Phase Sensitivity of a Mach-Zehnder Interferometer
arXiv:quant-ph/0511059 · doi:10.1103/PhysRevA.73.011801
Abstract
The best performance of a Mach-Zehnder interferometer is achieved with the input state |N_T/2 + 1>|N_T/2-1 > + |N_T/2 - 1>|N_T/2+1>, being N_T the total number of atoms/photons. This gives: i) a phase-shift error confidence C_{68%}=2.67/N_T with ii) a single interferometric measurement. Different input quantum states can achieve the Heisenberg scaling ~ 1/N_T but with higher prefactors and at the price of a statistical analysis of two or more independent measurements.
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References in corpus (11)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Direct Observation of Tunneling and Nonlinear Self-Trapping in a single Bosonic Josephson Junction
- Quantum Interferometric Optical Lithography: Exploiting Entanglement to Beat The Diffraction Limit
- Super-resolving phase measurements with a multi-photon entangled state
- An Electronic Mach-Zehnder Interferometer
- De Broglie Wavelength of a Nonlocal Four-Photon
- An Atom Michelson Interferometer on a Chip Using a Bose-Einstein Condensate
- Optimal states and almost optimal adaptive measurements for quantum interferometry
- Optical Weak Link between Two Spatially Separate Bose-Einstein Condensates
- Parameters estimation in quantum optics
- Quantum interference of ultrastable twin optical beams
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