scholarly journals Tunable Topological Beam Splitter in Superconducting Circuit Lattice

2020 ◽  
Vol 3 (1) ◽  
pp. 1-12
Author(s):  
Lu Qi ◽  
Yan Xing ◽  
Xue-Dong Zhao ◽  
Shutian Liu ◽  
Xue Han ◽  
...  
Keyword(s):  
Beam Splitter ◽  
Nearest Neighbor ◽  
Quantum Information Processing ◽  
Edge States ◽  
Superconducting Circuit ◽  
Topological Quantum ◽  
Site Disorder ◽  
Photon Splitting ◽  
Quantum Optical ◽  
Ssh Model

In the usual Su–Schrieffer–Heeger (SSH) model with an even number of lattice sites, the topological pumping between left and right edge states cannot be easily realized since the edge states occupy two-end sites simultaneously. Here we propose a scheme to investigate the topological edge pumping in an even-sized periodically modulated SSH model mapped by a one dimensional superconducting transmission line resonators array. We find that the photon initially prepared in the first resonator can be finally observed at the two-end resonators with a certain proportion. The final photon splitting at the two-end resonators indicates that the present superconducting circuit is expected to realize the topological beam splitter. Further, we demonstrate that the splitting proportion between the two-end resonators can be arbitrarily tuned from 1 to 0, implying the potential feasibility of implementing the tunable topological beam splitter. Meanwhile, we also show that the tunable topological beam splitter is immune to the mild disorder added into the system due to the topology protection of the zero energy modes, and find that the tunable topological beam splitter is much more robust to the global on-site disorder compared with the nearest neighbor disorder. Our work greatly extends the practical application of topological matter in quantum information processing and opens up a new way towards the engineering of topological quantum optical device.

scholarly journals Tunable super- and subradiant boundary states in one-dimensional atomic arrays

2019 ◽  
Vol 2 (1) ◽  
Author(s):  
Anwei Zhang ◽  
Luojia Wang ◽  
Xianfeng Chen ◽  
Vladislav V. Yakovlev ◽  
Luqi Yuan
Keyword(s):  
Long Range ◽  
Quantum States ◽  
Two Dimensional ◽  
Edge States ◽  
Quantum Metrology ◽  
One Dimensional ◽  
Topological Quantum ◽  
Long Range Interactions ◽  
Boundary States ◽  
Quantum Optical

AbstractEfficient manipulation of quantum states is a key step towards applications in quantum information, quantum metrology, and nonlinear optics. Recently, atomic arrays have been shown to be a promising system for exploring topological quantum optics and robust control of quantum states, where the inherent nonlinearity is included through long-range hoppings. Here we show that a one-dimensional atomic array in a periodic magnetic field exhibits characteristic properties associated with an effective two-dimensional Hofstadter-butterfly-like model. Our work points out super- and sub-radiant topological edge states localized at the boundaries of the atomic array despite featuring long-range interactions, and opens an avenue of exploring an interacting quantum optical platform with synthetic dimensions.

scholarly journals Optical Chirality and Single-Photon Isolation

2020 ◽  
Author(s):  
Lei Tang ◽  
Keyu Xia
Keyword(s):  
Information Processing ◽  
Quantum Information ◽  
Quantum Information Processing ◽  
Single Photon ◽  
Kerr Nonlinearity ◽  
Single Photons ◽  
Optical Isolation ◽  
Optical Chirality ◽  
Magneto Optical Effect ◽  
Quantum Optical

Optical isolation is important for protecting a laser from damage due to the detrimental back reflection of light. It typically relies on breaking Lorentz reciprocity and normally is achieved via the Faraday magneto-optical effect, requiring a strong external magnetic field. Single-photon isolation, the quantum counterpart of optical isolation, is the key functional component in quantum information processing, but its realization is challenging. In this chapter, we present all-optical schemes for isolating the backscattering from single photons. In the first scheme, we show the single-photon isolation can be realized by using a chiral quantum optical system, in which a quantum emitter asymmetrically couples to nanowaveguide modes or whispering-gallery modes with high optical chirality. Secondly, we propose a chiral optical Kerr nonlinearity to bypass the so-called dynamical reciprocity in nonlinear optics and then achieve room-temperature photon isolation with low insertion loss. The concepts we present may pave the way for quantum information processing in an unconventional way.

scholarly journals A high-speed tunable beam splitter for feed-forward photonic quantum information processing

2011 ◽  
Vol 19 (23) ◽  
pp. 22723 ◽  
Author(s):  
Xiao-song Ma ◽  
Stefan Zotter ◽  
Nuray Tetik ◽  
Angie Qarry ◽  
Thomas Jennewein ◽  
...  
Keyword(s):  
Information Processing ◽  
Quantum Information ◽  
High Speed ◽  
Beam Splitter ◽  
Quantum Information Processing ◽  
Feed Forward

scholarly journals Observation of Antichiral Edge States in a Circuit Lattice

2020 ◽  
Author(s):  
Yuting Yang ◽  
Dejun Zhu ◽  
Zhi Hong Hang ◽  
Yidong Chong
Keyword(s):  
Nearest Neighbor ◽  
Electrical Circuit ◽  
Theoretical Studies ◽  
Magnetic Vector Potential ◽  
Edge States ◽  
Magnetic Vector ◽  
Haldane Model ◽  
Unusual Phenomenon ◽  
Key Features ◽  
Group Velocities

Abstract We constructed an electrical circuit to realize a modified Haldane lattice exhibiting the unusual phenomenon of antichiral edge states. The circuit consists of a network of inductors and capacitors with interconnections reproducing the effects of a magnetic vector potential. The next nearest neighbor hoppings are configured differently from the standard Haldane model, and as predicted by earlier theoretical studies, this gives rise to antichiral edge states that propagate in the same direction on opposite edges and co-exist with bulk states at the same frequency. Using pickup coils to measure the voltage distributions in the circuit, we experimentally verify the key features of the modified Haldane lattice, including the group velocities of the antichiral edge states.

scholarly journals Topological edge states of anyon pairs emulated in electric circuits

2021 ◽  
Vol 2015 (1) ◽  
pp. 012127
Author(s):  
A D Rozenblit ◽  
N A Olekhno ◽  
A A Dmitriev ◽  
P S Seregin ◽  
M A Gorlach
Keyword(s):  
Electric Circuit ◽  
Quantum Statistics ◽  
Edge States ◽  
Fractional Quantum ◽  
Electric Circuits ◽  
Numerical Studies ◽  
Topological Quantum ◽  
Theoretical Predictions ◽  
Topological States ◽  
Geometrical Imperfections

Abstract Recent advances in two-particle topological quantum states demonstrate resilience to geometrical imperfections and hold perspectives for robust quantum computations. In this context, particles with fractional quantum statistics, the so-called anyons, attract especial attention. In particular, topological edge states of anyon pairs in one-dimensional chains of coupled cavities were recently predicted to demonstrate localization at one or another edge of the array depending on details of the quantum statistics. In this paper, propose an equivalent electric circuit serving as a classical emulator of such topological states. Detailed numerical studies of resonances in the circuit fully support theoretical predictions, pointing towards future experimental realizations of anyonic states analogs in electrical circuits.

scholarly journals Search for non-Abelian Majorana braiding statistics in superconductors

2020 ◽  
Author(s):  
Carlo Beenakker
Keyword(s):  
Quantum Information ◽  
Parameter Space ◽  
Quantum Information Processing ◽  
Fusion Rule ◽  
Real Space ◽  
Edge Mode ◽  
Zero Modes ◽  
Topological Superconductors ◽  
Topological Quantum ◽  
Basic Concepts

This is a tutorial review of methods to braid non-Abelian anyons (Majorana zero-modes) in topological superconductors. That ``Holy Grail'' of topological quantum information processing has not yet been reached in the laboratory, but there now exists a variety of platforms in which one can search for the Majorana braiding statistics. After an introduction to the basic concepts of braiding we discuss how one might be able to braid immobile Majorana zero-modes, bound to the end points of a nanowire, by performing the exchange in parameter space, rather than in real space. We explain how Coulomb interaction can be used to both control and read out the braiding operation, even though Majorana zero-modes are charge neutral. We ask whether the fusion rule might provide for an easier pathway towards the demonstration of non-Abelian statistics. In the final part we discuss an approach to braiding in real space, rather than parameter space, using vortices injected into a chiral Majorana edge mode as ``flying qubits''.

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