Efficient verification and fidelity estimation of discrete bipartite squeezed states

TL;DR

This paper presents methods for efficiently verifying and estimating the fidelity of discrete bipartite squeezed states generated by a specific Hamiltonian, utilizing local measurements to simplify the process.

Contribution

It introduces a novel approach for verifying and estimating fidelity of entangled bipartite squeezed states using local measurements, applicable to states produced by a two-qudit squeezing Hamiltonian.

Findings

Efficient local measurement protocols for state verification.

Direct fidelity estimation methods for bipartite squeezed states.

Application to states generated by two-qudit single-axis squeezing Hamiltonian.

Abstract

To gain an advantage, quantum technologies utilize phenomena particular to quantum mechanics. Two such phenomena are squeezing and entanglement. Having generated states that exhibit these features, verification of their generation with local measurements can be a difficult process. Here we consider the states that are generated using the two-qudit single-axis squeezing Hamiltonian, that not only produces entangled two-qudit squeezed states but also results in various forms of interesting entangled states. We show how one can use local measurements to both efficiently verify and directly estimate the fidelity of these generated states.