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102-113

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- Department of Physics, RYM Engineering College, Ballari, India

author

- Department of Physics, RYM Engineering College, Ballari, India

author

- Department of Electronics, Proudhadevaraya Institute of Technology, Hosapete, India

References

- [1] Nikesk S Dattani and Nathaniel Bryans, Quantum factorization of 56153 with only 4 qubits, Quantum Physics, 27th November 2014. arXiv:1411.6758
- [2] Niklas Johansson and Jan Ake Larsson, Realization of Shor’s Algorithm at Room Temperature, Quantum Physics, 10th January 2017. arXiv:1706.03215
- [3] T. Monz et al., Realization of a scalable Shor algorithm, Science 351, 1068–1070 (2016).
- [4] E. Lucero et al., Computing prime factors with a Josephson phase qubit quantum processor. Nature Physics 8, 719-723 (2012).
- [5] E. Martin-Lopez et al., Experimental realization of Shor’s quantum factoring algorithm using qubit recycling. Nature Photonics 6, 773–776 (2012).
- [6] Politi, J. C. Matthews, and J. L. O’Brien, Shor’s quantum factoring algorithm on a photonic chip. Science 325, 1221–1221 (2009).
- [7] C.-Y. Lu, D. E. Browne, T. Yang, and J.-W. Pan, Demonstration of a Compiled Version of Shor’s Quantum Factoring Algorithm Using Photonic Qubits. Physical Review Letters 99 (2007) 10.1103/PhysRevLett.99.250504
- [8] B. P. Lanyon et al., Experimental Demonstration of a Compiled Version of Shor’s Algorithm with Quantum Entanglement. Physical Review Letters 99 (2007) 10.1103/PhysRevLett.99.250505
- [9] L. M. Vandersypen et al., “Experimental realization of Shor’s quantum factoring algorithm using nuclear magnetic resonance. Nature 414, 883–887 (2001).
- [10] N. Xu, J. Zhu, D. Lu, X. Zhou, X. Peng, and J. Du. Quantum Factorization of 143 on a Dipolar-Coupling Nuclear Magnetic Resonance System. Physical Review Letters, vol. 108, no. 13, p. 130501, Mar. 2012.
- [11] L. M. Vandersypen, M. Steffen, G. Breyta, C. S. Yannoni, M. H. Sherwood, and I. L. Chuang, “Experimental realization of Shor’s quantum factoring algorithm using nuclear magnetic resonance. Nature, vol. 414, no. 6866, pp. 883–7, Jan. 2001.
- [12] B. Lanyon, T. Weinhold, N. Langford, M. Barbieri, D. James, A. Gilchrist, and A. White, Experimental Demonstration of a Compiled Version of Shor’s Algorithm with Quantum Entanglement. Physical Review Letters, vol. 99, no. 25, p. 250505, Dec. 2007.
- [13] C.-Y. Lu, D. Browne, T. Yang, and J.-W. Pan, Demonstration of a Compiled Version of Shor’s Quantum Factoring Algorithm Using Photonic Qubits. Physical Review Letters, vol. 99, no. 25, p. 250504, Dec. 2007.
- [14] Politi, J. C. F. Matthews, and J. L. O’Brien, Shor’s quantum factoring algorithm on a photonic chip. Science, vol. 325, no. 5945, p.1221, Sep. 2009.
- [15] E. Martín-López, A. Laing, T. Lawson, R. Alvarez, X.-Q. Zhou, and J. L. O’Brien, Experimental realization of Shor’s quantum factoring algorithm using qubit recycling. Nature Photonics, vol. 6, no. 11, pp. 773–776, Oct. 2012.
- [16] E. Lucero, R. Barends, Y. Chen, J. Kelly, M. Mariantoni, A. Megrant, P. ’Malley, D. Sank, A. Vainsencher, J. Wenner, T. White, Y. Yin, A. N. Cleland, and J. M. Martinis, Computing prime factors with a Josephson phase qubit quantum processor. Nature Physics, vol. 8, no. 10, pp. 719–723, Aug. 2012.
- [17] J. A. Smolin, G. Smith, and A. Vargo, Oversimplifying quantum factoring. Nature, vol. 499, no. 7457, pp. 163–5, Jul. 2013.
- [18] C J C Burges, Factoring as Optimization. Microsoft Research, Vol. MSR-TR-200, 2002
- [19] G. Schaller and R. Schutzhold, The role of symmetries in adiabatic quantum algorithm. Quantum Information and Computation, vol. 10, no. 1, pp. 109-140. 2010.

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bwmeta1.element.psjd-160c7d48-5b72-448d-8959-39fdeb6cf551