Pseudo standard entanglement structure cannot be distinguished from standard entanglement structure

Arai, Hayato1; Hayashi, Masahito1,2,3,4

2023-02-01

10.1088/1367-2630/acb565

NEW JOURNAL OF PHYSICS   Impact Factor & Quartile

1367-2630

An experimental verification of the maximally entangled state ensures that the constructed state is close to the maximally entangled state, but it does not guarantee that the state is exactly the same as the maximally entangled state. Further, the entanglement structure is not uniquely determined in general probabilistic theories even if we impose that the local subsystems are fully equal to quantum systems. Therefore, the existence of the maximally entangled state depends on whether the standard entanglement structure (SES) is valid. To examine this issue, we introduce pseudo SES as a structure of quantum composite system under natural assumptions based on the existence of projective measurements and the existence of approximations of all maximally entangled standard states. Surprisingly, there exist infinitely many pseudo SESs different from the SES. In our setting, any maximally entangled state can be arbitrarily approximated by an entangled state that belongs to our obtained pseudo standard entanglement structure. That is, experimental verification does not exclude the possibility of our obtained pseudo standard entanglement structure that is different from the standard entanglement structure. On the other hand, such pseudo structures never possess global unitary symmetry, i.e. global unitary symmetry is essential condition for the SES.

general probabilistic theories entanglement structure projective measurement verification perfect discrimination global unitary symmetry

SCI

English

Corresponding

JSPS["62171212","2019B121203002"] ; null[JP22J14947] ; null[JP20H04139] ; null[JPMJSP2125]

Physics

Physics, Multidisciplinary

WOS:000930632100001

IOP Publishing Ltd

PHYSICS

Web of Science

1.Nagoya Univ, Grad Sch Math, Furo Cho,Chikusa ku, Nagoya 4648602, Japan
2.Southern Univ Sci & Technol, Shenzhen Inst Quantum Sci & Engn, Shenzhen 518055, Peoples R China
3.Int Quantum Acad SIQA, Shenzhen 518048, Peoples R China
4.Southern Univ Sci & Technol, Guangdong Prov Key Lab Quantum Sci & Engn, Shenzhen 518055, Peoples R China

Arai, Hayato,Hayashi, Masahito. Pseudo standard entanglement structure cannot be distinguished from standard entanglement structure[J]. NEW JOURNAL OF PHYSICS,2023,25(2).

Arai, Hayato,&Hayashi, Masahito.(2023).Pseudo standard entanglement structure cannot be distinguished from standard entanglement structure.NEW JOURNAL OF PHYSICS,25(2).

Arai, Hayato,et al."Pseudo standard entanglement structure cannot be distinguished from standard entanglement structure".NEW JOURNAL OF PHYSICS 25.2(2023).