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Adiabatic Quantum Search in Open Systems.

Dominik S Wild1, Sarang Gopalakrishnan2,3, Michael Knap4

  • 1Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA.

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This summary is machine-generated.

Adiabatic quantum algorithms are robust in open systems at zero temperature if environmental noise is low. However, scattering processes at higher temperatures prevent quantum speedups.

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Area of Science:

  • Quantum computation
  • Quantum information science
  • Condensed matter physics

Background:

  • Adiabatic quantum computation (AQC) offers a path to universal quantum computation.
  • In isolated systems, performance is limited by small energy gaps at avoided level crossings.
  • The robustness of AQC in open quantum systems interacting with an environment is not fully understood.

Purpose of the Study:

  • Investigate the dynamics of AQC near an avoided level crossing in an open quantum system.
  • Determine the conditions for maintaining scalability in the presence of environmental coupling.
  • Assess the impact of temperature and environmental noise on AQC performance.

Main Methods:

  • Analysis of adiabatic quantum search algorithm dynamics.
  • Coupling the system to a generic environment.
  • Investigating the effects of noise spectral density and temperature.

Main Results:

  • At zero temperature, scalability is preserved if the environment's noise spectral density decays rapidly at low frequencies.
  • Higher-order scattering processes, prevalent at finite temperatures, degrade performance irrespective of spectral density.
  • Quantum speedup is unattainable at any finite temperature due to these scattering effects.

Conclusions:

  • AQC can be robust in open systems at zero temperature under specific environmental conditions.
  • Finite temperatures introduce inefficiencies that negate potential quantum speedups.
  • Further research is needed to explore implications for other adiabatic quantum algorithms and error mitigation strategies.