Phase matching condition for enhancement of phase sensitivity in quantum metrology

Abstract

We find a phase matching condition for enhancement of sensitivity in a Mach-Zehnder interferometer illuminated by an arbitrary state in one input port and an odd(even) state in the other port. Under this condition, the Fisher information becomes maximal with respect to the relative phase of two modes and the phase sensitivity is enhanced. For the case with photon losses, we further find that the phase matching condition keeps unchanged with a coherent state and a coherent superposition state as the input states.

arXiv comment4 pages, 2 figures

References in corpus (31)

• Advances in Quantum Metrology
• Quantum metrology
• General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology
• Atom chip based generation of entanglement for quantum metrology
• Beating the Standard Quantum Limit with Four Entangled Photons
• Squeezing and entanglement in a Bose-Einstein condensate
• Quantum Metrology in Non-Markovian Environments
• Quantum metrology with entangled coherent states
• Optimal Quantum Phase Estimation
• Quantum Metrology with Two-Mode Squeezed Vacuum: Parity Detection Beats the Heisenberg Limit
• Mesoscopic atomic entanglement for precision measurements beyond the standard quantum limit
• Mach-Zehnder Interferometry at the Heisenberg Limit with coherent and squeezed-vacuum light
• Quantum phase estimation with lossy interferometers
• Entangled Fock states for Robust Quantum Optical Metrology, Imaging, and Sensing
• Optical phase estimation in the presence of phase-diffusion
• Optimal quantum estimation of loss in bosonic channels
• How to perform the most accurate possible phase measurements
• Quantum interferometry with and without an external phase reference
• Extremal properties of the variance and the quantum Fisher information
• The parity operator in quantum optical metrology
• Coherent and Squeezed Vacuum Light Interferometry: Parity detection hits the Heisenberg limit
• Optimization of quantum interferometric metrological sensors in the presence of photon loss
• Squeezing Inequalities and Entanglement for Identical Particles
• Fast rate estimation of an unitary operation in SU(d)
• Quantum-limited metrology in the presence of collisional dephasing
• Broadcasting Quantum Fisher Information
• Lossy Quantum Optical Metrology with Squeezed States
• Hierarchy of measurement-induced Fisher information for composite states
• Majorization relations and entanglement generation in a beam splitter
• Mixed state Pauli channel parameter estimation
• Channel Estimation Theory of Low-Noise Multiple Parameters:Attainablity Problem of the Cram{é}r-Rao Bounds

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• Fundamental quantum limits in optical metrology from rate-distortion theory
• Weak measurement effect on optimal estimation with lower and upper bound on relativistic metrology
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