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We provide efficient and intuitive tools for deriving bounds on achievable precision in quantum enhanced metrology based on the geometry of quantum channels and semi-definite programming.
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Generalized Limits for Single-Parameter Quantum Estimation
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Shaji, A. & Caves, C. M · 2007
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A quantum-enhanced prototype gravitational-wave detector
Goda, K. et al · 2008
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A fibre bundle over manifolds of quantum channels and its application to quantum statistics
Fujiwara, A. & Imai, H · 2008
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Experimental quantum enhanced phase-estimation in the presence of loss
Kacprowicz, M., Demkowicz-Dobrzanski, R., Wasilewski, W., Banaszek, K. & Walmsley, I. A · 2010
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Phase estimation without a priori phase knowledge in the presence of loss
Kołodyński, J. & Demkowicz-Dobrzański, R · 2010
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On metric of quantum channel spaces
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Advances in quantum metrology
Giovannetti, V., Lloyd, S. & Maccone, L · 2011
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Quantum metrology: Beauty and the noisy beast
Maccone, L. & Giovannetti, V · 2011
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A gravitational wave observatory operating beyond the quantum shot-noise limit
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Napolitano, M., Koschorreck, M., Dubost, B., Behbood, M., Sewell, R. J. & Mitchell, M. W · 2011
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Scaling laws for precision in quantum interferometry and the bifurcation landscape of the optimal state
Knysh, S., Smelyanskiy, V. N. & Durkin, G. A · 2011
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Escher, B. M., de Matos Filho, R. L. & Davidovich, L · 2011
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Quantum interferometry with and without an external phase reference
Jarzyna, M. & Demkowicz-Dobrzanski, R., · 2012
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