Quantum Corralling

Abstract

We propose a robust and efficient way to store and transport quantum information via one-dimensional discrete time quantum walks. We show how to attain an effective dispersionless wave packet evolution using only two types of local unitary operators (quantum coins or gates), properly engineered to act at predetermined times and at specific lattice sites during the system's time evolution. In particular, we show that a qubit initially localized about a Gaussian distribution can be almost perfectly confined during long times or sent hundreds lattice sites away from its original location and later almost perfectly reconstructed using only Hadamard and ${\sigma }_x$ gates.

arXiv comment8 pages, 5 figures, two column, RevTex4; v2: published version with new figure and references

References in corpus (54)

• Quantum Communication Through an Unmodulated Spin Chain
• Quantum random walks - an introductory overview
• Perfect state transfer in quantum spin networks
• A Quantum Random Walk Search Algorithm
• Universal computation by quantum walk
• Quantum walks: a comprehensive review
• Perfect Transfer of Arbitrary States in Quantum Spin Networks
• Universal quantum computation using the discrete time quantum walk
• Anderson localization of entangled photons in an integrated quantum walk
• Mirror Inversion of Quantum States in Linear Registers
• Dynamics and manipulation of entanglement in coupled harmonic systems with many degrees of freedom
• Unmodulated spin chains as universal quantum wires
• The Propagation of Quantum Information Through a Spin System
• Spin Chains as Perfect Quantum State Mirrors
• Quantum walks and wavepacket dynamics on a lattice with twisted photons
• Photonic quantum walk in a single beam with twisted light
• Entanglement dynamics and quantum state transport in spin chains
• Faster quantum walk algorithm for the two dimensional spatial search
• Quantum state transfer via the ferromagnetic chain in a spatially modulated field
• High efficiency transfer of quantum information and multi-particle entanglement generation in translation invariant quantum chains
• Quantum state transmission via a spin ladder as a robust data bus
• Electron wavepacket propagation and entanglement in a chain of coupled quantum dots
• Perfect state transfer in long-range interacting spin chains
• Optimal dynamics for quantum-state and entanglement transfer through homogeneous quantum wires
• Number-Theoretic Nature of Communication in Quantum Spin Systems
• From perfect to fractal transmission in spin chains
• 99%-fidelity ballistic quantum-state transfer through long uniform channels
• Dynamically Disordered Quantum Walk as a Maximal Entanglement Generator
• Quantum-state transfer via resonant tunnelling through local field induced barriers
• Discrete Time Quantum Walk Approach to State Transfer
• Excitation and Entanglement Transfer Versus Spectral Gap
• Transfer of arbitrary two qubit states via a spin chain
• Entangling Power of Disordered Quantum Walks
• Topologically protected localised states in spin chains
• Robust Quantum Entanglement Generation and Generation-plus-Storage Protocols with Spin Chains
• Peierls distorted chain as a quantum data bus for quantum state transfer
• Robust state transfer with high fidelity in spin-1/2 chains by Lyapunov control
• Pretty good state transfer of entangled states through quantum spin chains
• Experimental demonstration of quantum walks with initial superposition states
• Quantum-state transfer in spin chains via isolated resonance of terminal spins
• Disorder-assisted distribution of entanglement in $XY$ spin chains
• High-fidelity state transfer through long-range correlated disordered quantum channels
• Asymptotically perfect efficient quantum state transfer across uniform chains with two impurities
• Asymptotic entanglement in quantum walks from delocalized initial states
• Almost perfect transport of an entangled two-qubit state through a spin chain
• Connecting velocity and entanglement in quantum walks
• Can A Universal Quantum Cloner Be Used to Design an Experimentally Feasible Near-Deterministic CNOT Gate ?
• Transport of Correlations in a Harmonic Chain
• Trojan Quantum Walks
• Almost perfect transmission of multipartite entanglement through disordered and noisy spin chains
• Entanglement generation between distant parties via disordered spin chains
• Robust and efficient transport of two-qubit entanglement via disordered spin chains
• How efficient is transport of quantum cargo through multiple highways?
• Non-dispersing wave packets in lattice Floquet systems

Cited by in corpus (5)

• Parrondo's paradox in quantum walks with inhomogeneous coins
• High-fidelity state transfer via quantum walks from delocalized states
• Absorption-based qubit estimation in discrete-time quantum walks
• Continuous-time quantum walks on a defective lattice: Boosting the spreading of delocalized states through Parrondo's strategy
• Directionality and quantum backfire in continuous-time quantum walks from delocalized states: Exact results