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J. Řeháček, Z. Hradil, and M. Ježek, Iterative algorithm for reconstruction of entangled states, Phys. Rev. A 63, 040303(R) (2001), arXiv.org: quant-ph/0009093.
  1. D.F.V. James, P.G. Kwiat, W.J. Munro, and A.G. White, Measurement of qubits, Phys. Rev. A 64, 052312 (2001).
  2. W. Tittel and G. Weihs, Photonic entanglement for fundamental tests and quantum communication, Quantum Information and Computation 1, 3-56 (2001).
  3. R. Filip, Overlap and entanglement-witness measurements, Phys. Rev. A 65, 062320 (2002).
  4. J. Fiurášek, Encoding the quantum state of cavity mode into an atomic beam, Phys. Rev. A 66, 015801 (2002).
  5. Y. Nambu, K. Usami, Y. Tsuda, K. Matsumoto, and K. Nakamura, Generation of polarization-entangled photon pairs in a cascade of two type-I crystals pumped by femtosecond pulses, Phys. Rev. A 66, 033816 (2002).
  6. Y. Nambu, K. Usami, A. Tomita, S. Ishizaka, T. Hiroshima, Y. Tsuda, K. Matsumoto, and K. Nakamura, Experimental investigation of pulsed entangled photons and photonic quantum channels, In: Quantum Optics in Computing and Communications, Proceedings of SPIE, S. Liu, G. Guo, H.-K. Lo, and N. Imoto (Eds.), 4917, 13-24 (2002), arXiv.org: quant-ph/0210147.
  7. K. Usami, Y. Nambu, Y. Tsuda, K. Matsumoto, and K. Nakamura, A new strategy of quantum-state estimation for achieving the Cramér-Rao bound, arXiv.org: quant-ph/0209074.
  8. K. Usami, Y. Nambu, Y. Tsuda, K. Matsumoto, and K. Nakamura, Accuracy of quantum-state estimation utilizing Akaike's information criterion, Phys. Rev. A 68, 022314 (2003).
  9. S.A. Babichev, B. Brezger, and A.I. Lvovsky, Remote preparation of a single-mode photonic qubit by measuring field quadrature noise, Phys. Rev. Lett. 92, 047903 (2004).
  10. G. Molina-Terriza, A. Vaziri, J. Rehácek, Z. Hradil, A. Zeilinger, Triggered qutrits for quantum communication protocols, Phys. Rev. Lett. 92, 167903 (2004).
  11. S.A. Babichev, J. Appel, and A.I. Lvovsky, Homodyne tomography characterization and nonlocality of a dual-mode optical qubit, Phys. Rev. Lett. 92, 193601 (2004).
  12. A.I. Lvovsky, Iterative maximum-likelihood reconstruction in quantum homodyne tomography, J. Opt. B: Quantum Semiclass. Opt. 6, S556 (2004).
  13. J. Wenger, J. Fiurášek, R. Tualle-Brouri, N.J. Cerf, and P. Grangier, Pulsed squeezed vacuum measurements without homodyning, Phys. Rev. A 70, 053812 (2004).
  14. G.M. D'Ariano and P. Lo Presti, Characterization of quantum devices, Lect. Notes Phys. 649, 297-332 (2004).
  15. S.A. Babichev, J. Appel, and A.I. Lvovsky, Continuous-variable experiments with optical qubits, Proceedings of SPIE 5631, 42 (2005).
  16. C.-P. Yang, S. Han, Extracting an arbitrary realtive phase from a multiqubit two-component entangled state, Phys. Rev. A 72, 01XXXX (2005).
  17. P. Samuelsson and M. Büttiker. Quantum state tomography with quantum shot noise, Phys. Rev. B 73, 041305 (2006).
  18. G. Badurek, P. Facchi, Y. Hasegava, Z. Hradil, S. Pascazio, H. Rauch, J. Rehácek, T. Yoneda, Neutron wave-packet tomography, Phys. Rev. A 73, 032110 (2006).
  19. J.S. Neergaard-Nielsen, B.M. Nielsen, C. Hettich, K. Moelmer, E.S. Polzik, Generation of a superposition of odd photon number states for quantum information networks, Phys. Rev. Lett, 97, 083604 (2006).
  20. M. Hayashi, Quantum statistical inference, Topics Appl. Phys. 102, 45 (2006).
  21. G. Zambra, M.G.A. Paris, Reconstruction of photon-number distribution using low-performance photon counters, Phys. Rev. A 74, 063830 (2006).
  22. A. Ourjoumtsev, A. Dantan, R. Tualle-Brouri, P. Grangier, Increasing entanglement between Gaussian states by coherent photon subtraction, Phys. Rev. Lett. 98, 030502 (2007).
M. Jezek, J. Rehácek, and J. Fiurášek, Finding optimal strategies for minimum-error quantum-state discrimination. Phys. Rev. A 65, 060301(R) (2002), arXiv.org: quant-ph/0201109.
  1. M. Sasaki and A. Carlini, Quantum learning and universal quantum matching machine, Phys. Rev. A 66, 022303 (2002).
  2. D. Qiu, Upper bound on the success probability for unambiguous discrimination. Phys. Lett. A 303, 140 (2002).
  3. H.J. Woerdeman, Checking 2xM quantum separability via semidefinite programming, Phys. Rev. A 67, 010303 (2003).
  4. Y.C. Eldar, A semidefinite programming approach to optimal unambiguous discrimination of quantum states, IEEE Trans. Inform. Theory 49, 446-456 (2003), arXiv.org: quant-ph/0206093, cited as preprint.
  5. Y.C. Eldar, A. Megretski, and G.C. Verghese, Designing optimal quantum detectors via semidefinite programming, IEEE Trans. Inform. Theory 49, 1007-1012 (2003).
  6. Y.C. Eldar, Mixed-quantum-state detection with inconclusive results, Phys. Rev. A 67, 042309 (2003).
  7. F.G.S.L. Brandão and R. O. Vianna, Separable multipartite mixed states: Operational asymptotically necessary and sufficient conditions, Phys. Rev. Lett. 93, 220503 (2004).
  8. J. Eisert, P. Hyllus, O. Guhne, and M. Curty, Complete hierarchies of efficient approximations to problems in entanglement theory, Phys. Rev. A 70, 062317 (2004).
  9. F.G.S.L. Brandão and R. O. Vianna, Robust semidefinite programming approach to the separability problem, Phys. Rev. A 70, 062309 (2004).
  10. J.A. Bergou, U. Herzog, and M. Hillery, Discrimination of quantum states, Lect. Notes Phys. 649, 417-465 (2004).
  11. J. Eisert, Optimizing linear optics quantum gates, Phys. Rev. Lett. 95, 040502 (2005).
  12. L. Mišta and R. Filip, Quantum nondemolition measurement saturates fidelity trade-off, Phys. Rev. A 72, 034307 (2005).
  13. C.-L. Chou, Minimum-error discrimination among mixed quantum states, International J. Quant. Inf. 3, 61 (2005).
  14. P. Hyllus and J. Eisert, Optimal entanglement witnesses for continuous-variable systems, New J. Phys. 8, 51 (2006).
  15. M. Sabuncu, L. Mišta, J. J. Fiurášek, R. Filip, G. Leuchs, U.L. Andersen, Nonunity gain minimal-disturbance measurement, Phys. Rev. A 76, 032309 (2007).
M. Jezek, Discrimination between non perfectly known states. Phys. Lett. A 299, 441 (2002).
  1. J.A. Bergou, U. Herzog, and M. Hillery, Discrimination of quantum states, Lect. Notes Phys. 649, 417-465 (2004).
J. Fiurášek and M. Jezek, Optimal discrimination of mixed quantum states involving inconclusive results, Phys. Rev. A 67, 012321 (2003), arXiv.org: quant-ph/0208126.
  1. Y.C. Eldar, Mixed-quantum-state detection with inconclusive results, Phys. Rev. A 67, 042309 (2003).
  2. T. Rudolph, R.W. Spekkens, and P.S. Turner, Unambiguous discrimination of mixed states, Phys. Rev. A 68, 010301 (2003).
  3. P. Raynal, N. Lutkenhaus, and S.J. van Enk, Reduction theorems for optimal unambiguous state discrimination of density matrices, Phys. Rev. A 68, 022308 (2003).
  4. Y. C. Eldar, A. Megretski, and G. C. Verghese, Optimal detection of symmetric mixed quantum states. IEEE Trans. Inform. Theory 50, 1198 (2004).
  5. Y.C. Eldar, M. Stojnic, and B. Hassibi, Optimal quantum detectors for unambiguous detection of mixed states, Phys. Rev. A 69, 062318 (2004).
  6. Y.-A. Feng, R.-Y. Duan, and M.-S. Ying, Unambiguous discrimination between mixed quantum states, Phys. Rev. A 70, 012308 (2004).
  7. U. Herzog and J.A. Bergou, Distinguishing mixed quantum states: Minimum-error discrimination versus optimum unambiguous discrimination, Phys. Rev. A 70, 022302 (2004).
  8. J.A. Bergou, U. Herzog, and M. Hillery, Discrimination of quantum states, Lect. Notes Phys. 649, 417-465 (2004).
  9. Y. Feng, R.-Y. Duan, and Z.-F. Ji, Condition and capability of quantum state separation, Phys. Rev. A 72, 012313 (2005).
  10. J.A. Bergou and M. Hillery, Quantum-state filtering applied to the discrimination of Boolean functions, Phys. Rev. A 72, 012302 (2005).
  11. C. Zhang, Y.-A. Feng, and M.-S. Ying, Unambiguous discrimination of mixed quantum states, Phys. Lett. A 353, 300 (2006).
M. Jezek, J. Fiurášek, and Z. Hradil, Quantum inference of states and processes, Phys. Rev. A 68, 012305 (2003), arXiv.org: quant-ph/0210146.
  1. D.K.L. Oi, Interference of quantum channels, Phys. Rev. Lett. 91, 067902 (2003). Cited as preprint.
  2. J.L. O'Brien, G.J. Pryde, A. Gilchrist, D.F.V. James, N.K. Langford, T.C. Ralph, and A.G. White, Quantum process tomography of a controlled-NOT gate, Phys. Rev. Lett. 93, 080502 (2004).
  3. T. Ziman, M. Plesch, and V. Buzek, Process reconstruction from incomplete and/or inconsistent data, Eur. Phys. J. D 32, 215 (2005).
  4. M. Howard, J. Twamley, C. Wittmann, T. Gaebel, F. Jelezko, and J. Wrachtrup, Quantum process tomography and Linblad estimation of a solid-state qubit, New J. Phys. 8, 33 (2006).
  5. T. Ziman, M. Plesch, and V. Buzek, Reconstruction of superoperators from incomplete measurements, Foundations Phys. 36, 127 (2006).
  6. G.-Y. Xiang, J. Li, and G.-C. Guo, Interference of quantum channels in a single photon interferometer, arXiv: quant-ph/0607180 (2006).
  7. J.K. Korbicz, O. Gühne, M. Lewenstein, H. Häffner, C.F. Roos, and R. Blatt, Generalized spin-squeezing inequalities in N-qubit system: Theory and experiment, Phys. Rev. A 74, 052319 (2006).
  8. M. Riebe, K. Kim, P. Schindler, T. Monz, P.O. Schmidt, T. Körber, W. Hänsel, H. Häffner, C.F. Roos, and R. Blatt, Process tomography of ion trap quantum gates, Phys. Rev. Lett. 97, 220407 (2006).
  9. M. Riebe, M. Chwalla, J. Benhelm, H. Häffner, W. Hänsel, C.F. Roos, and R. Blatt, Quantum teleportation with atoms: Quantum process tomography, New J. Phys. 9, 211 (2007).
  10. R. Chakrabarti, H. Rabitz, Quantum control landscapes, Int. Rev. Phys. Chemistry 26, 671 (2007).
M. Jezek and Z. Hradil, Reconstruction of spatial, phase and coherence properties of light, J. Opt. Soc. A 21, 081407 (2004).
  1. C.Q. Tran, A.G. Peele, A. Roberts, K.A. Nugent, D. Paterson, and I. McNulty, X-ray imaging: A generalized approach using phase-space tomography, J. Opt. Soc. Am. A 22, 1691 (2005).
  2. C. Rydberg and J. Bengtsson, Numerical algorithm for the retrieval of spatial coherence properties of partially coherent beams from transverse intensity measurements, Optics Express 15, 13613 (2007).
Z. Hradil, J. Rehácek, J. Fiurášek, and M. Jezek, Maximum-likelihod methods in quantum mechanics, Lecture Notes in Physics 649, 59-112 (Springer-Verlag, Berlin Heidelberg 2004).
  1. V. Buzek, Quantum tomography from incomplete data via MaxEnt principle, Lect. Notes Phys. 649, 189-234 (2004).
  2. T. Ziman, M. Plesch, V. Buzek, and P. Štelmachovic, Process reconstruction: From unphysical to physical maps via maximum likelihood, Phys. Rev. A 72, 022106 (2005).
  3. H. Häffner, W. Hänsel, C.F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Körber, U. D. Rapol, M. Riebe, P.O. Schmidt, C. Becher, O. Gühne, W. Dür, and R. Blatt, Scalable multiparticle entanglement of trapped ions, Nature (London) 438, 643-646 (2005).
  4. R. Blume-Kohout, Optimal reliable estimation of quantum states, arXiv: quant-ph/0611080 (2006).
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Miroslav Jezek, Nathan; optics.upol.cz/jezek, www.photonoptics.eu/jezek; keywords: Department of Optics, Palacky University, UP, Olomouc, Czech Republic, light, optics, quantum optics, nonlinear optics, optical, wave, quantum, photon, photonics, photonic, laser, vortex, beam, detector, electronics, electronic, multi-photon, teleportation, sub-Rayleigh, imaging;