Advantages of nonclassical pointer states in postselected weak measurements

Abstract

We investigate, within the weak measurement theory, the advantages of non-classical pointer states over semi-classical ones for coherent, squeezed vacuum, and Schröinger cat states. These states are utilized as pointer state for the system operator $\hat{A}$ with property ${\hat{A}}^2=\hat{I}$, where $\hat{I}$ represents the identity operator. We calculate the ratio between the signal-to-noise ratio (SNR) of non-postselected and postselected weak measurements. The latter is used to find the quantum Fisher information for the above pointer states. The average shifts for those pointer states with arbitrary interaction strength are investigated in detail. One key result is that we find the postselected weak measurement scheme for non-classical pointer states to be superior to semi-classical ones. This can improve the precision of measurement process.

8 pages, 5 figures

References in corpus (8)

• Ultrasensitive Beam Deflection Measurement via Interferometric Weak Value Amplification
• Experimental joint weak measurement on a photon pair as a probe of Hardy's Paradox
• A Quantum-Enhanced Prototype Gravitational-Wave Detector
• Direct observation of Hardy's paradox by joint weak measurement with an entangled photon pair
• Amplification of Angular Rotations Using Weak Measurements
• Optimizing the Signal to Noise Ratio of a Beam Deflection Measurement with Interferometric Weak Values
• Precision frequency measurements with interferometric weak values
• Strange Weak Values

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• Generation of phase-squeezed optical pulses with large coherent amplitudes by post-selection of single photon and weak cross-Kerr non-linearity
• Quantum state engineering using weak measurement
• Influence of squeezing on the weak-to-strong measurement transition
• Auto-correlative weak-value amplification under strong noise background
• Effects of Postselected von Neumann Measurement on the Properties of Single-Mode Radiation Fields
• The power of a control qubit in weak measurements
• Enhancement of nonclassical properties of two-mode squeezed vacuum state with postselected von Neumann measurement
• Single-photon-added coherent state based measurement transition and its advantages in precision measurement
• Effects of postselected von Neumann measurement on nonclassicality of single-photon-added coherent state
• General approach of weak-to-strong measurement transition for Fock-state-based pointer states
• Generalized Modular Value with Nonclassical Pointer States
• Studying the squeezing effect and phase space distribution of single-photon-added coherent state using postselected von Neumann measurement
• Single-Photon-Subtracted-Squeezed-Vacuum-State Based Postselected Weak Measurement and its Applications
• Amplitude-squared squeezing of Schrödinger cat states via Postselected von Neumann Measurement