Self-calibrating quantum state tomography

New Journal of Physics

Volumn 14, Issue , 2012, Pages

  Branczyk A M ^a   Mahler, D H ^a   Rozema, L A ^a   Darabi, A ^a   Steinberg, A M ^a   James, D F V ^a  

^a UNIVERSITY OF TORONTO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

BIOLOGICAL MOLECULE; DENSITY MATRIX; INCOMPLETE KNOWLEDGE; QUANTUM STATE TOMOGRAPHY; RETARDANCE; ROTATION ANGLES; SELF-CALIBRATING; TRANSITION DIPOLE MOMENTS; TWO PHOTON STATE; UNITARY OPERATION; WAVEPLATES;

LIQUID CRYSTALS; TOMOGRAPHY;

QUANTUM THEORY;

EID: 84865268917     PISSN: 13672630     EISSN: None     Source Type: Journal    
DOI: 10.1088/1367-2630/14/8/085003     Document Type: Article

References (36)

1. Kok P, Munro W J, Nemoto K, Ralph T C, Dowling J P and Milburn G J 2007 Linear optical quantum computing with photonic qubits Rev. Mod. Phys. 79 135
2. Childs A M and van Dam W 2010 Quantum algorithms for algebraic problems Rev. Mod. Phys. 82 1-52
3. NielsenMA and Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press)
4. Bennett C H and Brassard G 1984 Quantum cryptography: public key distribution and coin tossing Proc. IEEE Int. Conf. on Computers, Systems and Signal Processing (Bangalore, India, 1984) (New York: IEEE) pp 175-9
5. James D F V, Kwiat P G, Munro W J and White A G 2001 Measurement of qubits Phys. Rev. A 64 052312
6. Altepeter J B, James D F V and Kwiat P G 2004 Qubit quantum state tomography Quantum State Estimation ed M Paris and J Rehacek (Berlin: Springer) chapter 4
7. Benhelm J, Kirchmair G, Roos C F and Blatt R 2008 Experimental quantum-information processing with 43Ca+ ions Phys. Rev. A 77 062306
8. Engel G S, Calhoun T R, Read E L, Ahn T-K, Mancal T, Cheng Y-C, Blankenship R E and Fleming G R 2007 Evidence for wavelike energy transfer through quantum coherence in photosynthetic systems Nature 446 782-6 (Pubitemid 46582029)
9. Collini E, Wong C Y, Wilk K E, Curmi P M G, Brumer P and Scholes G D 2010 Coherently wired lightharvesting in photosynthetic marine algae at ambient temperature Nature 463 644-7
10. Guyot-Sionnest P 2008 Colloidal quantum dots C. R. Phys. 9 777-87
11. Yuen-Zhou J and Aspuru-Guzik A 2011 Quantum process tomography of excitonic dimers from twodimensional electronic spectroscopy. I. General theory and application to homodimers J. Chem. Phys. 134 134505
12. Yuen-Zhou J, Krich J J, Mohseni M and Aspuru-Guzik A 2011 Quantum state and process tomography of energy transfer systems via ultrafast spectroscopy Proc. Natl Acad. Sci. USA 108 17615-17620
13. Maruyama K, Burgarth D, Ishizaki A, Birgitta Whaley K and Takui T 2011 Hamiltonian tomography of dissipative systems under limited access: a biomimetic case study arXiv:1111.1062v2 [quant-ph]
14. Altepeter J B, Jeffrey E R, Kwiat P G, Tanzilli S, Gisin N and Ac'in A 2005 Experimental methods for detecting entanglement Phys. Rev. Lett. 95 033601
15. Ling A, Pang Soh K, Lamas-Linares A and Kurtsiefer C 2006 Experimental polarization state tomography using optimal polarimeters Phys. Rev. A 74 022309
16. Adamson R B A, Shalm L K, Mitchell MWand Steinberg A M 2007 Multiparticle state tomography: hidden differences Phys. Rev. Lett. 98 043601
17. R̂eháĉek J, Hradil Z, Knill E and Lvovsky A I 2007 Diluted maximum-likelihood algorithm for quantum tomography Phys. Rev. A 75 042108
18. de Burgh M D, Langford N K, Doherty A C and Gilchrist A 2008 Choice of measurement sets in qubit tomography Phys. Rev. A 78 052122
19. Adamson R B A, Turner P S, Mitchell M W and Steinberg A M 2008 Detecting hidden differences via permutation symmetries Phys. Rev. A 78 033832
20. Paris M G A 2009 Quantum estimation for quantum technology Int. J. Quantum Inf. 7 125-37
21. Adamson R B A and Steinberg A M 2010 Improving quantum state estimation with mutually unbiased bases Phys. Rev. Lett. 105 030406
22. Nunn J, Smith B J, Puentes G, Walmsley I A and Lundeen J S 2010 Optimal experiment design for quantum state tomography: fair, precise, and minimal tomography Phys. Rev. A 81 042109
23. Bogdanov Yu I, Brida G, Genovese M, Kulik S P, Moreva E V and Shurupov A P 2010 Statistical estimation of the efficiency of quantum state tomography protocols Phys. Rev. Lett. 105 010404
24. Medendorp Z E D, Torres-Ruiz F A, Shalm L K, Tabia G N M, Fuchs C A and Steinberg A M 2011 Experimental characterization of qutrits using symmetric informationally complete positive operatorvalued measurements Phys. Rev. A 83 051801
25. Yamagata K 2011 Efficiency of quantum state tomography for qubits Int. J. Quantum Inf. 9 1167-83
26. Brida G, Degiovanni I P, Florio A, Genovese M, Giorda P, Meda A, Paris M G A and Shurupov A P 2011 Optimal estimation of entanglement in optical qubit systems Phys. Rev. A 83 052301
27. Asorey M, Facchi P, Florio G, Man'ko V I, Marmo G, Pascazio S and Sudarshan E C G 2011 Robustness of raw quantum tomography Phys. Lett. A 375 861-6
28. Bogdanov Yu I, Brida G, Bukeev I D, Genovese M, Kravtsov K S, Kulik S P, Moreva E V, Soloviev A A and Shurupov A P 2011 Statistical estimation of the quality of quantum-tomography protocols Phys. Rev. A 84 042108
29. Yong S T, Zhu H, Englert B-G, R̂eháĉek J and Hradil Z 2011 Quantum-state reconstruction by maximizing likelihood and entropy Phys. Rev. Lett. 107 020404
30. Yong Siah Teo, Stoklasa B, Englert B-G, R̂eháĉek J and Hradil Z 2012 Incomplete quantum state estimation: a comprehensive study Phys. Rev. A 85 042317
31. Bocquillon E, Couteau C, Razavi M, Laflamme R andWeihs G 2009 Coherence measures for heralded singlephoton sources Phys. Rev. A 79 035801
32. Lofberg J 2004 Yalmip: a toolbox for modeling and optimization in matlab 2004 IEEE Int. Symp. on Computer Aided Control Systems Design pp 284-9 (Pubitemid 40788529)
33. Kwiat P G, Waks E, White A G, Appelbaum I and Eberhard P H 1999 Ultrabright source of polarizationentangled photons Phys. Rev. A 60 R773-6
34. Wootters W K 1998 Entanglement of formation of an arbitrary state of two qubits Phys. Rev. Lett. 80 2245-8 (Pubitemid 128621538)
35. Hildner R, Brinks D and van Hulst N F 2011 Femtosecond coherence and quantum control of single molecules at room temperature Nature Phys. 7 172-7
36. Hildner R, Brinks D, Stefani F D and van Hulst N F 2011 Electronic coherences and vibrational wavepackets in single molecules studied with femtosecond phase-controlled spectroscopy Phys. Chem. Chem. Phys. 13 1888-94