Modeling Leggett-Garg-inequality violation
arXiv:1506.04993 · doi:10.1103/PhysRevA.92.062132
Abstract
The Leggett-Garg inequality is a widely used test of the "quantumness" of a system, and involves correlations between measurements realized at different times. According to its widespread interpretation, a violation of the Legget-Garg inequality disproofs macroscopic realism and non-invasiveness. Nevertheless, recent results point out that macroscopic realism is a model dependent notion and that one should always be able to attribute to invasiveness a violation of a Legget-Garg inequality. This opens some natural questions: how to provide such an attribution in a systematic way? How can apparent macroscopic realism violation be recast into a dimensional independent invasiveness model? The present work answers these questions by introducing an operational model where the effects of invasiveness are controllable through a parameter associated with what is called the {\it measurability} of the physical system. Such a parameter leads to different generalized measurements that can be associated with the dimensionality of a system, to measurement errors or to back action.
5 pages, 4 figures, published version
References in corpus (8)
- Experimentally testable state-independent quantum contextuality
- State-independent quantum contextuality with single photons
- Universality of state-independent violation of correlation inequalities for noncontextual theories
- Necessary and sufficient conditions for macroscopic realism from quantum mechanics
- A scattering quantum circuit for measuring Bell's time inequality: a nuclear magnetic resonance demonstration using maximally mixed states
- Quantum non-demolition measurement enables macroscopic Leggett-Garg tests
- The Leggett-Garg inequality in electron interferometers
- State-independent quantum contextuality for continuous variables
Cited by in corpus (21)
- No Fine theorem for macrorealism: Limitations of the Leggett-Garg inequality
- Quantum information processing in phase space: A modular variables approach
- Optimal experimental demonstration of error-tolerant quantum witnesses
- Three Flavoured neutrino oscillations and the Leggett Garg Inequality
- Probing various formulations of macrorealism for unsharp quantum measurements
- In and out of equilibrium quantum metrology with mean-field quantum criticality
- Inequivalent Leggett-Garg inequalities
- Quantifying quantum invasiveness
- Precision bounds for multiple currents in open quantum systems
- Persistence of quantum violation of macrorealism for large spins even under coarsening of measurement times
- Violating the Leggett-Garg inequalities with classical light
- Connecting measurement invasiveness to optimal metrological scenarios
- Violation of the two-time Leggett-Garg inequalities for a harmonic oscillator
- Proposal for a clumsiness-free test of macroscopic realism
- Investigating nonclassicality in nonlinear electronic spectroscopy
- Violations of the Leggett-Garg inequality for coherent and cat states
- Leggett-Garg inequalities with deformed Pegg-Barnett phase observables
- Hidden nonmacrorealism: reviving the Leggett-Garg inequality with stochastic operations
- Probability vector representation of the Schrödinger equation and Leggett-Garg-type experiments
- Violation of the Leggett-Garg inequality for dynamics of a Bose-Einstein condensate in a double-well potential
- Quantumness of electron transport in quantum dot devices through Leggett-Garg inequalities: A non-equilibrium Green's function approach