Orthonormal bases of extreme quantumness

Spin anticoherent states acquired recently a lot of attention as the most "quantum" states. Some coherent and anticoherent spin states are known as optimal quantum rotosensors. In this work, we introduce a measure of quantumness for orthonormal bases of spin states, determined by the avera...

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Bibliographic Details
Published in:arXiv.org 2024-01
Main Authors: Rudziński, Marcin, Burchardt, Adam, Życzkowski, Karol
Format: Article
Language:English
Subjects:
Coherence
Qubits (quantum computing)
Representations
Online Access:Get full text
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Summary:Spin anticoherent states acquired recently a lot of attention as the most "quantum" states. Some coherent and anticoherent spin states are known as optimal quantum rotosensors. In this work, we introduce a measure of quantumness for orthonormal bases of spin states, determined by the average anticoherence of individual vectors and the Wehrl entropy. In this way, we identify the most coherent and most quantum states, which lead to orthogonal measurements of extreme quantumness. Their symmetries can be revealed using the Majorana stellar representation, which provides an intuitive geometrical representation of a pure state by points on a sphere. Results obtained lead to maximally (minimally) entangled bases in the \(2j+1\) dimensional symmetric subspace of the \(2^{2j}\) dimensional space of states of multipartite systems composed of \(2j\) qubits. Some bases found are iso-coherent as they consist of all states of the same degree of spin-coherence.
ISSN:2331-8422
DOI:10.48550/arxiv.2306.00532