Advances in quantum metrology

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Fujiwara, A. Quantum channel identification problem. Phys. Rev. A 63, 042304 (2001).

Hayashi, M. Comparison between the Cramér–Rao and the mini-max approaches in quantum channel estimation. Preprint at http://arxiv.org/abs/1003.4575 (2010).

Fujiwara, A. & Imai, H. Quantum parameter estimation of a generalized Pauli channel. J. Phys. A 36, 8093–8103 (2003).

Fischer, D. G., Mack, H., Cirone, M. A. & Freyberger, M. Enhanced estimation of a noisy quantum channel using entanglement. Phys. Rev. A 64, 022309 (2001).

Fujiwara, A. Estimation of SU(2) operation and dense coding: An information geometric approach. Phys. Rev. A 65, 012316 (2002).

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de Burgh, M. & Bartlett, S. D. Quantum methods for clock synchronization: Beating the standard quantum limit without entanglement. Phys. Rev. A 72, 042301 (2005).

Chiribella, G., D'Ariano, G. M., Perinotti, P. & Sacchi, M. F. Efficient use of quantum resources for the transmission of a reference frame. Phys. Rev. Lett. 93, 180503 (2004).

Bagan, E., Baig, M. & Munoz-Tapia, R. Quantum reverse-engineering and reference frame alignment without non-local correlations. Phys. Rev. A 70, 030301 (2004).

Hayashi, M. Parallel treatment of estimation of SU(2) and phase estimation. Phys. Lett. A 354, 183–189 (2006).

van Dam, W., D'Ariano, G. M., Ekert, A., Macchiavello, C. & Mosca, M. Optimal quantum circuits for general phase estimation. Phys. Rev. Lett. 98, 090501 (2007).

Giovannetti, V., Lloyd, S. & Maccone, L. Quantum metrology. Phys. Rev. Lett. 96, 010401 (2006).

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Sasaki, M., Ban, M. & Barnett, S. M. Optimal parameter estimation of depolarizing channel. Phys. Rev. A 66, 022308 (2002).

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Luis, A. Phase-shift amplification for precision measurements without nonclassical states. Phys. Rev. A 65, 025802 (2002).

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Leibfried, D. et al. Toward Heisenberg-limited spectroscopy with multiparticle entangled states. Science 304, 1476–1478 (2004).

Leibfried, D. et al. Creation of a six-atom 'Schrödinger-cat' state. Nature 438, 639–642 (2005).

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Hayashi, M. Phase estimation with photon number constraint. Preprint at http://arxiv.org/abs/1011.2546 (2010).

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Kok, P., Lee, H. & Dowling, J. P. Creation of large-photon-number path entanglement conditioned on photodetection. Phys. Rev. A 65, 052104 (2002).

Pryde, G. J. & White, A. G. Creation of maximally entangled photon-number states using optical fiber multiports. Phys. Rev. A 68, 052315 (2003).

Cable, H. & Dowling, J. P. Efficient generation of large number-path entanglement using only linear optics and feed-forward. Phys. Rev. Lett. 99, 163604 (2007).

Mitchell, M. W., Lundeen, J. S. & Steinberg, A. M. Super-resolving phase measurements with a multiphoton entangled state. Nature 429, 161–164 (2004).

Lamas-Linares, A., Howell, J. C. & Bouwmeester D. Stimulated emission of polarization-entangled photons. Nature 412, 887–890 (2001).

D'Angelo, M., Chekhova, M. V. & Shih, Y. Two-photon diffraction and quantum lithography. Phys. Rev. Lett. 87, 013602 (2001).

Walther, P. et al. De Broglie wavelength of a non-local four-photon state. Nature 429, 158–161 (2004).

Nagata, T., Okamoto, R., O'Brien, J. L., Sasaki, K. & Takeuchi, S. Beating the standard quantum limit with four-entangled photons. Science 316, 726–729 (2007).

Okamoto, R. et al. Beating the standard quantum limit: Phase super-sensitivity of N-photon interferometers. New J. Phys. 10, 073033 (2008).

Kacprowicz, M., Demkowicz-Dobrzanski, R., Wasilewski, W., Banaszek, K. & Walmsley, I. A. Experimental quantum-enhanced estimation of a lossy phase shift. Nature Photon. 4, 357–360 (2010).

Hofmann, H. F. & Ono, T. High-photon-number path entanglement in the interference of spontaneously down-converted photon pairs with coherent laser light. Phys. Rev. A 76, 031806(R) (2007).

Ono, T. & Hofmann, H. F. Effects of photon losses on phase estimation near the Heisenberg limit using coherent light and squeezed vacuum. Phys. Rev. A 81, 033819 (2010).

Afek, I., Ambar, O. & Silberberg, Y. High-NOON states by mixing quantum and classical light. Science 328, 879–881 (2010).

Pezzé, L. & Smerzi, A. Mach–Zehnder interferometry at the Heisenberg limit with coherent and squeezed-vacuum light. Phys Rev. Lett. 100, 073601 (2008).

Monras, A. Optimal phase measurements with pure Gaussian states. Phys. Rev. A 73, 033821 (2006).

Cable, H. & Durkin, G. A. Parameter estimation with entangled photons produced by parametric down-conversion. Phys. Rev. Lett. 105, 013603 (2010).

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Pezzé, L. & Smerzi, A. Sub shot-noise interferometric phase sensitivity with beryllium ions Schrödinger cat states. Europhys. Lett. 78, 30004 (2007).

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Luis, A. Nonlinear transformations and the Heisenberg limit. Phys. Lett. A 329, 8–13 (2004).

Beltrán, J. & Luis, A. Breaking the Heisenberg limit with inefficient detectors. Phys. Rev. A 72, 045801 (2005).

Luis, A., Quantum limits, nonseparable transformations, and nonlinear optics. Phys. Rev. A 76, 035801 (2007).

Boixo, S., Flammia, S. T., Caves, C. M. & Geremia, J. Generalized limits for single-parameter quantum estimation. Phys. Rev. Lett. 98, 090401 (2007).

Boixo, S. et al. Quantum-limited metrology with product states. Phys. Rev. A 77, 012317 (2008).

Boixo, S. et al. Quantum metrology: Dynamics versus entanglement. Phys. Rev. Lett. 101, 040403 (2008).

Woolley, M. J., Milburn, G. J. & Caves, C. M. Nonlinear quantum metrology using coupled nanomechanical resonators. New J. Phys. 10, 125018 (2008).

Roy, S. M. & Braunstein, S. L. Exponentially enhanced quantum metrology. Phys. Rev. Lett. 100, 220501 (2008).

Chase, B. A., Baragiola, B. Q., Partner, H. L., Black, B. D. & Geremia, J. M. Magnetometry via a double-pass continuous quantum measurement of atomic spin. Phys. Rev. A 79, 062107 (2009).

Choi, S. & Sundaram, B. Bose–Einstein condensate as a nonlinear Ramsey interferometer operating beyond the Heisenberg limit. Phys. Rev. A 77, 053613 (2008).

Maldonado-Mundo, D. & Luis, A. Metrological resolution and minimum uncertainty states in linear and nonlinear signal detection schemes. Phys. Rev. A 80, 063811 (2009).

Rey, A. M., Jiang, L. & Lukin, M. D. Quantum-limited measurements of atomic scattering properties. Phys. Rev. A 76, 053617 (2007).

Tilma, T., Hamaji, S., Munro, W. J. & Nemoto, K. Entanglement is not a critical resource for quantum metrology. Phys. Rev. A 81, 022108 (2010).

Rivas, A. & Luis, A. Intrinsic metrological resolution as a distance measure and nonclassical light. Phys. Rev. A 77, 063813 (2008).

Rivas, A. & Luis, A. Precision quantum metrology and nonclassicality in linear and nonlinear detection schemes. Phys. Rev. Lett. 105, 010403 (2010).

Napolitano, M. & Mitchell, M. W. Non-linear metrology with a quantum interface. New J. Phys. 12, 093016 (2010).

Napolitano, M. et al. Interaction-based quantum metrology showing scaling beyond the Heisenberg limit. Preprint at http://arxiv.org/abs/1012.5787 (2010).

Shabaniand, A. & Jacobs, K. Locally optimal control of quantum systems with strong feedback. Phys. Rev. Lett. 101, 230403 (2008).

Zwierz, M., Pérez-Delgado, C. A. & Kok, P. General optimality of the Heisenberg limit for quantum metrology. Phys. Rev. Lett. 105, 180402 (2010).

Gilbert, G., Hamrick, M. & Weinstein, Y. S. Use of maximally entangled N-photon states for practical quantum interferometry. J. Opt. Soc. Am. B 25, 1336–1340 (2008).

Rubin, M. A. & Kaushik, S. Loss-induced limits to phase measurement precision with maximally entangled states. Phys. Rev. A 75, 053805 (2007).

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Kolodynski, J. & Demkowicz-Dobrzanski, R. Phase estimation without a priori phase knowledge in the presence of loss. Phys. Rev. A 82, 053804 (2010).

Knysh, S., Smelyanskiy, V. N. & Durkin, G. A. Scaling laws for precision in quantum interferometry and the bifurcation landscape of the optimal state. Phys. Rev. A 83, 021804(R) (2011).

Huver, S. D., Wildfeuer, C. F. & Dowling, J. P. Entangled Fock states for robust quantum optical metrology, imaging, and sensing. Phys. Rev. A 78, 063828 (2008).

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Demkowicz-Dobrzanski, R. et al. Quantum phase estimation with lossy interferometers. Phys. Rev. A 80, 013825 (2009).

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