TY - JOUR
T1 - Quantum parameter estimation using general single-mode Gaussian states
AU - Pinel, O.
AU - Jian, P.
AU - Treps, N.
AU - Fabre, C.
AU - Braun, D.
PY - 2013/10/31
Y1 - 2013/10/31
N2 - We calculate the quantum Cramér-Rao bound for the sensitivity with which one or several parameters, encoded in a general single-mode Gaussian state, can be estimated. This includes in particular the interesting case of mixed Gaussian states. We apply the formula to the problems of estimating phase, purity, loss, amplitude, and squeezing. In the case of the simultaneous measurement of several parameters, we provide the full quantum Fisher information matrix. Our results unify previously known partial results and constitute a complete solution to the problem of knowing the best possible sensitivity of measurements based on a single-mode Gaussian state.
AB - We calculate the quantum Cramér-Rao bound for the sensitivity with which one or several parameters, encoded in a general single-mode Gaussian state, can be estimated. This includes in particular the interesting case of mixed Gaussian states. We apply the formula to the problems of estimating phase, purity, loss, amplitude, and squeezing. In the case of the simultaneous measurement of several parameters, we provide the full quantum Fisher information matrix. Our results unify previously known partial results and constitute a complete solution to the problem of knowing the best possible sensitivity of measurements based on a single-mode Gaussian state.
UR - http://www.scopus.com/inward/record.url?scp=84887084525&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.88.040102
DO - 10.1103/PhysRevA.88.040102
M3 - Article
SN - 1050-2947
VL - 88
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 4
M1 - 040102
ER -