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Achievable Polarization for Heat-Bath Algorithmic Cooling.

Nayeli Azucena Rodríguez-Briones1,2, Raymond Laflamme1,2,3,4

  • 1Institute for Quantum Computing, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada.

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Summary
This summary is machine-generated.

Heat-bath algorithmic cooling enhances quantum state purity for quantum information applications. This study defines the maximum achievable polarization from a mixed state, providing a benchmark for quantum error correction preparation.

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Area of Science:

  • Quantum Information Science
  • Quantum Computing Fundamentals
  • Thermodynamics of Quantum Systems

Background:

  • Pure quantum states are crucial for quantum algorithms and error correction.
  • Preparing highly pure states is a significant challenge across various quantum technologies.
  • Heat-bath algorithmic cooling offers a method to improve qubit purity.

Purpose of the Study:

  • To investigate the maximum achievable polarization using heat-bath algorithmic cooling.
  • To determine the steady-state properties of a system undergoing this cooling process.
  • To establish a theoretical bound for polarization enhancement.

Main Methods:

  • Analysis of the system's entropy extraction limit.
  • Derivation of an analytic form for maximum polarization from a totally mixed state.
  • Characterization of the final steady state.

Main Results:

  • An analytic expression for the maximum achievable polarization from a totally mixed initial state was derived.
  • The corresponding steady state of the entire system was determined.
  • The study provides an achievable bound for polarization, noting higher values are possible from specific initial states.

Conclusions:

  • The derived bound is essential for understanding the limits of heat-bath algorithmic cooling.
  • The findings offer practical guidance on the number of steps required to reach desired polarization levels.
  • This work contributes to the advancement of quantum state preparation for quantum information processing.