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Quantum Network Models and Topological Insulators

Monica Pate, Liang Fu

Bulletin of the American Physical SocietyMar 19, 20130 citations

Topological quantum walks in cavity-based quantum networks

Ya Meng, Feng Mei, Gang Chen +1 more

We present a protocol to implement discrete-time quantum walks and simulate topological insulator phases in cavity-based quantum networks, where the single photon is the quantum walker and the cavity input-output process is employed to realize the state-dependent translation operation. Different topological phases can be simulated through tuning the single-photon polarization rotation angles. We show that both the topological boundary states and topological phase transitions can be directly observed via measuring the final photonic density distribution. Moreover, we also demonstrate that these topological signatures are quite robust to practical imperfections. Our work opens a new prospect using cavity-based quantum networks as quantum simulators to study discrete-time quantum walks and mimic condensed matter physics.We present a protocol to implement discrete-time quantum walks and simulate topological insulator phases in cavity-based quantum networks, where the single photon is the quantum walker and the cavity input-output process is employed to realize the state-dependent translation operation. Different topological phases can be simulated through tuning the single-photon polarization rotation angles. We show that both the topological boundary states and topological phase transitions can be directly observed via measuring the final photonic density distribution. Moreover, we also demonstrate that these topological signatures are quite robust to practical imperfections. Our work opens a new prospect using cavity-based quantum networks as quantum simulators to study discrete-time quantum walks and mimic condensed matter physics.

arXiv:1902.08353Feb 22, 20191 citation

Implementing a topological quantum model using a cavity lattice

Ze-Liang Xiang, Ting Yu, Wenxian Zhang +2 more

arXiv:1208.5539Science China Physics Mechanics and AstronomyJul 23, 201213 citations

Quantum walks and entanglement in cavity networks

C. Di Fidio, Laura Ares, Jan Sperling

For harnessing the full potential of quantum phenomena, light-matter interfaces and complexly connected quantum networks are required, relying on the joint quantum operation of different physical platforms. In this work, we analyze the quantum properties of multipartite quantum systems, consisting of an arbitrarily large collection of optical cavities with two-level atoms. In particular, we explore quantum walks in such systems and determine the resulting entanglement. Realistic imperfections are included in the model as optical losses and spontaneous decays of atoms. The topology of torus and the nonorientable M\"obius strip serve as examples of complex networks that we consider, demonstrating the versatility of our approach and resulting in interesting quantum dynamics and interference effects for quantum simulation applications.For harnessing the full potential of quantum phenomena, light-matter interfaces and complexly connected quantum networks are required, relying on the joint quantum operation of different physical platforms. In this work, we analyze the quantum properties of multipartite quantum systems, consisting of an arbitrarily large collection of optical cavities with two-level atoms. In particular, we explore quantum walks in such systems and determine the resulting entanglement. Realistic imperfections are included in the model as optical losses and spontaneous decays of atoms. The topology of torus and the nonorientable M\"obius strip serve as examples of complex networks that we consider, demonstrating the versatility of our approach and resulting in interesting quantum dynamics and interference effects for quantum simulation applications.

arXiv:2404.11331Physical Review AJul 10, 20243 citations

Spontaneous parametric downconversion and quantum walk topology

Graciana Puentes

We propose a novel scheme for the all-optical quantum simulation of topological phases by means of implementation of a discrete-time quantum walk architecture. The main novel ingredient is the inclusion of the nonlinear process of spontaneous parametric downconversion (SPDC) along the quantum network. By means of a simple theoretical model, the interplay between quantum walk lattice topology and spatial correlations of biphotons produced by SPDC is numerically explored. We describe different optical detection methods suitable for the implementation of our proposed experimental scheme.We propose a novel scheme for the all-optical quantum simulation of topological phases by means of implementation of a discrete-time quantum walk architecture. The main novel ingredient is the inclusion of the nonlinear process of spontaneous parametric downconversion (SPDC) along the quantum network. By means of a simple theoretical model, the interplay between quantum walk lattice topology and spatial correlations of biphotons produced by SPDC is numerically explored. We describe different optical detection methods suitable for the implementation of our proposed experimental scheme.

arXiv:1510.03089Journal of the Optical Society of America BFeb 23, 20167 citations

Topological quantum computation

Tapio Simula

Morgan & Claypool Publishers eBooksJul 1, 201913 citations

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