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Quantum Hamiltonian identification from measurement time traces.

Jun Zhang1, Mohan Sarovar2

  • 1Joint Institute of UM-SJTU and Key Laboratory of System Control and Information Processing (MOE), Shanghai Jiao Tong University, Shanghai 200240, China.

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|September 6, 2014
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Summary
This summary is machine-generated.

This study introduces a new algorithm to identify parameters in quantum systems using time-trace data. The method accurately estimates quantum parameters even with measurement noise.

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Area of Science:

  • Quantum Physics
  • Quantum Information Science
  • Control Theory

Background:

  • Accurate parameter identification is crucial for advancing quantum information and communication technologies.
  • Current methods face challenges in precisely determining parameters governing complex quantum processes.
  • Quantum system evolution is often described by a parametrized Hamiltonian.

Purpose of the Study:

  • To develop a constructive algorithm for estimating parameters in quantum systems.
  • To utilize temporal records of observable quantities (time traces) for parameter estimation.
  • To demonstrate the algorithm's applicability and robustness against measurement noise.

Main Methods:

  • Leveraging the concept of system realization from linear systems theory.
  • Developing a direct estimation algorithm from time-trace data.
  • Applying the algorithm to a one-dimensional spin chain model with variable couplings.

Main Results:

  • A constructive algorithm was successfully developed for parameter estimation.
  • The algorithm directly estimates unknown parameters from system time traces.
  • The method demonstrated robustness to measurement noise in simulations.

Conclusions:

  • The developed algorithm offers a novel approach for parameter identification in quantum systems.
  • This method has potential applications in quantum information processing and control.
  • The algorithm's robustness suggests practical utility in noisy quantum environments.