Reconstructing the quantum state of oscillator networks with a single qubit
arXiv:1109.2022 · doi:10.1103/PhysRevA.85.032334
Abstract
We introduce a scheme to reconstruct arbitrary states of networks composed of quantum oscillators--e.g., the motional state of trapped ions or the radiation state of coupled cavities. The scheme uses minimal resources, in the sense that it i) requires only the interaction between one-qubit probe and one constituent of the network; ii) provides the reconstructed state 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.
11 pages, 4 figures
References in corpus (21)
- Photonic quantum technologies
- Strongly Interacting Polaritons in Coupled Arrays of Cavities
- Universal Quantum Computation with Continuous-Variable Cluster States
- Experimental Quantum State Tomography of Optical Fields and Ultrafast Statistical Sampling
- Entanglement in continuous variable systems: Recent advances and current perspectives
- Reconstruction of non-classical cavity field states with snapshots of their decoherence
- Photon blockade induced Mott transitions and XY spin models in coupled cavity arrays
- Time-reversal symmetry breaking in circuit-QED based photon lattices
- Dirac Equation and Quantum Relativistic Effects in a Single Trapped Ion
- Coupled quantized mechanical oscillators
- Pulsed quantum optomechanics
- Gaussian states in continuous variable quantum information
- Spin squeezing of atomic ensembles via nuclear-electronic spin entanglement
- Trapped-ion antennae for the transmission of quantum information
- Tunable coupling in circuit quantum electrodynamics with a superconducting V-system
- Directly estimating non-classicality
- Nanofriction in Cold Ion Traps
- Analogue of cosmological particle creation in an ion trap
- Coherent Control of a Superconducting Qubit with Dynamically Tunable Qubit-cavity Coupling
- Gapped Two-Body Hamiltonian for continuous-variable quantum computation
- Oscillator state reconstruction via tunable qubit coupling in Markovian environments
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- Quantum State Reconstruction of an Oscillator Network in an Optomechanical Setting
- Quantum speed limits in arbitrary phase spaces
- Local probe for connectivity and coupling strength in quantum complex networks
- Unified framework to determine Gaussian states in continuous variable systems
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