Decomposition of split-step quantum walks for simulating Majorana modes and edge states
arXiv:1703.05938 · doi:10.1103/PhysRevA.95.052351
Abstract
We construct a decomposition procedure for converting split-step quantum walks into ordinary quantum walks with alternating coins, and we show that this decomposition enables a feasible linear optical realization of split-step quantum walks by eliminating quantum-control requirements. As salient applications, we show how our scheme will simulate Majorana modes and edge states.
References in corpus (17)
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Non-Abelian Anyons and Topological Quantum Computation
- A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
- Optical spin-to-orbital angular momentum conversion in inhomogeneous anisotropic media
- Exploring Topological Phases With Quantum Walks
- A 2D Quantum Walk Simulation of Two-Particle Dynamics
- Quantum walks and wavepacket dynamics on a lattice with twisted photons
- Symmetries, Topological Phases and Bound States in the One-Dimensional Quantum Walk
- Photonic quantum walk in a single beam with twisted light
- Dynamical moments reveal a topological quantum transition in a photonic quantum walk
- Mimicking the probability distribution of a two-dimensional Grover walk with a single-qubit coin
- Unveiling hidden topological phases of a one-dimensional Hadamard quantum walk
- Robustness of topologically protected edge states in quantum walk experiments with neutral atoms
- Localization, delocalization, and topological phase transitions in the one-dimensional split-step quantum walk
- Bulk-edge correspondence of one-dimensional quantum walks
- Implementation of multidimensional quantum walks using linear optics and classical light
- Symmetry Protected Topological Phases and Majorana Mode in One-dimensional Quantum Walk with Boundary
Cited by in corpus (10)
- Quantum walks and Dirac cellular automata on a programmable trapped-ion quantum computer
- Quantum topology identification with deep neural networks and quantum walks
- Simulating Dirac Hamiltonian in Curved Space-time by Split-step Quantum Walk
- Bounds on the dynamics of periodic quantum walks and emergence of the gapless and gapped Dirac equation
- Persistence of Topological Phases in Non-Hermitian Quantum Walks
- Topological quantum walks: theory and experiments
- Stability of topologically protected edge states in nonlinear quantum walks: Additional bifurcations unique to Floquet systems
- Quantum walker as a probe for its coin parameter
- Optical realization of one-dimensional generalized split-step quantum walks
- Photonic cellular automaton simulation of relativistic quantum fields: observation of Zitterbewegung