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- Title
GHZ states as near-optimal states for reference frame alignment.
- Authors
Koochakie, Mear M. R.; Jannesary, Vahid; Karimipour, Vahid
- Abstract
Let two coordinate systems, in possession of Alice and Bob, be related to each other by an unknown rotation R ∈ SO (3) . Alice is to send identical states | ψ 0 ⟩ to Bob who will make measurements on the received state and will determine the rotation R. The task of Bob is to estimate these parameters of the rotation R by the best possible measurements. Based on the quantum Fisher information, we show that Greenberger–Horne–Zeilinger (GHZ) states are near optimal states for this task. We show concrete measurements which will allow Bob to determine the rotation R. This shows that GHZ states, as superposition of macroscopically distinct states, are useful in yet another context in quantum information, namely in communicating the information of a whole coordinate system between two parties where no prior information is available on the relative orientation of the two frames.
- Subjects
FISHER information; ROTATIONAL motion; QUANTUM information theory; QUANTUM cryptography
- Publication
Quantum Information Processing, 2021, Vol 20, Issue 10, p1
- ISSN
1570-0755
- Publication type
Article
- DOI
10.1007/s11128-021-03243-5