Experimental joint weak measurement on a photon pair as a probe of Hardy's Paradox

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)

• A double-slit `which-way' experiment on the complementarity--uncertainty debate
• Sequential weak measurement

Cited by in corpus (66)

• 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
• Review: Quantum Metrology and Sensing with Many-Body Systems
• Modular values and weak values of quantum observables
• Quantum correlations in optical metrology: Heisenberg-limited phase estimation without mode entanglement
• Kirkwood-Dirac quasiprobability approach to the statistics of incompatible observables
• Quantum circuits for measuring weak values, Kirkwood--Dirac quasiprobability distributions, and state spectra
• Strange Weak Values
• Ultra-sensitive phase estimation with white light
• Direct measurement of a nonlocal entangled quantum state
• Uncertainty limits for quantum metrology obtained from the statistics of weak measurements
• Weak values are universal in von Neumann measurements
• Properties and Applications of the Kirkwood-Dirac Distribution
• Hardy's paradox and violation of a state-independent Bell inequality in time
• 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
• Increased success probability in Hardy's nonlocality: Theory and demonstration
• Hardy's paradox as a demonstration of quantum irrealism
• Interferometry of quantum correlation functions to access quasiprobability distribution of work
• Single-pair measurement of the Bell parameter
• Measurements of nonlocal variables and demonstration of the failure of the product rule for a pre- and postselected pair of photons
• Quantum interference of position and momentum: a particle propagation paradox
• Progress and Perspectives on Weak-value Amplification
• A unified view on Hardy's paradox and the CHSH inequality
• Quantum uncertainty as classical uncertainty of real-deterministic variables constructed from complex weak values and a global random variable
• Epistemically restricted phase space representation, weak momentum value, and reconstruction of quantum wave function
• A general scheme of differential imaging employing weak measurement
• How a single particle modifies the physical reality of two distant others simultaneously: a quantum nonlocality and weak value study
• Experimental Test of Nonlocality Limits from Relativistic Independence
• Disembodiment of arbitrary number of properties in quantum Cheshire cat experiment
• Dimension-independent weak value estimation via controlled SWAP operations
• Joint weak value for all order coupling using continuous variable and qubit probe
• Dual-recycled interference-based weak value metrology
• Decoherence effects on weak value measurements in double quantum dots
• What do quantum "weak" measurements actually measure?
• Experimenting quantum phenomena on NISQ computers using high level quantum programming
• Interferometric weak value of polarization observable and differential Jones matrix algebra
• Obtaining a Single-Photon Weak Value from Experiments using a Strong (Many-Photon) Coherent State
• When a negative weak value -1 plays the counterpart of a probability 1
• Revisiting weak values through non-normality
• Memory effects in a sequence of measurements of non-commuting observables
• A weak-value model for virtual particles supplying the electric current in graphene: the minimal conductivity and the Schwinger mechanism
• Entanglement measures for two-particle quantum histories
• Single-Qubit Reaped Quantum State Tomography
• Uncertainty Relations in Pre- and Post-Selected Systems
• Theoretical investigation of the relations between quantum decoherence and weak-to-strong measurement transition
• No contextual advantage in non-paradoxical scenarios of two state vector formalism
• Reply to "Comment(s) to "Consequences of the single-pair measurement of the Bell parameter""
• State distinguishability under weak measurement and post-selection: A unified system and device perspective
• No-go result for quantum postselection measurements of rank-m degenerate subspace
• Time-symmetry and topology of the Aharonov-Bohm effect
• Hardy's Paradox and Measurement-disturbance Relations
• Amplification of mechanical quadratures using weak values
• 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
• Quantum state tomography on closed timelike curves using weak measurements
• Interference of interference effects
• Many-Worlds Interpretation of Quantum Mechanics: A Paradoxical Picture
• Nonlocal Variable-Strength Measurements of N Qubits Using GHZ-like Entanglement
• Controlling and measuring a superposition of position and momentum