Teleportation fidelity as a probe of sub-Planck phase-space structure
arXiv:0801.1154 · doi:10.1016/j.aop.2008.01.007
Abstract
We investigate the connection between sub-Planck structure in the Wigner function and the output fidelity of continuous-variable teleportation protocols. When the teleporting parties share a two-mode squeezed state as an entangled resource, high fidelity in the output state requires a squeezing large enough that the smallest sub-Planck structures in an input pure state are teleported faithfully. We formulate this relationship, which leads to an explicit relation between the fine-scale structure in the Wigner function and large-scale extent of the Wigner function, and we treat specific examples, including coherent, number, and random states and states produced by chaotic dynamics. We generalize the pure-state results to teleportation of mixed states.
arXiv comment19 pages, 5 figures
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- Superposing compass states for asymptotic isotropic sub-Planck phase-space sensitivity
- Direct Measurement of Time-Frequency Analogues of Sub-Planck Structures
- Coherent control of mesoscopic superpositions in a diatomic molecule
- Enhanced Quantum Sensitivity in a Vibrating Diatomic Molecule due to Rotational Amendment
- Transition to sub-Planck structures through the superposition of q-oscillator stationary states
- Entanglement thresholds for displaying the quantum nature of teleportation
- Sub-shot-noise sensitivity via superpositions of two deformed kitten states
- Nonclassicality and sub-Planck structures of photon subtracted compass states