Anomalous Weak Values and the Violation of a Multiple-measurement Leggett-Garg Inequality
arXiv:1706.02120 · doi:10.1103/PhysRevA.96.052123
Abstract
Quantum mechanics presents peculiar properties that, on the one hand, have been the subject of several theoretical and experimental studies about its very foundations and, on the other hand, provide tools for developing new technologies, the so-called quantum technologies. The nonclassicality pointed out by Leggett-Garg inequalities has represented, with Bell inequalities, one of the most investigated subject. In this letter we study the connection of Leggett-Garg inequalities with a new emerging field of quantum measurement, the weak values. In particular, we perform an experimental study of the four-time correlators Legget-Garg test, by exploiting single and sequential weak measurements performed on heralded single photons. We show violation of a four-parameters Leggett-Garg inequality in different experimental conditions, demonstrating an interesting connection between Leggett-Garg inequality violation and anomalous weak values.
References in corpus (47)
- Ultrasensitive Beam Deflection Measurement via Interferometric Weak Value Amplification
- Research on Hidden Variable Theories: a review of recent progresses
- Leggett-Garg Inequalities
- Experimental violation of a Bell's inequality in time with weak measurement
- Quantum weak values
- Complex weak values in quantum measurement
- Technical advantages for weak value amplification: When less is more
- Violation of the Leggett-Garg inequality with weak measurements of photons
- Weak values and the Leggett-Garg inequality in solid-state qubits
- Amplifying Single-Photon Nonlinearity Using Weak Measurement
- Violation of a Leggett-Garg inequality with ideal non-invasive measurements
- Anomalous Weak Values Are Proofs of Contextuality
- Classical world arising out of quantum physics under the restriction of coarse-grained measurements
- Macroscopicity of Mechanical Quantum Superposition States
- Experimental Violation of Two-Party Leggett-Garg Inequalities with Semi-weak Measurements
- Precision metrology using weak measurements
- Weak Values, Quantum Trajectories, and the Stony-Brook Cavity QED experiment
- Ideal negative measurements in quantum walks disprove theories based on classical trajectories
- Partial-measurement back-action and non-classical weak values in a superconducting circuit
- The conditions for quantum violation of macroscopic realism
- Unbounded randomness certification using sequences of measurements
- A strict experimental test of macroscopic realism in a superconducting flux qubit
- How the result of a single coin toss can turn out to be 100 heads
- Temporal quantum correlations and Leggett-Garg inequalities in multi-level systems
- Quantum correlations in the temporal CHSH scenario
- Improving the precision of weak measurements by postselection measurement
- Sequential weak measurement
- Bounding temporal quantum correlations
- Leggett-Garg inequality with a kicked quantum pump
- Violation of Leggett-Garg inequalities in quantum measurements with variable resolution and back-action
- Addressing the clumsiness loophole in a Leggett-Garg test of macrorealism
- Measuring incompatible observables of a single photon
- Experimental detection of quantum coherent evolution through the violation of Leggett-Garg-type inequalities
- Experimental violation of the Leggett-Garg inequality under decoherence
- Distinguishing quantum and classical transport through nanostructures
- Three-observer Bell inequality violation on a two-qubit entangled state
- Experiment Investigating the Connection between Weak Values and Contextuality
- Hardy's paradox and violation of a state-independent Bell inequality in time
- Quantum non-demolition measurement enables macroscopic Leggett-Garg tests
- Non-classicality of temporal correlations
- Comment on: How the result of a single coin toss can turn out to be 100 heads
- Advantages of nonclassical pointer states in postselected weak measurements
- Avoiding Loopholes with Hybrid Bell-Leggett-Garg Inequalities
- Improved implementation of nonclassicality test for a single particle
- Defining quantumness via the Jordan product
- Observation of Nonlocality Sharing among Three Observers with One Entangled Pair via Optimal Weak Measurement
- Comment on 'How the result of a single coin toss can turn out to be 100 heads'
Cited by in corpus (23)
- Weak-to-strong transition of quantum measurement in a trapped-ion system
- Negative quasiprobabilities enhance phase estimation in quantum-optics experiment
- Experimental Test of Sequential Weak Measurements for Certified Quantum Randomness Extraction
- Interference experiment, anomalous weak value and Leggett-Garg test of macrorealism
- Experimental Realization of Sequential Weak Measurements of Arbitrary Non-commuting Pauli Observables
- Probing finite coarse-grained virtual Feynman histories with sequential weak values
- Minimizing back-action through entangled measurements
- Investigating the Effects of the Interaction Intensity in a Weak Measurement
- Temporal teleportation with pseudo-density operators: how dynamics emerges from temporal entanglement
- Leggett-Garg tests for macrorealism: interference experiments and the simple harmonic oscillator
- Single-pair measurement of the Bell parameter
- An experimental investigation of measurement-induced disturbance and time symmetry in quantum physics
- Theory and experiment for resource-efficient joint weak-measurement
- Protective Measurement -- a new quantum measurement paradigm: detailed description of the first realisation
- Disembodiment of arbitrary number of properties in quantum Cheshire cat experiment
- Experimental Test of Nonlocality Limits from Relativistic Independence
- Consequences of the single-pair measurement of the Bell parameter
- Direct tomography of quantum states and processes via weak measurements of Pauli spin operators on an NMR quantum processor
- Towards a standard procedure for the measurement of the multi-photon component in a CW telecom heralded single-photon source
- Leggett-Garg test of macrorealism using indefinite causal order of measurements
- Reply to "Comment(s) to "Consequences of the single-pair measurement of the Bell parameter""
- Testing time order and Leggett-Garg inequalities with noninvasive measurements on public quantum computers
- Quantum backaction effects in sequential measurements