Reconstructing the quantum state of oscillator networks with a single qubit

Tommaso Tufarelli*, Alessandro Ferraro, M. S. Kim, Sougato Bose

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

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 languageEnglish
Article number032334
Number of pages10
JournalPhysical Review A (Atomic, Molecular, and Optical Physics)
Volume85
Issue number3
DOIs
Publication statusPublished - 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

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