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Photonic Discrete-time Quantum Walks and Applications
Leonardo Neves1, Graciana Puentes2,3
1Departamento de Física, Universidade Federal de Minas Gerais, Belo Horizonte, MG 31270-901, Brazil.
Entropy (Basel, Switzerland)
|December 3, 2020
Summary
We review photonic implementations of discrete-time quantum walks (DTQW). A novel scheme uses single photons and spatial light modulators for arbitrary DTQW simulations, advancing quantum simulation applications.
Area of Science:
- Quantum Information Science
- Photonics
- Quantum Computing
Background:
- Discrete-time quantum walks (DTQW) are crucial for quantum computation and simulation.
- Photonic implementations offer a scalable platform for realizing quantum dynamics.
- Existing spatial and temporal multiplexing techniques have limitations in simulating arbitrary quantum walk steps.
Purpose of the Study:
- To review existing photonic implementations of discrete-time quantum walks.
- To propose a novel photonic scheme for discrete-time quantum walks.
- To enable arbitrary step simulations in photonic quantum walks.
Main Methods:
- Review of spatial and temporal multiplexing techniques for photonic DTQW.
- Proposal of a novel scheme utilizing transverse spatial modes of single photons.
- Manipulation of photonic modes using programmable spatial light modulators (SLM).
Main Results:
- The proposed scheme allows for simulation of arbitrary DTQW steps, limited only by SLM resolution.
- Demonstrated applicability in quantum simulation of topological effects.
- Exploration of non-local coin operations using two-photon hybrid entanglement.
Conclusions:
- The novel photonic DTQW scheme offers enhanced flexibility for quantum simulations.
- This approach advances the capabilities of photonic quantum simulators.
- Further applications in topological physics and quantum information processing are highlighted.
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