Quantum Benchmarks for Pure SingleMode Gaussian States
Abstract
Teleportation and storage of continuous variable states of light and atoms are essential building blocks for the realization of largescale quantum networks. Rigorous validation of these implementations require identifying, and surpassing, benchmarks set by the most effective strategies attainable without the use of quantum resources. Such benchmarks have been established for special families of input states, like coherent states and particular subclasses of squeezed states. Here we solve the longstanding problem of defining quantum benchmarks for general pure Gaussian singlemode states with arbitrary phase, displacement, and squeezing, randomly sampled according to a realistic prior distribution. As a special case, we show that the fidelity benchmark for teleporting squeezed states with totally random phase and squeezing degree is 1/2, equal to the corresponding one for coherent states. We discuss the use of entangled resources to beat the benchmarks in experiments.
 Publication:

Physical Review Letters
 Pub Date:
 January 2014
 DOI:
 10.1103/PhysRevLett.112.010501
 arXiv:
 arXiv:1308.2146
 Bibcode:
 2014PhRvL.112a0501C
 Keywords:

 03.67.Hk;
 42.50.Dv;
 Quantum communication;
 Nonclassical states of the electromagnetic field including entangled photon states;
 quantum state engineering and measurements;
 Quantum Physics;
 Condensed Matter  Quantum Gases;
 Mathematical Physics;
 Physics  Data Analysis;
 Statistics and Probability;
 Physics  Optics
 EPrint:
 5 + 7 pages, 3 figures