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Related Experiment Video

Updated: Jun 4, 2025

Measurement of Quantum Interference in a Silicon Ring Resonator Photon Source

Measurement of Quantum Interference in a Silicon Ring Resonator Photon Source

Published on: April 4, 2017

Restart uncertainty relation for monitored quantum dynamics.

Ruoyu Yin¹, Qingyuan Wang¹, Sabine Tornow²

¹Department of Physics, Institute of Nanotechnology and Advanced Materials, Bar-Ilan University, Ramat-Gan 52900, Israel.

Proceedings of the National Academy of Sciences of the United States of America

|January 2, 2025

Summary

This summary is machine-generated.

We discovered a new time-energy uncertainty relation for monitored quantum dynamics. This relation explains how finite measurement times broaden transitions in quantum recurrence times, offering insights for quantum algorithms.

Keywords:

monitored quantum dynamics quantum hitting time restart mechanism uncertainty relation

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Last Updated: Jun 4, 2025

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Area of Science:

Quantum physics
Quantum dynamics
Quantum information science

Background:

Previous research established quantized mean recurrence times in monitored quantum dynamics, showing discontinuous transitions at resonances.
The practical application of restarts in experiments is limited by finite data collection times.

Purpose of the Study:

To introduce a time-energy uncertainty relation applicable to restarts in monitored quantum dynamics.
To explain the broadening of mean recurrence time transitions observed in experiments.

Main Methods:

Theoretical development of a time-energy uncertainty relation.
Analysis of the broadening effect on mean recurrence time transitions due to finite sampling times.
Experimental validation using a quantum computer.

Main Results:

A novel time-energy uncertainty relation was derived, connecting resonance transition broadening to system energies and recurrence time fluctuations.
The relation quantifies the broadening effect on mean recurrence time transitions caused by finite experimental timescales.
Experimental validation was successfully performed on a quantum computing platform.

Conclusions:

The proposed uncertainty relation provides a fundamental understanding of quantum measurement and dynamics under restarts.
This work offers practical implications for designing efficient quantum algorithms utilizing mid-circuit measurements.
The findings bridge theoretical concepts with experimental realities in quantum systems.