Optimization of remote one- and two-qubit state creation via multi-qubit unitary transformations at sender and receiver sides

TL;DR

This paper investigates optimizing remote one- and two-qubit state creation using multi-qubit unitary transformations at both sender and receiver ends, demonstrating increased communication length with higher dimensionality and analyzing specific state types.

Contribution

It introduces a method to enhance remote quantum state creation by increasing sender and receiver dimensions, and studies the critical length dependence on eigenvalues for two-qubit states.

Findings

Critical length increases with sender and receiver size.

Maximally mixed and almost pure states are considered.

Numerical analysis shows dependence on eigenvalues.

Abstract

We study the optimization problem for remote one- and two-qubit state creation via a homogeneous spin-1/2 communication line using the local unitary transformations of the multi-qubit sender and extended receiver. We show that the maximal length of a communication line used for the needed state creation (the critical length) increases with an increase in the dimensionality of the sender and extended receiver. The model with the sender and extended receiver consisting of up to 10 nodes is used for the one-qubit state creation and we consider two particular states: the almost pure state and the maximally mixed one. Regarding the two-qubit state creation, we numerically study the dependence of the critical length on a particular triad of independent eigenvalues to be created, the model with four-qubit sender without an extended receiver is used for this purpose.