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Area of Science:

  • Quantum Information Science
  • Condensed Matter Physics
  • Quantum Computing

Background:

  • Continuous-time quantum walks are fundamental to quantum computation.
  • Implementing quantum gates with long coherence times is crucial for scalable quantum computers.
  • On-site potentials can modify quantum walk dynamics.

Purpose of the Study:

  • To investigate the quantum gate construction capabilities of a continuous-time quantum walk on a 1D graph.
  • To analyze the decoherence effects on this quantum walk system.
  • To identify methods for enhancing the coherence time of quantum gates.

Main Methods:

  • Theoretical analysis of a continuous-time quantum walk on a 1D lattice with a central on-site potential.
  • Mathematical modeling to demonstrate X-gate and controlled-NOT gate construction.
  • Investigation of decoherence by varying system parameters like graph size and potential-to-hopping ratio.

Main Results:

  • The quantum walk system successfully constructs single-qubit X-gates and two-qubit control gates when the on-site potential is significantly larger than the hopping strength.
  • Coherence time can be extended by increasing the number of sites in the graph.
  • Coherence time is also enhanced by increasing the ratio of potential strength to hopping strength.

Conclusions:

  • The studied quantum walk system offers a viable platform for building robust quantum gates.
  • Strategies for enhancing coherence time through system parameter tuning are identified.
  • The findings provide a foundation for experimental realization of quantum gates with improved stability.