Transfer of scaled multiple quantum coherence matrices

TL;DR

This paper introduces a method for transferring multiple quantum coherence matrices in NMR systems by scaling specific blocks of the sender's density matrix, offering an alternative to perfect state transfer with potential for preserving certain coherence states.

Contribution

It proposes a novel block-scaled transfer technique for MQ NMR coherence spectra, enabling controlled scaling and preservation of specific coherence matrices during transfer.

Findings

Block-scaled transfer preserves coherence order separation.

Equal scaling of higher order MQ-coherences is achievable.

States with preserved zero-order coherence can be transferred.

Abstract

Multiple quantum (MQ) NMR coherence spectra, which can be obtained experimentally in MQ NMR, can be transferred from the sender to the remote receiver without mixing the MQ-coherences of different orders and distortions. The only effect of such transfer is scaling of the certain blocks of sender's density matrix (matrices of MQ-coherences of different order). Such a block-scaled transfer is an alternative to the perfect state transfer. In particular, equal scaling of higher order MQ-coherences matrices is possible. Moreover, there are states which can be transferred to the receiver preserving their zero-order coherence matrix. The examples of block-scaled transfer in spin-1/2 communication lines of 6 and 42 nodes with two-qubit sender and receiver are presented.