Topological quantum walks in cavity-based quantum networks
arXiv:1902.08353
Abstract
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 comment9 pages, 5 figures
References in corpus (40)
- Topological Insulators
- Topological insulators and superconductors
- A single-photon transistor using nano-scale surface plasmons
- Cavity-based quantum networks with single atoms and optical photons
- Quantum walks of correlated particles
- Scalable photonic quantum computation through cavity-assisted interaction
- Quantum Walk in Position Space with Single Optically Trapped Atoms
- Observation of topologically protected bound states in a one dimensional photonic system
- Photons Walking the Line: A quantum walk with adjustable coin operations
- Exploring Topological Phases With Quantum Walks
- Realization of a quantum walk with one and two trapped ions
- Universal quantum computation using the discrete time quantum walk
- Anderson localization of entangled photons in an integrated quantum walk
- Quantum walk of a trapped ion in phase space
- A 2D Quantum Walk Simulation of Two-Particle Dynamics
- Discrete single-photon quantum walks with tunable decoherence
- A Quantum Gate between a Flying Optical Photon and a Single Trapped Atom
- Decoherence and disorder in quantum walks: From ballistic spread to localization
- Detection of Zak phases and topological invariants in a chiral quantum walk of twisted photons
- A photon-photon quantum gate based on a single atom in an optical resonator
- Bulk--Boundary Correspondence for Chiral Symmetric Quantum Walks
- Nondestructive Detection of an Optical Photon
- Detecting topological invariants in nonunitary discrete-time quantum walks
- Electric quantum walks with individual atoms
- Dynamical moments reveal a topological quantum transition in a photonic quantum walk
- Photon-Mediated Quantum Gate between Two Trapped Neutral Atoms in an Optical Cavity
- Realizing Quantum Controlled Phase Flip through Cavity-QED
- Universal quantum computation in deocoherence-free subspace with neutral atoms
- Optically controlled phase gate and teleportation of a controlled-NOT gate for spin qubits in quantum dot-microcavity coupled system
- Cavity Carving of Atomic Bell States
- Unveiling hidden topological phases of a one-dimensional Hadamard quantum walk
- Discrete Time Quantum Walk Approach to State Transfer
- Scattering theory of topological phases in discrete-time quantum walks
- Robustness of topologically protected edge states in quantum walk experiments with neutral atoms
- Implementation of controlled SWAP gates for quantum fingerprinting and photonic quantum computation
- Large scale quantum walks by means of optical fiber cavities
- Scalable quantum information processing with atomic ensembles and flying photons
- One-step implementation of multiqubit phase gate with one control qubit and multiple target qubits in coupled cavities
- Quantum entanglement distribution with hybrid parity gate
- Entanglement of remote material qubits through nonexciting interaction with single photons