Quasi-perfect state transfer in a bosonic dissipative network

Abstract

In this paper we propose a scheme for quasi-perfect state transfer in a network of dissipative harmonic oscillators. We consider ideal sender and receiver oscillators connected by a chain of nonideal transmitter oscillators coupled by nearest-neighbor resonances. From the algebraic properties of the dynamical quantities describing the evolution of the network state, we derive a criterion, fixing the coupling strengths between all the oscillators, apart from their natural frequencies, enabling perfect state transfer in the particular case of ideal transmitter oscillators. Our criterion provides an easily manipulated formula enabling perfect state transfer in the special case where the network nonidealities are disregarded. By adjusting the common frequency of the sender and the receiver oscillators to be out of resonance with that of the transmitters, we demonstrate that the sender's state tunnels to the receiver oscillator by virtually exciting the nonideal transmitter chain. This virtual process makes negligible the decay rate associated with the transmitter line on the expenses of delaying the time interval for the state transfer process. Apart from our analytical results, numerical computations are presented to illustrate our protocol.

Engineering interactions for quasiperfect transfer of polariton states through nonideal bosonic networks of distinct topologies

“…Finally, we must stress that the present developments generalize and clarify part of a previous work [32] focused on the derivation of a criterion enabling perfect state transfer in the particular case of a network with ideal oscillators. Such a criterion was next extended to dissipative networks where the fidelity of the transferred state decreases due to the loss mechanisms.…”

“…Aiming to circumvent almost completely the adverse effect of decoherence, in Ref. [32] the protocol for quasiperfect state transfer based on the tunneling mechanism was thus proposed for the specific case of a linear data bus. In the present contribution we significantly extend such a protocol by considering different data-bus topologies and analyzing their role on the fidelity and the transferring time of the process.…”

“…Moreover, the tunneling process in the present study is accomplished from a completely different and general perspective, considering the detuning between the sender and receiver with the normal modes of the data bus (instead of the direct adjustment of the common frequency of the former systems to be different from those of the data-bus oscillators, as in Ref. [32]). The present study also clarifies the developments in Ref.…”

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

“…Much of the recent research in the quantum information field has focused on developing new techniques to engineer long-distance entanglement [1][2][3][4] and to obtain high-fidelity communication between distant parties [5][6][7][8]. Mastery of these techniques represents a crucial step toward the practical implementation of quantum computing and communication protocols, and developments have been witnessed within both bosonic and fermionic systems.…”

“…Mastery of these techniques represents a crucial step toward the practical implementation of quantum computing and communication protocols, and developments have been witnessed within both bosonic and fermionic systems. In particular, notable advances in high-efficiency state transfer have been made by adjusting the common frequency of the sender and the receiver to be in resonance with a single normal mode of the quantum channel (QC), i.e., the transmission kernel of the network [5][6][7][8]. The three-body Hamiltonian resulting from this procedure describes perfect state transfer in the ideal case in which all components of the network are lossless systems and all the relevant parameters are perfectly adjusted.…”