Entanglement-assisted tomography of a quantum target
arXiv:1107.5545 · doi:10.1088/1751-8113/45/10/105309
Abstract
We study the efficiency of quantum tomographic reconstruction where the system under investigation (quantum target) is indirectly monitored by looking at the state of a quantum probe that has been scattered off the target. In particular we focus on the state tomography of a qubit through a one-dimensional scattering of a probe qubit, with a Heisenberg-type interaction. Via direct evaluation of the associated quantum Cramér-Rao bounds, we compare the accuracy efficiency that one can get by adopting entanglement-assisted strategies with that achievable when entanglement resources are not available. Even though sub-shot noise accuracy levels are not attainable, we show that quantum correlations play a significant role in the estimation. A comparison with the accuracy levels obtainable by direct estimation (not through a probe) of the quantum target is also performed.
22 pages, 9 figures
References in corpus (15)
- Advances in Quantum Metrology
- Experimental Quantum State Tomography of Optical Fields and Ultrafast Statistical Sampling
- Quantum Illumination with Gaussian States
- Estimation of unitary quantum operations
- Entanglement of Two Impurities through Electron Scattering
- Entanglement Controlled Single-Electron Transmittivity
- Resonant Scattering Can Enhance the Degree of Entanglement
- Extraction of Singlet States from Noninteracting High-Dimensional Spins
- Implementing quantum gates through scattering between a static and a flying qubit
- Efficient Generation of a Maximally Entangled State by Repeated On- and Off-Resonant Scattering of Ancilla Qubits
- Experimental realization of programmable quantum gate
- Reducing quantum control for spin-spin entanglement distribution
- Physical model for the generation of ideal resources in multipartite quantum networking
- Extraction of an Entanglement by Repetition of the Resonant Transmission of an Ancilla Qubit
- State Tomography of a Qubit through Scattering of a Probe Qubit