Noninvasive Quantum Measurement of Arbitrary Operator Order by Engineered Non-Markovian Detectors

Abstract

The development of solid-state quantum technologies requires the understanding of quantum measurements in interacting, non-isolated quantum systems. In general, a permanent coupling of detectors to a quantum system leads to memory effects that have to be taken into account in interpreting the measurement results. We analyze a generic setup of two detectors coupled to a quantum system and derive a compact formula in the weak-measurement limit that interpolates between an instantaneous (text-book type) and almost continuous - detector dynamics-dependent - measurement. A quantum memory effect that we term system-mediated detector-detector interaction is crucial to observe non-commuting observables simultaneously. Finally, we propose a mesoscopic double-dot detector setup in which the memory effect is tunable and that can be used to explore the transition to non-Markovian quantum measurements experimentally.

5 pages, 5 figures

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Cited by in corpus (6)

• Characterization of arbitrary-order correlations in quantum baths by weak measurement
• Conservation laws in quantum noninvasive measurements
• Certifying Non-Classical Behavior for Negative Keldysh Quasi-Probabilities
• Bounds on nonlocal correlations in the presence of signaling and their application to topological zero modes
• Non-classical current noise and light emission of an ac-driven tunnel junction
• Testing time order and Leggett-Garg inequalities with noninvasive measurements on public quantum computers