Feasibility of a quantum memory for continuous variables based on trapped ions: from generic criteria to practical implementation

We propose to use a large cloud of cold trapped ions as a medium for quantum optics and quantum information experiments. Contrary to most recent realizations of qubit manipulation based on a small number of trapped and cooled ions, we study the case of traps containing a macroscopic number of ions. We first introduce the generic criteria involved with the operation of quantum memories that store quantum information associated with continuous variables. Then we study the impact of relevant physical parameters on the expected performances of a memory implemented with cold trapped ions