Impossibility of distant indirect measurement of the quantum Zeno effect

Abstract

We critically study the possibility of quantum Zeno effect for indirect measurements. If the detector is prepared to detect the emitted signal from the core system, and the detector does not reflect the signal back to the core system, then we can prove the decay probability of the system is not changed by the continuous measurement of the signal and the quantum Zeno effect never takes place. This argument also applies to the quantum Zeno effect for accelerated two-level systems, unstable particle decay, etc.

arXiv comment14 pages, 2 figures

References in corpus (3)

• Time Evolution of Unstable Particle Decay Seen with Finite Resolution
• Quantum Zeno Effect for Exponentially Decaying Systems
• Quantum Zeno and anti-Zeno effects by indirect measurement with finite errors

Cited by in corpus (8)

• Quantum Zeno effect by general measurements
• Nonexponential decay of an unstable quantum system: Small-$Q$-value s-wave decay
• Coalescence of non-Markovian dissipation, quantum Zeno effect and non-Hermitian physics, in a simple realistic quantum system
• Quantum Zeno effect in self-sustaining systems: suppressing phase diffusion via repeated measurements
• Suppression of Zeno effect for distant detectors
• Comment on "Impossibility of distant indirect measurement of the quantum Zeno effect"
• Quantum Zeno effect by indirect measurement: The effect of the detector
• Defense of "Impossibility of distant indirect measurement of the quantum Zeno effect"