Direct measurement of a nonlocal entangled quantum state
arXiv:1910.10933 · doi:10.1103/PhysRevLett.123.150402
Abstract
Entanglement and wave function description are two of the core concepts that make quantum mechanics such a unique theory. A method to directly measure the wave function, using Weak Values, was demonstrated by Lundeen et al., Nature \textbf{474}, 188(2011). However, it is not applicable to a scenario of two disjoint systems, where nonlocal entanglement can be a crucial element since that requires obtaining the Weak Values of nonlocal observables. Here, for the first time, we propose a method to directly measure a nonlocal wave function of a bipartite system, using Modular Values. The method is experimentally implemented for a photon pair in a hyper-entangled state, i.e. entangled both in polarization and momentum degrees of freedom.
13 pages, 4 figures
References in corpus (7)
- Experimental joint weak measurement on a photon pair as a probe of Hardy's Paradox
- Direct observation of Hardy's paradox by joint weak measurement with an entangled photon pair
- Compressive Direct Measurement of the Quantum Wave Function
- Modular values and weak values of quantum observables
- Sequential measurement of conjugate variables as an alternative quantum state tomography
- Quantum optical reconstruction scheme using weak values
- Experimental nonlocal steering of Bohmian trajectories
Cited by in corpus (23)
- Properties and Applications of the Kirkwood-Dirac Distribution
- Directly Measuring a Multiparticle Quantum Wave Function via Quantum Teleportation
- On the experiment-friendly formulation of quantum backflow
- Characterizing Biphoton Spatial Wave Function Dynamics with Quantum Wavefront Sensing
- Theory and experiment for resource-efficient joint weak-measurement
- A general scheme of differential imaging employing weak measurement
- Protective Measurement -- a new quantum measurement paradigm: detailed description of the first realisation
- Directly Characterizing the Coherence of Quantum Detectors by Sequential Measurement
- Disembodiment of arbitrary number of properties in quantum Cheshire cat experiment
- Time-of-arrival distributions for continuous quantum systems and application to quantum backflow
- Association between quantum paradoxes based on weak values and a realistic interpretation of quantum measurements
- Resource-efficient Direct Characterization of General Density Matrix
- Direct measurement of density-matrix elements using a phase-shifting technique Tianfeng
- Reconstructing the multiphoton spatial wave function with coincidence wavefront sensing
- Increase the Efficiency of Post-selection in Direct Measurement of Quantum Wave Function
- Nonlocal nonreciprocal optomechanical circulator
- Weak-measurement-based pseudospin pointer: A cost-effective scheme for precision measurement
- Phase-resolved measurement of entangled states via common-path interferometry
- Uncertainty Relations in Pre- and Post-Selected Systems
- Direct measurement of atomic entanglement via cavity photon statistics
- No-go result for quantum postselection measurements of rank-m degenerate subspace
- Correlation between concurrence and mutual information
- Nonlocal Variable-Strength Measurements of N Qubits Using GHZ-like Entanglement