Fast high-fidelity multi-qubit state transfer with long-range interactions

Abstract

We describe an efficient protocol to perform quantum state transfer using Hamiltonian dynamics with long-range interactions. The time to transfer $n$ qubits a sufficiently large distance is proportional to $\sqrt{n}$. Even without error correction, the fidelity of this multi-qubit state transfer process remains finite for arbitrarily well-separated qubits in the presence of uncorrelated random errors in coupling constants.

14 pages, 6 figures

References in corpus (4)

• Perfect State Transfer: Beyond Nearest-Neighbor Couplings
• Perfect state transfer in long-range interacting spin chains
• Perfect state transfer in networks of arbitrary topology and coupling configuration
• Perfect transfer of multiple excitations in quantum networks

Cited by in corpus (9)

• Speed limits and locality in many-body quantum dynamics
• Optimal Frobenius light cone in spin chains with power-law interactions
• Transfer of 0-order coherence matrix along spin-1/2 chain
• Fast and Accurate Greenberger-Horne-Zeilinger Encoding Using All-to-all Interactions
• M-neighbor approximation in one-qubit state transfer along zigzag and alternating spin-1/2 chains
• Frobenius light cone and the shift unitary
• Lieb-Robinson bounds with exponential-in-volume tails
• Exact solution of a family of staggered Heisenberg chains with conclusive pretty good quantum state transfer
• Expediting quantum state transfer through the long-range extended XY model