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Gradient Echo Quantum Memory in Warm Atomic Vapor
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Quantum control using quantum memory.

Mathieu Roget1,2, Basile Herzog1,3, Giuseppe Di Molfetta4,5

  • 1Aix-Marseille Université, Université de Toulon, CNRS, LIS, Marseille, France.

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Summary
This summary is machine-generated.

We developed a quantum numerical scheme to precisely control quantum walker dynamics. By using quantum memory, initial states dictate walker trajectories, enabling simulations for quantum devices and field theories.

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Area of Science:

  • Quantum physics
  • Computational physics
  • Quantum information science

Background:

  • Controlling quantum systems is crucial for advancing quantum computing and simulations.
  • Quantum walkers offer a platform for studying quantum dynamics and simulating complex systems.
  • Current methods for controlling quantum walker dynamics can be complex and require continuous adjustments.

Purpose of the Study:

  • To propose a novel quantum numerical scheme for precise control over quantum walker dynamics.
  • To demonstrate that control can be achieved by manipulating the initial state of the quantum system.
  • To explore the potential for simulating quantum field theories on quantum devices.

Main Methods:

  • Development of a quantum numerical scheme incorporating quantum memory for each spatial grid point.
  • Analytical derivation of methods to encode arbitrary walker mean trajectories and variances into the initial state.
  • Simulation of a two-dimensional space-time grid for the quantum walker.

Main Results:

  • The proposed scheme allows for exact, one-time control of quantum walker dynamics via initial state preparation.
  • Demonstrated analytical encoding of desired walker trajectories and statistical properties (mean and variance).
  • The control mechanism is shown to be independent of the system's evolution after initialization.

Conclusions:

  • The developed quantum numerical scheme offers a powerful and simplified method for controlling quantum walkers.
  • This approach significantly advances the feasibility of implementing complex physics models on near-term quantum hardware.
  • Opens new avenues for simulating quantum field theories, particularly in curved spacetime manifolds.