Process tomography for unitary quantum channels

Journal of Mathematical Physics

Volumn 55, Issue 3, 2014, Pages

  Gutoski, Gus ^a   Johnston, Nathaniel ^b  

^a PERIMETER INSTITUTE FOR THEORETICAL PHYSICS   (Canada)

^b UNIVERSITY OF WATERLOO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84902279884     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.4867625     Document Type: Article

References (14)

1. J. Chen, H. Dawkins, Z. Ji, N. Johnston, D. W. Kribs, F. Shultz, and B. Zeng, "Uniqueness of quantum states compatible with given measurement results," Phys. Rev. A 88, 012109 (2013); e-print arXiv:1212.3503 [quant-ph].
2. G. Chiribella, G. M. D'Ariano, and P. Perinotti, "Quantum circuits architecture," Phys. Rev. Lett. 101, 060401 (2008); e-print arXiv:0712.1325 [quant-ph].
3. G. Chiribella, G. M. D'Ariano, and P. Perinotti, "Theoretical framework for quantum networks," Phys. Rev. A 80(2), 022339 (2009); e-print arXiv:0904.4483 [quant-ph].
4. C. Carmeli, T. Heinosaari, J. Schultz, and A. Toigo, "Tasks and premises in quantum state determination," J. Phys. A: Math. Theor. 47, 075302 (2014); e-print arXiv:1308.5502 [quant-ph] (2013).
5. T. S. Cubitt, A. Montanaro, and A. Winter, "On the dimension of subspaces with bounded Schmidt rank," J. Math. Phys. 49, 022107 (2008); e-print arXiv:0706.0705 [quant-ph].
6. S. M. Fallat, "Bidiagonal factorizations of totally nonnegative matrices," Am. Math. Mon. 108, 697-712 (2001).
7. G. Gutoski, "On a measure of distance for quantum strategies," J. Math. Phys. 53(3), 032202 (2012); e-print arXiv:1008.4636 [quant-ph].
8. G. Gutoski and J. Watrous, "Toward a general theory of quantum games," in Proceedings of the 39th ACM Symposium on Theory of Computing (STOC 2007) (ACM, 2007), pp. 565-574; e-print arXiv:quant-ph/0611234.
9. T. Heinosaari, L. Mazzarella, and M. M. Wolf, "Quantum tomography under prior information," Commun. Math. Phys. 318, 355-374 (2013); e-print arXiv:1109.5478 [quant-ph].
10. N. Johnston and D.W. Kribs, "Duality of entanglement norms," Houston J.Math. (to be published); e-print arXiv:1304.2328 [quant-ph].
11. R. Jain, S.Upadhyay, and J.Watrous, "Two-message quantum interactive proofs are in PSPACE," in Proceedings of the 50th IEEE Symposium on Foundations of Computer Science (FOCS 2009) (IEEE, 2009), pp. 534-543; e-print arXiv:0905.1300 [quant-ph].
12. S. Kimmel, M. da Silva, C. Ryan, B. Johnson, and T. Ohki, "Robust extraction of tomographic information via randomized benchmarking," preprint arXiv:1306.2348 [quant-ph] (2013).
13. A. Shabani, R. L. Kosut, M. Mohseni, H. Rabitz, M. A. Broome, M. P. Almeida, A. Fedrizzi, and A. G. White, "Efficient measurement of quantum dynamics via compressive sensing," Phys.Rev. Lett. 106, 100401 (2011); e-print arXiv:0910.5498 [quant-ph].
14. M. Ziman, "Process positive-operator-valued measure: A mathematical framework for the description of process tomography experiments," Phys. Rev. A 77(6), 062112 (2008); e-print arXiv:0802.3862 [quant-ph].