Weak-Measurement Elements of Reality

Abstract

A brief review of the attempts to define ``elements of reality'' in the framework of quantum theory is presented. It is noted that most definitions of elements of reality have in common the feature to be a definite outcome of some measurement. Elements of reality are extended to pre- and post-selected systems and to measurements which fulfill certain criteria of weakness of the coupling. Some features of the newly introduced concepts are discussed.

LaTeX, 11 pages

References in corpus (4)

• Measurement of the Schrodinger wave of a single particle
• Lorentz-Invariant "Elements of Reality" and the Question of Joint Measurability of Commuting Observables
• Adiabatic Measurements on Metastable Systems
• Protective Measurements

Cited by in corpus (66)

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• Experimental Realization of the Quantum Box Problem
• Consistent Histories and Quantum Reasoning
• The past of a quantum particle
• Quantum Averages of Weak Values
• New wine in old bottles: Quantum measurement - direct, indirect, weak - with some applications
• Extracting joint weak values with local, single-particle measurements
• Weak Values with Decoherence
• Strange Weak Values
• Pre- and post-selection, weak values, and contextuality
• Information-reality complementarity: The role of measurements and quantum reference frames
• The Three-Box Paradox Revisited
• Classical Three-Box "paradox"
• Experimental realization of post-selected weak measurements on an NMR quantum processor
• Weak measurements measure probability amplitudes (and very little else)
• Weak and semiweak values in non-ideal spin measurements: an exact treatment beyond the asymptotic regime
• Comment on: How the result of a single coin toss can turn out to be 100 heads
• What is a quantum-mechanical 'weak value' the value of?
• Probing finite coarse-grained virtual Feynman histories with sequential weak values
• Experimental simultaneous read out of the real and imaginary parts of the weak value
• Objective probabilities, quantum counterfactuals, and the ABL rule
• Demystifying weak measurements
• Realism-information complementarity in photonic weak measurements
• Weak values and the past of a quantum particle
• Irrealism from fringe visibility in matter-wave double-slit interference with initial contractive states
• Weak values of a quantum observable and the cross-Wigner distribution
• Quantum Trajectories based on the Weak Value
• Quantifying continuous-variable realism
• Defending Time-Symmetrized Quantum Counterfactuals
• The Salecker-Wigner-Peres clock, Feynman paths, and a tunnelling time that should not exist
• Do weak values capture the complete truth about the past of a quantum particle?
• Peculiar Features of Entangled States with Post-Selection
• Quantum Image Representation Through Two-Dimensional Quantum States and Normalized Amplitude
• Anomalous Weak Values Without Post-Selection
• Characterization of the non-classical relation between measurement outcomes represented by non-orthogonal quantum states
• Quantum uncertainty as classical uncertainty of real-deterministic variables constructed from complex weak values and a global random variable
• Measurements of non local weak values
• Identifying weak values with intrinsic dynamical properties in Modal theories
• Time-Symmetrized Counterfactuals in Quantum Theory
• Disembodiment of arbitrary number of properties in quantum Cheshire cat experiment
• The power of a control qubit in weak measurements
• Defending Time-Symmetrized Quantum Theory
• How (Not) to Understand Weak Measurements of Velocities
• Joint weak value for all order coupling using continuous variable and qubit probe
• Cat state, sub-Planck structure and weak measurement
• Quantum tomography with random diagonal unitary maps and statistical bounds on information generation using random matrix theory
• Interpreting weak value amplification with a toy realist model
• The Three-Box "Paradox" and Other Reasons to Reject the Counterfactual Usage of the ABL Rule
• How much time does a photon spend as an atomic excitation before being transmitted?
• TSQT `Elements of Possibility'?
• Anomalous weak values are caused by disturbance
• Time-Symmetrized Quantum Theory, Counterfactuals, and `Advanced Action'
• Weak values in collision theory
• Weak measurements of non local variables
• Weak value as an indicator of back-action
• Reply to a Commentary "Asking photons where they have been without telling them what to say"
• The Nature of the Controversy over Time-Symmetric Quantum Counterfactuals
• Closing a Loophole in the Case Against the Counterfactual Usage of the ABL Rule
• Contextuality, Witness of Quantum Weirdness
• Counterfactuals in Quantum Mechanics
• Amplification of mechanical quadratures using weak values
• Weak Values and Consistent Histories in Quantum Theory
• The Utility of Time-Symmetric Quantum Counterfactuals: A Response to Kastner
• Quantum mechanics and elements of reality
• Time Derivatives of Weak Values
• Weak Value and Weak Measurements