Measuring incompatible observables of a single photon

Abstract

One of the most intriguing aspects of Quantum Mechanics is the impossibility of measuring at the same time observables corresponding to non-commuting operators. This impossibility can be partially relaxed when considering joint or sequential weak values evaluation. Indeed, weak measurements have been a real breakthrough in the quantum measurement framework that is of the utmost interest from both a fundamental and an applicative point of view. Here we show how we realized, for the first time, a sequential weak value evaluation of two incompatible observables on a single photon.

5 pages, 3 figures

References in corpus (27)

• Ultrasensitive Beam Deflection Measurement via Interferometric Weak Value Amplification
• Direct Measurement of the Quantum Wavefunction
• Colloquium: Understanding Quantum Weak Values: Basics and Applications
• Quantum weak values
• Nonperturbative theory of weak pre- and post-selected measurements
• Violation of Heisenberg's Measurement-Disturbance Relationship by Weak Measurements
• Direct measurement of general quantum states using weak measurement
• Violation of the Leggett-Garg inequality with weak measurements of photons
• Revisiting Hardy's Paradox: Counterfactual Statements, Real Measurements, Entanglement and Weak Values
• Anomalous Weak Values Are Proofs of Contextuality
• Direct observation of Hardy's paradox by joint weak measurement with an entangled photon pair
• Direct Measurement of a 27-Dimensional Orbital-Angular-Momentum State Vector
• Amplification of Angular Rotations Using Weak Measurements
• Full characterisation of polarisation states of light via direct measurement
• Experimental Realization of the Quantum Box Problem
• Direct measurement of the density matrix of a quantum system
• The significance of the imaginary part of the weak value
• A double-slit `which-way' experiment on the complementarity--uncertainty debate
• Contextual Values of Observables in Quantum Measurements
• Sequential weak measurement
• Extracting joint weak values with local, single-particle measurements
• Counterfactual Computation
• Experiment Investigating the Connection between Weak Values and Contextuality
• A Precision Angle Sensor using an Optical Lever inside a Sagnac Interferometer
• Simultaneous Measurement of Complementary Observables with Compressive Sensing
• Structural Features of Sequential Weak Measurements
• Process Tomography for Systems in a Thermal State

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