Noise Decoupling for State Transfer in Continuous Variable Systems

TL;DR

This paper introduces a noise decoupling protocol for continuous variable quantum systems that can effectively mitigate certain noise channels during state transfer, using interventions that are faster than the noise dynamics.

Contribution

It proposes a novel noise decoupling method for continuous variable systems with linear and quadratic noise, enabling improved state transfer fidelity.

Findings

Decoupling protocol successfully recovers the target state under constant noise.

Fast interventions can decouple general noise profiles.

Numerical simulations validate the effectiveness of the proposed method.

Abstract

We consider a toy model of noise channels, given by a random mixture of unitary operations, for state transfer problems with continuous variables. Assuming that the path between the transmitter node and the receiver node can be intervened, we propose a noise decoupling protocol to manipulate the noise channels generated by linear and quadratic polynomials of creation and annihilation operators, to achieve an identity channel, hence the term noise decoupling. For random constant noise, the target state can be recovered while for the general noise profile, the decoupling can be done when the interventions are fast compared to the noise. We show that the state at the transmitter can be written as a convolution of the target state and a filter function characterizing the noise and the manipulation scheme. We also briefly discuss that a similar analysis can be extended to the case of higher-order polynomial generators. Finally, we demonstrate the protocols by numerical calculations.