Prediction-retrodiction measurements for teleportation and conditional state transfer

TL;DR

This paper explores how continuous time-non-local measurements can enable quantum state transfer, including teleportation, between oscillators by establishing a relation between past and future states, extending beyond traditional interaction types.

Contribution

It introduces strategies for perfect quantum state transfer using time-non-local measurements in linear oscillator-field interactions, surpassing standard beam-splitter and two-mode-squeezing models.

Findings

Continuous measurements can transfer quantum states effectively.

Strategies identified work across various linear interactions.

Perfect state transfer is achievable beyond traditional models.

Abstract

Regular measurements allow predicting the future and retrodicting the past of quantum systems. Time-non-local measurements can leave the future and the past uncertain, yet establish a relation between them. We show that continuous time-non-local measurements can be used to transfer a quantum state via teleportation or direct transmission. Considering two oscillators probed by traveling fields, we analytically identify strategies for performing the state transfer perfectly across a wide range of linear oscillator-field interactions beyond the pure beamsplitter and two-mode-squeezing types.