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Updated: Jun 14, 2026

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
05:30

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Published on: September 8, 2023

Quantum persistence: a random-walk scenario.

Sanchari Goswami1, Parongama Sen, Arnab Das

  • 1Department of Physics, University of Calcutta, 92 Acharya Prafulla Chandra Road, Calcutta 700009, India.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 7, 2010
PubMed
Summary
This summary is machine-generated.

This study introduces quantum persistence, measuring how long a site remains unvisited in quantum walks. It reveals power-law scaling for related quantum dynamics metrics.

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Last Updated: Jun 14, 2026

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
05:30

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Published on: September 8, 2023

Area of Science:

  • Quantum dynamics
  • Stochastic processes
  • Quantum information

Background:

  • Classical stochastic dynamics has well-defined persistence measures.
  • Quantum dynamics presents unique challenges for such concepts.
  • Understanding quantum walk behavior is crucial for quantum computing and simulation.

Purpose of the Study:

  • To extend the concept of persistence from classical to quantum dynamics.
  • To analyze persistence in the context of quantum random walks.
  • To investigate related quantum dynamic quantities like first-passage time and succession probability.

Main Methods:

  • Utilizing a quantum random walk model.
  • Implementing a successive measurement scheme.
  • Defining and analyzing persistence as the unvisited time of a site.

Main Results:

  • Demonstrated the feasibility of defining and measuring quantum persistence.
  • Observed power-law scaling behavior for persistence and related quantities.
  • Identified new scaling exponents in quantum walks.

Conclusions:

  • Quantum persistence is a viable concept applicable to quantum dynamics.
  • Quantum walks exhibit distinct scaling behaviors compared to classical walks.
  • The study provides new insights into the fundamental properties of quantum walks.