Weak values and the Leggett-Garg inequality in solid-state qubits
arXiv:0707.3427 · doi:10.1103/PhysRevLett.100.026804
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 (15)
- Coherent manipulation of electronic states in a double quantum dot
- Few-Electron Quantum Dot Circuit with Integrated Charge Read-Out
- Manipulation of a single charge in a double quantum dot
- Quantum weak values
- Continuous quantum measurement of a double dot
- Selective quantum evolution of a qubit state due to continuous measurement
- Weak Values, Quantum Trajectories, and the Stony-Brook Cavity QED experiment
- Quantum Averages of Weak Values
- Conditional statistics of electron transport in interacting nanoscale conductors
- Leggett-Garg inequality with a kicked quantum pump
- Quantum Non-demolition Measurements on Qubits
- Signatures of quantum behavior in single-qubit weak measurements
- Qubit feedback and control with kicked quantum nondemolition measurements: A quantum Bayesian analysis
- Rapid Ballistic Readout for Flux Qubits
- Quantum Nondemolition Measurement of a Kicked Qubit
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