Open Access

Evaluating Machine Learning Approaches for Discovering Optimal Sets of Projection Operators for Quantum State Tomography of Qubit Systems

Cybernetics and Information Technologies's Cover Image
Cybernetics and Information Technologies
Special Issue on New Developments in Scalable Computing

Cite

1. Roos, C. F., G. P. T. Lancaster, M. Riebe, H. Häffner, W. Hänsel, S. Gulde, C. Becher, J. Eschner, F. Schmidt-Kaler, R. Blatt. Bell States of Atoms with Ultralong Lifetimes and Their Tomographic State Analysis. – Phys. Rev. Lett., Vol. 92, 2004, 220402.10.1103/PhysRevLett.92.220402Search in Google Scholar

2. O’Brien, J. L., G. J. Pryde, A. G. White, T. C. Ralph, D. Branning. Demonstration of an All-Optical Quantum Controlled-NOT Gate. – Nature, Vol. 426, 2003, pp. 264-267.10.1038/nature02054Search in Google Scholar

3. Steffen, M., M. Ansmann, R. McDermott, N. Katz, R. C. Bialczak, E. Lucero, M. Neeley, E. M. Weig, A. N. Cleland, J. M. Martinis. State Tomography of Capacitively Shunted Phase Qubits with High Fidelity. – Phys. Rev. Lett., Vol. 97, 2006, 050502.10.1103/PhysRevLett.97.050502Search in Google Scholar

4. Foletti, S., H. Bluhm, D. Mahalu, V. Umansky, A. Yacoby. – Nature Physics, Vol. 5, 2009, pp. 903-908.10.1038/nphys1424Search in Google Scholar

5. Zauner, G. Quantendesigns. Doctoral Thesis, 1999. English Translation Published as Quantum Designs: Foundations of a Noncommutative Design Theory. – Int. J. Quantum Inf., Vol. 9, 2011, No 1, pp. 445-507.10.1142/S0219749911006776Search in Google Scholar

6. Řeháček, J., B.-G. Englert, D. Kaszlikowski. Minimal Qubit Tomography. – Phys. Rev. A, Vol. 70, 2004, 052321.10.1103/PhysRevA.70.052321Search in Google Scholar

7. Renes, J. M., R. Blume-Kohout, A. J. Scott, C. M. Caves. Symmetric Informationally Complete Quantum Measurements. – J. Math. Phys., Vol. 45, 2004, pp. 2171-2180.10.1063/1.1737053Search in Google Scholar

8. Wootters, W. K., B. D. Fields. Optimal State-Determination by Mutually Unbiased Measurements. – Ann. Phys., Vol. 191, 1989, pp. 363-381.10.1016/0003-4916(89)90322-9Search in Google Scholar

9. Bodmann, B. G., J. I. Haas. Maximal Orthoplectic Fusion Frames from Mutually Unbiased Bases and Block Designs. – Proc. Amer. Math. Soc., Vol. 146, 2018, pp. 2601-2616.10.1090/proc/13956Search in Google Scholar

10. Rohling, N., G. Burkard. Tomography Scheme for Two Spin-1/2 Qubits in a Double Quantum Dot. – Phys. Rev. B, Vol. 88, 2013, 085402.10.1103/PhysRevB.88.085402Search in Google Scholar

11. Ivanova-Rohling, V. N., N. Rohling. Optimal Choice of State Tomography Quorum Formed by Projection Operators. – Phys. Rev. A, Vol. 100, 2019, 032332.10.1103/PhysRevA.100.032332Search in Google Scholar

12. Akbar, Z., V. N. Ivanova, M. R. Berthold. Parallel Data Mining Revisited. Better, Not Faster. – In: J. Hollmén, F. Klawonn, A. Tucker, Eds. Advances in Intelligent Data Analysis XI. IDA 2012. Lecture Notes in Computer Science. Vol. 7619. Berlin, Heidelberg, Springer, 2012, pp. 23-34.10.1007/978-3-642-34156-4_4Search in Google Scholar

13. Ivanova, V. N., M. R. Berthold. Diversity-Driven Widening. – In: A. Tucker, F. Höppner, A. Siebes, S. Swift, Eds. Advances in Intelligent Data Analysis XII. IDA 2013. Lecture Notes in Computer Science, Vol. 8207. Berlin, Heidelberg, Springer, 2013, pp. 223-236.10.1007/978-3-642-41398-8_20Search in Google Scholar

14. Ivanova-Rohling, V. N. Communication-Less Strategies for the Widening of Rule Induction. – In: B. Rachev, A. Smrikarov, Eds. Proc. of 19th International Conference on Computer Systems and Technologies, Association for Computing Machinery, New York, 2018, pp. 33-37.10.1145/3274005.3274033Search in Google Scholar

15. Ivanova-Rohling, V. N. Neighborhood-Based Strategies for Widening of the Greedy Algorithm of the Set Cover Problem. – In: B. Rachev, A. Smrikarov, Eds. Proc. of 19th International Conference on Computer Systems and Technologies, Association for Computing Machinery, New York, 2018, pp. 27-32.10.1145/3274005.3274036Search in Google Scholar

16. Powell, M. J. D. An Efficient Method for Finding the Minimum of a Function of Several Variables without Calculating Derivatives. – The Computer Journal, Vol. 7, 1964, pp. 155-162.10.1093/comjnl/7.2.155Search in Google Scholar

17. Lillicrap, T. P., J. J. Hunt, A. Pritzel, N. Heess, T. Erez, Y. Tassa, D. Silver, D. Wierstra. Continuous Control with Deep Reinforcement Learning. – arXiv Preprint, 2015, arXiv:1509.02971.Search in Google Scholar

18. Hill, A., A. Raffin, M. Ernestus, A. Gleave, A. Kanervisto, R. Traore, P. Dhariwal, C. Hesse, O. Klimov, A. Nichol, M. Plappert, A. Radford, J. Schulman, S. Sidor, Y. Wu. Stable Baselines. – GitHub Repository, 2018. https://github.com/hill-a/stable-baselinesSearch in Google Scholar

19. Brockman, G., V. Cheung, L. Pettersson, J. Schneider, J. Schulman, J. Tang, W. Zaremba. OpenAI Gym. – arXiv Preprint, 2016, arXiv:1606.01540.Search in Google Scholar

eISSN:
1314-4081
Language:
English
Publication timeframe:
4 times per year
Journal Subjects:
Computer Sciences, Information Technology