## Abstract

We introduce a scheme to reconstruct arbitrary states of networks composed of quantum oscillators-e. g., the motionalstate of trapped ions or the radiation state of coupled cavities. The scheme involves minimal resources and minimal access, in the sense that it (i) requires only the interaction between a one-qubit probe and a single node of the network; (ii) provides the Weyl characteristic function of the network directly from the data, avoiding any tomographic transformation; (iii) involves the tuning of only one coupling parameter. In addition, we show that a number of quantum properties can be extracted without full reconstruction of the state. The scheme can be used for probing quantum simulations of anharmonic many-body systems and quantum computations with continuous variables. Experimental implementation with trapped ions is also discussed and shown to be within reach of current technology.

Original language | English |
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Article number | 032334 |

Number of pages | 10 |

Journal | Physical Review A (Atomic, Molecular, and Optical Physics) |

Volume | 85 |

Issue number | 3 |

DOIs | |

Publication status | Published - 30 Mar 2012 |

## Keywords

- OBSERVABLE CRITERION
- NONCLASSICAL STATES
- CONTINUOUS-VARIABLES
- TRAPPED IONS
- ENTANGLEMENT
- COMPUTATION
- TOMOGRAPHY
- RESONATOR
- DYNAMICS
- ARRAYS

## ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics