Physics – Quantum Physics
Scientific paper
2008-08-16
New J. Phys. 10, 113014, (2008)
Physics
Quantum Physics
19 pages, 4figures
Scientific paper
10.1088/1367-2630/10/11/113014
We derive fidelity benchmarks for the quantum storage and teleportation of squeezed states of continuous variable systems, for input ensembles where the degree of squeezing $s$ is fixed, no information about its orientation in phase space is given, and the distribution of phase space displacements is a Gaussian. In the limit where the latter becomes flat, we prove analytically that the maximal classical achievable fidelity (which is 1/2 without squeezing, for $s=1$) is given by $\sqrt{s}/(1+s)$, vanishing when the degree of squeezing diverges. For mixed states, as well as for general distributions of displacements, we reduce the determination of the benchmarks to the solution of a finite-dimensional semidefinite program, which yields accurate, certifiable bounds thanks to a rigorous analysis of the truncation error. This approach may be easily adapted to more general ensembles of input states.
Owari Masaki
Plenio Martin . B.
Polzik Eugene S.
Serafini Alessio
Wolf Manfred
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