Continuous variable quantum teleportation using photon subtracted and photon added two mode squeezed coherent state

TL;DR

This paper investigates how photon subtraction and addition on two-mode squeezed coherent states affect the fidelity of continuous variable quantum teleportation, providing analytical tools and experimental considerations for optimizing teleportation performance.

Contribution

It derives the Wigner characteristic function for photon subtracted and added TMSC states, enabling analysis of their effectiveness as resource states in CV quantum teleportation.

Findings

Symmetric photon subtraction improves teleportation fidelity across various squeezing levels.

Asymmetric photon subtraction offers marginal benefits only at low squeezing.

Photon addition operations are less effective, with some marginal improvements and others useless.

Abstract

We consider non-Gaussian states generated by photon subtraction (PS) and photon addition (PA) on two-mode squeezed coherent (TMSC) states, as resource states for continuous variable (CV) quantum teleportation (QT). To this end, we derive the Wigner characteristic function for the family of photon subtracted and photon added TMSC states, which is then utilized to calculate the fidelity of teleporting a single mode coherent state and a squeezed vacuum state. The analysis shows that while symmetric PS enhances the fidelity of QT in an extensive range of squeezing, asymmetric PS enhances the performance marginally and only in the low squeezing regime. The addition operations on the other hand are less useful, symmetric three-PA leads to a marginal improvement while the other addition operations are useless. We have considered the actual experimental setup for PS and PA operations and computed their success probabilities which should be kept in mind while advocating the use of these operations. We could compute the fidelity of QT for a broad range of states because we analytically derived the Wigner characteristic function for these family of states which we think will be useful for various other applications of these families of states.