Weak measurements with orbital angular momentum pointer states
arXiv:1204.3544 · doi:10.1103/PhysRevLett.109.040401
Abstract
Weak measurements are a unique tool for accessing information about weakly interacting quantum systems with minimal back action. Joint weak measurements of single-particle operators with pointer states characterized by a two-dimensional Gaussian distribution can provide, in turn, key information about quantum correlations which can be of relevance for quantum information applications. Here we demonstrate that by employing two-dimensional pointer states endowed with orbital angular momentum (OAM), it is possible to extract weak values of the higher order moments of single-particle operators, an inaccessible quantity with Gaussian pointer states only. We provide a specific example that illustrates the advantages of our method both, in terms of signal enhancement, and information retrieval.
5 pages, accepted for publication in Phys. Rev. Lett
References in corpus (19)
- Measurement of conditional phase shifts for quantum logic
- Ultrasensitive Beam Deflection Measurement via Interferometric Weak Value Amplification
- Direct Measurement of the Quantum Wavefunction
- Quantized Rotation of Atoms From Photons with Orbital Angular Momentum
- Measuring small longitudinal phase shifts: weak measurements or standard interferometry?
- Quantum weak values
- A Primer for Black Hole Quantum Physics
- Violation of the Leggett-Garg inequality with weak measurements of photons
- Weak values and the Leggett-Garg inequality in solid-state qubits
- Experimental Violation of Two-Party Leggett-Garg Inequalities with Semi-weak Measurements
- Weak Values, Quantum Trajectories, and the Stony-Brook Cavity QED experiment
- Fast light, slow light, and phase singularities: a connection to generalized weak values
- The significance of the imaginary part of the weak value
- Quantum measurements with preselection and postselection
- Higher-order Laguerre-Gauss mode generation and interferometry for gravitational wave detectors
- Extracting joint weak values with local, single-particle measurements
- All-order evaluation of weak measurements: --- The cases of an operator which satisfies the property ---
- Optimal Probe Wavefunction of Weak-Value Amplification
- On Amplification by Weak Measurement
Cited by in corpus (31)
- Colloquium: Understanding Quantum Weak Values: Basics and Applications
- Amplification of Angular Rotations Using Weak Measurements
- Precision metrology using weak measurements
- Photonic spin Hall effect in hyperbolic metamaterials at visible
- Measuring ultrasmall time delays of light by joint weak measurements
- Observation of the Imbert-Fedorov effect via weak value amplification
- Demonstration of Weak Measurement Based on Atomic Spontaneous Emission
- Stereographical visualization of a polarization state using weak measurements with an optical-vortex beam
- Post-selected von Neumann measurement with Hermite-Gaussian and Laguerre-Gaussian pointer states
- Extracting joint weak values from two-dimensional spatial displacements
- Uncertainty of Weak Measurement and Merit of Amplification
- Weak measurement of elliptical dipole moments by C point splitting
- Weak value amplification using asymmetric spectral response of Fano resonance as a natural pointer
- Progress and Perspectives on Weak-value Amplification
- Amplification limit of weak measurements: a variational approach
- Experimental probe of weak value amplification and geometric phase through the complex zeroes of the response function
- Spin-Orbit Angular Momentum Conversion in Metamaterials and Metasurfaces
- Quantification of Concurrence via Weak Measurement
- Disembodiment of arbitrary number of properties in quantum Cheshire cat experiment
- A Generalized framework of weak value amplification in path interference of polarized light for the enhancement of all possible polarization anisotropy effects
- Joint weak value for all order coupling using continuous variable and qubit probe
- Deterministic super-resolved estimation towards angular displacements based upon a Sagnac interferometer and parity measurement
- Quantum Walk Topology and Spontaneous Parametric Down Conversion
- Obtaining imaginary weak values with a classical apparatus: applications for the time and frequency domains
- Spin-Orbit Interactions of Light: Fundamentals and Emergent Applications
- Manifestation of pointer state correlations in complex weak values of quantum observables
- Comment on "Weak Measurements with Orbital-Angular-Momentum Pointer states"
- Proposal for the generation of photon pairs with nonzero orbital angular momentum in a ring fiber
- Extraction of Product and Higher Moment Weak Values: Applications in Quantum State Reconstruction and Entanglement Detection
- Quantum information transfer using weak measurements and any non-product resource state
- Unraveling the physics of topological phases with random walks of light