Iso-entangled bases and joint measurements

Abstract

While entanglement between distant parties has been extensively studied, entangled measurements have received relatively little attention despite their significance in understanding non-locality and their central role in quantum computation and networks. We present a systematic study of entangled measurements, providing a complete classification of all equivalence classes of iso-entangled bases for projective joint measurements on 2 qubits. The application of this classification to the triangular network reveals that the Elegant Joint Measurement, along with white noise, is the only measurement resulting in output permutation invariant probability distributions when the nodes are connected by Werner states. The paper concludes with a discussion of partial results in higher dimensions.

arXiv comment5 pages + appendices

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Cited by in corpus (8)

• Classification of joint quantum measurements based on entanglement cost of localization
• Symmetric quantum joint measurements on multiple qubits
• A more generalized two-qubit symmetric quantum joint measurement
• Transforming graph states via Bell state measurements
• Symmetric Localizable Multipartite Quantum Measurements from Pauli Orbits
• Structure of quantum measurements implementable with one round of classical communication
• Localization of joint quantum measurements on ${\mathbb{C}}^d\otimes {\mathbb{C}}^d$ by entangled resources with Schmidt number at most $d$
• Entanglement concentration via measurement:- role of imaginarity