Photonic Discrete-time Quantum Walks and Applications

Abstract

We present a review of photonic implementations of discrete-time quantum walks (DTQW) in the spatial and temporal domains, based on spatial- and time-multiplexing techniques, respectively. Additionally, we propose a detailed novel scheme for photonic DTQW, using transverse spatial modes of single photons and programmable spatial light modulators (SLM) to manipulate them. Unlike all previous mode-multiplexed implementations, this scheme enables simulation of an arbitrary step of the walker, only limited, in principle, by the SLM resolution. We discuss current applications of such photonic DTQW architectures in quantum simulation of topological effects and the use of non-local coin operations based on two-photon hybrid entanglement.

arXiv comment17 pages, 5 figures. arXiv admin note: text overlap with arXiv:1609.07572

References in corpus (48)

• Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• Quantum Communication Through an Unmodulated Spin Chain
• Quantum random walks - an introductory overview
• Perfect state transfer in quantum spin networks
• Ultra-bright source of polarization-entangled photons
• Direct Measurement of the Zak phase in Topological Bloch Bands
• Universal computation by quantum walk
• Quantum walks of correlated particles
• Dephasing assisted transport: Quantum networks and biomolecules
• Boson Sampling on a Photonic Chip
• Experimental Boson Sampling
• Experimental boson sampling in arbitrary integrated photonic circuits
• Photonic Boson Sampling in a Tunable Circuit
• Observation of topologically protected bound states in a one dimensional photonic system
• Photons Walking the Line: A quantum walk with adjustable coin operations
• Two-particle bosonic-fermionic quantum walk via 3D integrated photonics
• Exploring Topological Phases With Quantum Walks
• The Zak phase and the existence of edge states in graphene
• Realization of a quantum walk with one and two trapped ions
• Anderson localization of entangled photons in an integrated quantum walk
• A 2D Quantum Walk Simulation of Two-Particle Dynamics
• Discrete single-photon quantum walks with tunable decoherence
• 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
• Efficient experimental validation of photonic boson sampling against the uniform distribution
• On the experimental verification of quantum complexity in linear optics
• Symmetries, Topological Phases and Bound States in the One-Dimensional Quantum Walk
• Electric quantum walks with individual atoms
• Quantum walks of correlated photon pairs in two-dimensional waveguide arrays
• A road to reality with topological superconductors
• Topological phases and delocalization of quantum walks in random environments
• Trapping a particle of a quantum walk on the line
• Unveiling hidden topological phases of a one-dimensional Hadamard quantum walk
• Experimental minimum-error quantum-state discrimination in high dimensions
• Hybrid photonic entanglement: Realization, characterization and applications
• Bulk-edge correspondence of one-dimensional quantum walks
• Preparing arbitrary pure states of spatial qudits with a single phase-only spatial light modulator
• Experimental simulation of decoherence in photonics qudits
• Entanglement engineering and topological protection by discrete-time quantum walks
• Emergence of Randomness and Arrow of Time in Quantum Walks
• Observation of Entanglement-Dependent Two-Particle Holonomic Phase
• Maximally Entangled Mixed-State Generation via Local Operations
• Topology, Holonomy, and Quantum Walks
• Quantum Walk Topology and Spontaneous Parametric Down Conversion

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• Efficient implementation of discrete-time quantum walks on quantum computers
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• Enhancing entanglement with the generalized elephant quantum walk from localized and delocalized states
• Negative correlations can play a positive role in disordered quantum walks
• Spin-Orbit Interactions of Light: Fundamentals and Emergent Applications
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