Weak values and the Leggett-Garg inequality in solid-state qubits

Abstract

An implementation of weak values is investigated in solid-state qubits. We demonstrate that a weak value can be non-classical if and only if a Leggett-Garg inequality can also be violated. Generalized weak values are described, where post-selection on a range of weak measurement results. Imposing classical weak values permits the derivation of Leggett-Garg inequalities for bounded operators. Our analysis is presented in terms of kicked quantum nondemolition measurements on a quantum double-dot charge qubit.

4 pages, 2 figures

References in corpus (4)

• Quantum Averages of Weak Values
• Conditional statistics of electron transport in interacting nanoscale conductors
• Signatures of quantum behavior in single-qubit weak measurements
• Quantum Nondemolition Measurement of a Kicked Qubit

Cited by in corpus (1)

• Weak measurement: Effect of the detector dynamics