High-fidelity state transfer via quantum walks from delocalized states
arXiv:2112.03429 · doi:10.1007/s11128-024-04308-x
Abstract
We study the state transfer through quantum walks placed on a bounded one-dimensional path. We first consider continuous-time quantum walks from a Gaussian state. We find such a state when superposing centered on the starting and antipodal positions preserves a high fidelity for a long time and when sent on large circular graphs. Furthermore, it spreads with a null group velocity. We also explore discrete-time quantum walks to evaluate the qubit fidelity throughout the walk. In this case, the initial state is a product of states between a qubit and a Gaussian superposition of position states. Then, we add two gates to confine this delocalized qubit. We also find that this bounded system dynamically enables periodic recovery of the initial separable state. We outline some applications of our results in dynamic graphs and propose quantum circuits to implement them based on the available literature.
arXiv comment27 pages, 14 figures, one column
References in corpus (44)
- Concentrating Partial Entanglement by Local Operations
- Quantum random walks - an introductory overview
- Quantum Computation and Decision Trees
- Quantum fingerprinting
- Universal computation by quantum walk
- Quantum walks: a comprehensive review
- Synthesis of Quantum Logic Circuits
- Photonic quantum information processing: a review
- Universal quantum computation using the discrete time quantum walk
- Quantum Communication through Spin Chain Dynamics: an Introductory Overview
- Dynamics and manipulation of entanglement in coupled harmonic systems with many degrees of freedom
- The Propagation of Quantum Information Through a Spin System
- Spin Chains as Perfect Quantum State Mirrors
- Photonic quantum walk in a single beam with twisted light
- Quantum walks and wavepacket dynamics on a lattice with twisted photons
- Quantum arithmetic with the Quantum Fourier Transform
- 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
- Optimal dynamics for quantum-state and entanglement transfer through homogeneous quantum wires
- Quantum walk on the line: entanglement and non-local initial conditions
- Efficient Quantum Walk on a Quantum Processor
- Two-dimensional topological quantum walks in the momentum space of structured light
- Dynamically Disordered Quantum Walk as a Maximal Entanglement Generator
- Discrete Time Quantum Walk Approach to State Transfer
- Optimal state encoding for quantum walks and quantum communication over spin systems
- Excitation and Entanglement Transfer Versus Spectral Gap
- Experimental Implementation of Quantum Walks on IBM Quantum Computers
- Entangling Power of Disordered Quantum Walks
- Distribution of chirality in the quantum walk: Markov process and entanglement
- Tailoring discrete quantum walk dynamics via extended initial conditions: Towards homogeneous probability distributions
- Experimental demonstration of quantum walks with initial superposition states
- Group Velocity of Discrete-Time Quantum Walks
- Creating cat states in one-dimensional quantum walks using delocalized initial states
- Asymptotic entanglement in quantum walks from delocalized initial states
- Continuous-Time Quantum Walks on Dynamic Graphs
- Weak disorder enhancing the production of entanglement in quantum walks
- Connecting velocity and entanglement in quantum walks
- Transport of Correlations in a Harmonic Chain
- Trojan Quantum Walks
- Simulating noisy quantum channels via quantum state preparation algorithms
- Controlling quantum state transfer in spin chain with the confined field
- Exact generation of quantum states by the dynamics of spin chains
- Quantum Corralling
- How efficient is transport of quantum cargo through multiple highways?