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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.
Scientific Reports
|December 8, 2020
Summary
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.
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.
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