Quantum queries associated with equi-partitioning of states and multipartite relational encoding across space-time

TL;DR

This paper explores quantum query capacities related to state partitioning and reviews the encoding of multipartite states across space-time, shedding light on quantum nonlocality and its implications for quantum computation.

Contribution

It introduces a detailed analysis of quantum query capacities linked to equi-partitions and critically reviews multipartite relational encoding across space-time regions.

Findings

Quantum queries relate to equi-partitions of orthogonal states.

Parity properties influence quantum computational capacities.

Relational encoding highlights nonlocality in multipartite states.

Abstract

In the first part of this paper we analyze possible quantum computational capacities due to quantum queries associated with equi-partitions of pure orthogonal states. Special emphasis is given to the parity of product states and to functional parity. The second part is dedicated to a critical review of the relational encoding of multipartite states across (space-like separated) space-time regions; a property often referred to as "quantum nonlocality."