Interplay between strong and weak measurement: Comparison of three experimental approaches to weak value estimation
arXiv:1903.00511 · doi:10.1088/2040-8986/ab8a7a
Abstract
Weak values are traditionally obtained using a weak interaction between the measured system and a pointer state. It has, however, been pointed out that weak coupling can be replaced by a carefully tailored strong interaction. This paper provides a direct comparison of two strong interaction-based approaches (strong interaction accompanied by either a suitably prepared pointer state or quantum erasure) and the traditional weak interaction-based method. Presented theoretical derivations explicitly prove analytical equivalence of these approaches which was subsequently certified by an experiment implemented on the platform of linear optics. We find that strong-interaction-based measurements are experimentally less demanding on this platform.
arXiv comment9 pages, 3 figures
References in corpus (30)
- Direct Measurement of the Quantum Wavefunction
- Colloquium: Understanding Quantum Weak Values: Basics and Applications
- Quantum weak values
- Linear Optics C-Phase gate made simple
- Revisiting Hardy's Paradox: Counterfactual Statements, Real Measurements, Entanglement and Weak Values
- Measuring a photonic qubit without destroying it
- Strong measurements give a better direct measurement of the quantum wave function
- Weak value controversy
- Particle Path Through a Nested Mach-Zehnder Interferometer
- Resource-efficient linear-optical quantum router
- Universality of local weak interactions and its application for interferometric alignment
- Experimental implementation of the optimal linear-optical controlled phase gate
- Determination of weak values of quantum operators using only strong measurements
- Interpreting a nested Mach-Zehnder interferometer with classical optics
- Can a Dove prism change the past of a single photon?
- Knowing "where the photons have been"
- Comment on "Past of a quantum particle revisited"
- Nonlocal Measurements via Quantum Erasure
- Observing trajectories with weak measurements in quantum systems in the semiclassical regime
- Comment on "Which-way information in a nested Mach-Zehnder interferometer"
- Reconstructing weak values without weak measurements
- Coupling-Deformed Pointer Observables and Weak Values
- Comment on "One-state vector formalism for the evolution of a quantum state through nested Mach-Zehnder interferometers"
- Linear optics implementation of weak values in Hardy's paradox
- When photons are lying about where they have been
- Three-box paradox and "Cheshire cat grin": the case of spin-1 atoms
- Measurements of nonlocal variables and demonstration of the failure of the product rule for a pre- and postselected pair of photons
- Direct state reconstruction with coupling-deformed pointer observables
- Reply to Comment on "Particle Path Through a Nested Mach-Zehnder Interferometer"
- Measuring evolution of a photon in an interferometer with spectrally-resolved modes