Experimental joint weak measurement on a photon pair as a probe of Hardy's Paradox
arXiv:0810.4229 · doi:10.1103/PhysRevLett.102.020404
Abstract
It has been proposed that the ability to perform joint weak measurements on post-selected systems would allow us to study quantum paradoxes. These measurements can investigate the history of those particles that contribute to the paradoxical outcome. Here, we experimentally perform weak measurements of joint (i.e. nonlocal) observables. In an implementation of Hardy's Paradox, we weakly measure the locations of two photons, the subject of the conflicting statements behind the Paradox. Remarkably, the resulting weak probabilities verify all these statements but, at the same time, resolve the Paradox.
References in corpus (2)
Cited by in corpus (28)
- Anomalous Weak Values Are Proofs of Contextuality
- Direct observation of Hardy's paradox by joint weak measurement with an entangled photon pair
- Precision frequency measurements with interferometric weak values
- Modular values and weak values of quantum observables
- Quantum correlations in optical metrology: Heisenberg-limited phase estimation without mode entanglement
- Strange Weak Values
- Ultra-sensitive phase estimation with white light
- Uncertainty limits for quantum metrology obtained from the statistics of weak measurements
- Hardy's paradox and violation of a state-independent Bell inequality in time
- Weak values are universal in von Neumann measurements
- Compressive Wavefront Sensing with Weak Values
- Observation of a classical cheshire cat in an optical interferometer
- Observation of the quantum paradox of separation of a single photon from one of its properties
- Quantum optical reconstruction scheme using weak values
- Extracting joint weak values from two-dimensional spatial displacements
- Hardy's paradox tested in the spin-orbit Hilbert space of single photons
- How quantum paradoxes originate from the non-classical statistics of physical properties related to each other by half-periodic transformations
- Quantum interference of position and momentum: a particle propagation paradox
- A unified view on Hardy's paradox and the CHSH inequality
- How a single particle modifies the physical reality of two distant others simultaneously: a quantum nonlocality and weak value study
- Joint weak value for all order coupling using continuous variable and qubit probe
- What do quantum "weak" measurements actually measure?
- Decoherence effects on weak value measurements in double quantum dots
- When a negative weak value -1 plays the counterpart of a probability 1
- A weak-value model for virtual particles supplying the electric current in graphene: the minimal conductivity and the Schwinger mechanism
- Hardy's Paradox and Measurement-disturbance Relations
- An experimental measurement of the topological charge of orbital angular momentum beams through weak measurement
- A brief overview and some comments on the weak measurement protocol