Quasiprobabilistic Interpretation of Weak measurements in Mesoscopic Junctions
arXiv:1002.4984 · doi:10.1103/PhysRevLett.105.106803
Abstract
The impossibility of measuring noncommuting quantum mechanical observables is one of the most fascinating consequences of the quantum mechanical postulates. Hence, to date the investigation of quantum measurement and projection is a fundamentally interesting topic. We propose to test the concept of weak measurement of noncommuting observables in mesoscopic transport experiments, using a quasiprobablistic description. We derive an inequality for current correlators, which is satisfied by every classical probability but violated by high-frequency fourth-order cumulants in the quantum regime for experimentally feasible parameters.
4 pages, published version
References in corpus (15)
- Weak values and the Leggett-Garg inequality in solid-state qubits
- Experimental Test of the High-Frequency Quantum Shot Noise Theory in a Quantum Point Contact
- Sequential weak measurement
- Dynamics of Quantum Noise in a Tunnel Junction under ac Excitation
- Detection of non-Gaussian Fluctuations in a Quantum Point Contact
- Qubit feedback and control with kicked quantum nondemolition measurements: A quantum Bayesian analysis
- Weak values of electron spin in a double quantum dot
- Antibunched photons emitted by a quantum point contact out of equilibrium
- Frequency-dependent current correlation functions from scattering theory
- Quantum Nondemolition Measurement of a Kicked Qubit
- Commuting Heisenberg operators as the quantum response problem: Time-normal averages in the truncated Wigner representation
- Tomography of many-body weak values: Mach-Zehnder interferometry
- High Frequency Dynamics and Third Cumulant of Quantum Noise
- Formulation of Time-Resolved Counting Statistics Based on a Positive-Operator-Valued Measure
- Quantum detectors for the third cumulant of current fluctuations