Linear optical quantum metrology with single photons --- Experimental errors, resource counting, and quantum Cramér-Rao bounds
arXiv:1610.07128 · doi:10.1103/PhysRevA.96.013810
Abstract
Quantum number-path entanglement is a resource for super-sensitive quantum metrology and in particular provides for sub-shotnoise or even Heisenberg-limited sensitivity. However, such number-path entanglement has thought to have been resource intensive to create in the first place --- typically requiring either very strong nonlinearities, or nondeterministic preparation schemes with feed-forward, which are difficult to implement. Recently in [Phys. Rev. Lett. 114, 170802 (2015)] we showed that number-path entanglement from a BosonSampling inspired interferometer can be used to beat the shot-noise limit. In this manuscript we compare and contrast different interferometric schemes, discuss resource counting, calculate exact quantum Cramér-Rao bounds, and study details of experimental errors.
10 pages, 7 figures
References in corpus (11)
- Detection of 15 dB Squeezed States of Light and their Application for the Absolute Calibration of Photoelectric Quantum Efficiency
- Quantum Optical Metrology -- The Lowdown on High-N00N States
- Photonic Boson Sampling in a Tunable Circuit
- Entanglement-free Heisenberg-limited phase estimation
- Scalable boson sampling with a single-photon device
- Scalable boson-sampling with time-bin encoding using a loop-based architecture
- Linear Optical Quantum Metrology with Single Photons: Exploiting Spontaneously Generated Entanglement to Beat the Shot-Noise Limit
- Generation of Large Number-Path Entanglement Using Linear Optics and Feed-Forward
- High photon number path entanglement in the interference of spontaneously downconverted photon pairs with coherent laser light
- Efficient recycling strategies for preparing large Fock states from single-photon sources --- Applications to quantum metrology
- Reliability of analog quantum simulation
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