Majorana Representation for a Composite System

Yang, Jing; Zhang, Yong

doi:10.1007/s10773-021-04951-5

Cited by 2 publications

(1 citation statement)

References 31 publications

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“…The geometric clarity of the Majorana sphere facilitates a straightforward understanding of how rotation operation affects spin states. Therefore, this representation has been widely used to deal with various spin states problems [24][25][26][27][28][29]. Olivier et al provide a compact and elegant representation of spin density matrices.…”

Section: Majorana Representation Of Spin Statesmentioning

confidence: 99%

Generalized GHZ entanglement states for optimal rotation detection of quantum spin systems using majorana representation

Mafi,

Kazemikhah,

Kookani

et al. 2024

Phys. Scr.

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A multitude of engineering and scientific applications require the estimation of an unknown axis' rotation, known as the reference frame alignment problem. These problems can be categorized using the quantum Cramer-Rao bound. Detecting rotations is typically focused on smaller angles, as errors are more significant in this range. Therefore, selecting the optimal combination of measurement techniques based on a quantum entangled state for a particular setup is a critical step. This paper proposes a linear combination of anticoherence and coherence measures based on the generalized GHZ entanglement states. The anticoherence measures, optimizes the spin system's average fidelity in detecting rotated states, while the overlap between states in any spin number is minimal. The optimal quantum rotosensors are characterized by the minimal average fidelity given by the overlap before and after averaging over all directions. The individual subsystems' states have substantial overlap with GHZ states, making the generalized GHZ state the entanglement quantum spin-j state with coherence decay rate ϵ beneficial in finding the optimal rotation detection on noncoherent entanglement state.

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