Pre- and post-selection, weak values, and contextuality

Abstract

By analyzing the concept of contextuality (Bell-Kochen-Specker) in terms of pre-and-post-selection (PPS), it is possible to assign definite values to observables in a new and surprising way. Physical reasons are presented for restrictions on these assignments. When measurements are performed which do not disturb the pre- and post-selection (i.e. weak measurements), then novel experimental aspects of contextuality can be demonstrated including a proof that every PPS-paradox with definite predictions implies contextuality. Certain results of these measurements (eccentric weak values with e.g. negative values outside the spectrum), however, cannot be explained by a "classical-like" hidden variable theory.

Identical content; stream-lined verbal presentation

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Cited by in corpus (35)

• Nonperturbative theory of weak pre- and post-selected measurements
• Anomalous Weak Values Are Proofs of Contextuality
• Quantum Advantage in Postselected Metrology
• The significance of the imaginary part of the weak value
• Weak Values are Interference Phenomena
• Experiment Investigating the Connection between Weak Values and Contextuality
• Quantum interference experiments, modular variables and weak measurements
• Contextual-value approach to the generalized measurement of observables
• On the role of complex phases in the quantum statistics of weak measurements
• General complex Spin Weak Values obtained in Matter-Wave Interferometer Experiments
• Weak and semiweak values in non-ideal spin measurements: an exact treatment beyond the asymptotic regime
• Measuring Which-Path Information with Coupled Electronic Mach-Zehnder Interferometers
• How quantum paradoxes originate from the non-classical statistics of physical properties related to each other by half-periodic transformations
• Observing the "quantum Cheshire cat" effect with noninvasive weak measurement
• Quantifying the presence of a neutron in the paths of an interferometer
• Experimental simultaneous read out of the real and imaginary parts of the weak value
• Direct evaluation of measurement uncertainties by feedback compensation of decoherence
• Three-box paradox and "Cheshire cat grin": the case of spin-1 atoms
• Non-Abelian transport distinguishes three usually equivalent notions of entropy production
• Weak-value amplification of the fast-light effect in rubidium vapor
• Contextuality of quantum fluctuations characterized by conditional weak values of entangled states
• On the relation between measurement outcomes and physical properties
• Quantum uncertainty as classical uncertainty of real-deterministic variables constructed from complex weak values and a global random variable
• Nonclassical advantage in metrology established via quantum simulations of hypothetical closed timelike curves
• A possible solution to the which-way problem of quantum interference
• Disembodiment of arbitrary number of properties in quantum Cheshire cat experiment
• Joint weak value for all order coupling using continuous variable and qubit probe
• Uncertainty limits of the information exchange between a quantum system and an external meter
• Cat state, sub-Planck structure and weak measurement
• Exploring postselection-induced quantum phenomena with time-bidirectional state formalism
• Anomalous weak values are caused by disturbance
• Manifestation of pointer state correlations in complex weak values of quantum observables
• Experimental implementation of Hardy-like quantum pigeonhole paradoxes
• No contextual advantage in non-paradoxical scenarios of two state vector formalism
• Retrodiction of measurement outcomes on a single quantum system reveals entanglement with its environment