Spin chains for robust state transfer: Modified boundary couplings vs. completely engineered chains

Abstract

Quantum state transfer in the presence of noise is one of the main challenges in building quantum computers. We compare the quantum state transfer properties for two classes of qubit chains under the influence of static randomness. In fully engineered chains all nearest-neighbor couplings are tuned in such a way that a single-qubit state can be transferred perfectly between the ends of the chain, while in boundary-controlled chains only the two couplings between the transmitting and receiving qubits and the remainder of the chain can be optimized. We study how the noise in the couplings affects the state transfer fidelity depending on the noise model and strength as well as the chain type and length. We show that the desired level of fidelity and transfer time are important factors in designing a chain. In particular we demonstrate that transfer efficiency comparable or better than that of the most robust engineered systems can also be reached in boundary-controlled chains without the demanding engineering of a large number of couplings.

6 pages, 4 figures

References in corpus (22)

• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Perfect Transfer of Arbitrary States in Quantum Spin Networks
• Quantum Communication through Spin Chain Dynamics: an Introductory Overview
• Mirror Inversion of Quantum States in Linear Registers
• The Propagation of Quantum Information Through a Spin System
• Robust Quantum State Transfer in Random Unpolarized Spin Chains
• Spin Chains as Perfect Quantum State Mirrors
• Effective spin systems in coupled micro-cavities
• Perfect State Transfer: Beyond Nearest-Neighbor Couplings
• Electron wavepacket propagation and entanglement in a chain of coupled quantum dots
• Non-Perturbative Entangling Gates between Distant Qubits using Uniform Cold Atom Chains
• From perfect to fractal transmission in spin chains
• Robustness of spin-coupling distributions for perfect quantum state transfer
• Long quantum channels for high-quality entanglement transfer
• Entanglement dynamics in chains of qubits with noise and disorder
• Perfect state transfer in networks of arbitrary topology and coupling configuration
• Optimal quantum chain communication by end gates
• Indirect Quantum Tomography of Quadratic Hamiltonians
• Coherent population transfer in a chain of tunnel coupled quantum dots
• Theoretical analysis of perfect quantum state transfer with superconducting qubits
• Effect of perturbations on information transfer in spin chains
• All Possible Coupling Schemes in XY Spin Chains for Perfect State Transfer

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• Teleportation via spin-1/2 chain in solid-state quantum architecture
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