Nonlocal dissipative tunneling for high-fidelity quantum-state transfer between distant parties

Abstract

In this work, we propose the nonlocal tunneling mechanism for high-fidelity state transfer between distant parties. The nonlocal tunneling follows from the overlap between the distant sending and receiving wave functions, which is indirectlymediated by the off-resonant normal modes of a quantum channel. This channel is made up of a network of dissipative quantum systems exhibiting the same bosonic or fermionic statistical nature as the sender and receiver. We demonstrate that the incoherence arising from quantum channel nonidealities is almost completely circumvented by the tunneling mechanism, which thus affords a high-fidelity transfer process.

Quantum state transfer in optomechanical arrays

“…On the other hand, on resonant schemes [25] the shorter transfer time possible corresponds to τ A = τ B = (π/λ) 2(N + 1), and for tunneling-like protocol [26] with same parameters and conditions ω 1 m = ω N m = ω m +δ and λ ≪ δ ≪ J, we obtain transfer times…”

“…In addition, other interesting aspects to study are the "pretty good state transfer" schemes in Ref. [6], and the generation of long distance quantum entanglement between sites [26].…”

“…However, we stress that any other protocol could have been chosen for this purpose. For example, schemes based on eigenmodes, where one of many possibilities that permit quantum state transfer is the following set of parameters: On the other hand, on resonant schemes [25] the shorter transfer time possible corresponds to τ A = τ B = (π/λ) 2(N + 1), and for tunneling-like protocol [26] with same parameters and conditions ω 1 m = ω N m = ω m +δ and λ ≪ δ ≪ J, we obtain transfer times τ A = τ B = N πδ/2λ 2 .…”

“…However, alternative strategies are based on the idea of eigenmode mediated state transfer and rely on a perturbative coupling and ensure resonance between the common frequency of the sender and the receiver and a single normal mode of the QDB [25] or a tunneling-like mechanism, described by a two-body Hamiltonian, which allows either a bosonic or a fermionic state to be transferred directly from the sender to the receiver, without populating the QDB [26].…”