Iso-entangled bases and joint measurements
- URL: http://arxiv.org/abs/2307.06998v1
- Date: Thu, 13 Jul 2023 18:00:51 GMT
- Title: Iso-entangled bases and joint measurements
- Authors: Flavio Del Santo, Jakub Czartowski, Karol \.Zyczkowski, and Nicolas
Gisin
- Abstract summary: We provide 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.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- 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.
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