6-12.
13. Menneer T,. Quantum artificial neural networks. Ph.D. Thesis, University of Exeter, 1998.
14. Narayanan A, Menneer T,. Quantum artificial neural network architectures and components. Information Sciences 2000; 128: 231-255.
15. Lewenstein M,. Quantum perceptrons. Journal of Modern Optics 1994; 41: 2491-2501.
16. Altaisky MV,. Quantum neural network. ArXiv: quant.ph/0107012, 5 July 2001.
17. Ventura D, Martinez T,. An artificial neuron with quantum mechanical properties. Proceedings of the International Conference on Artificial Neural Networks and Genetic Algorithms, Norwich, U.K., 1997; 482-485.
18. Fei L, Baoyu Z,. A study of quantum neural networks. Proceedings of the IEEE International Conference on Neural Networks and Signal Processing 2003; 1: 539-542.
19. Feynman R,. Quantum mechanical computers. Optics News 1985; 11: 11-20.
20. De Vos A, Van Rentergem Y,. Synthesis of reversible logic for nanoelectronic circuits. International Journal of Circuit Theory and Applications 2007; 35 (3): 325-341.
21. Gupta S, Zia RKP,. Quantum neural networks. Journal of Computer and System Sciences 2001; 63: 355-383.
22. Konda N, Matsui N, Nishimura H, Peper F,. Qubit neural network and its learning efficiency. Neural Computing and Applications 2005; 14: 114-121.
23. Panella M, Martinelli G,. Binary Neuro-fuzzy Classifiers Trained by Nonlinear Quantum Circuits. Lecture Notes in Artificial Intelligence, vol. 4578. Springer: Berlin, 2007; 237-244.
24. Panella M, Martinelli G,. Neurofuzzy networks with nonlinear quantum learning. IEEE Transactions on Fuzzy Systems 2009; 17 (3): 698-710.
25. Ricks B, Ventura D,. Training a quantum neural network. Neural Information Processing Systems December 2003; 1019-1026.
26. Papageorgiou A, Traub JF,. Qbit complexity of continuous problems. ArXiv:quant-ph/0512082, 26 April 2006.
27. Rieffel E, Polak W,. An introduction to quantum computing for non-physicists. ACM Computing Surveys 2000; 32: 300-335.
28. Deutsch D,. Quantum theory, the Church-Turing principle and the universal quantum computer. Proceedings of the Royal Society of London 1985; 400(Ser. A): 97-117.
29. Di Vincenzo DP,. Two-bit gates are universal for quantum computation. Physical Review A 1995; 51 (2): 1015-1022.
30. Deutsch D, Barenco A, Ekert A,. Universality in quantum computation. Proceedings of the Royal Society of London 1995; 449(Ser. A): 669-677.
31. Barenco A,. A universal two-bit gate for quantum computation. Proceedings of the Royal Society of London 1995; 449(Ser. A): 679-683.
32. Barenco A, Bennett CH, Cleve R, Di Vincenzo DP, Margolus NH, Shor PW, Sleator T, Smolin JA, Weinfurter H,. Elementary gates for quantum computation. Physical Review A 1995; 52 (5): 3457-3467.
33. Lloyd S,. Almost any quantum logic gate is universal. Physical Review Letters 1995; 75: 346-349.
34. Brylinski JL, Brylinski R,. Universal quantum gates. Mathematics of Quantum Computation. Chapman & Hall: London, 2002.
35. Shi Y,. Both Toffoli and controlled-NOT need little help to do universal quantum computation. Quantum Information and Computation 2003; 3: 84-92.
36. Nielsen MA, Chuang IL,. Quantum Computation and Quantum Information. Cambridge University Press: Cambridge, 2000.
37. Kitaev AY, Shen AH, Vyalyi MN,. Classical and Quantum Computation. Graduate Studies in Mathematics, vol. 47. American Mathematical Society: Providence, RI, 2003.
38. Harrow A, Low R,. Random quantum circuits are approximate 2-designs. ArXiv: quant-ph/arXiv:0802.1919v1, 13 February 2008.
39. Arnaud L, Braun D,. Efficiency of producing random unitary matrices with quantum circuits. ArXiv: quant-ph/0807.0775v1, 4 July 2008.
40. Nielsen MA, Chuang IL,. Programmable quantum gate arrays. Physical Review Letters 1997; 79: 321-324.
41. Vlasov AY,. Classical programmability is enough for quantum circuits universality in approximate sense. ArXiv: quant-ph/0103119v1, 20 March 2001.
42. Vlasov AY,. Quantum processors and controllers. Proceedings of the International Conference on Physics and Control, St. Petersburg, Russia, vol. 3, 2003; 861-866.
43. Jeandel E,. Universality in Quantum Computation. Lecture Notes in Computer Science, vol. 3142. Springer: Berlin, 2004; 793-804.
44. Abrams D, Lloyd S,. Nonlinear quantum mechanics implies polynomial-time solution for NP-complete and #P problems. Physical Review Letters 1998; 81: 3992-3995.
45. Czachor M,. Notes on nonlinear quantum algorithms. ArXiv: quant-ph/9802051v2, 23 February 1998.
46. Czachor M,. Local modification of the Abrams-Lloyd nonlinear algorithm. ArXiv: quant-ph/9803019v1, 9 March 1998.
47. Vedral V, Barenco A, Ekert A,. Quantum networks for elementary arithmetic operations. Physical Review A 1996; 54: 147-153.