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Trapped Ion Quantum Computing
Improving sum uncertainty relations with the quantum Fisher information
arXiv
Authors: Shao-Hen Chiew, Manuel Gessner
Year
2021
Paper ID
61549
Status
Preprint
Abstract Read
~2 min
Abstract Words
105
Citations
N/A
Abstract
We show how preparation uncertainty relations that are formulated as sums of variances may be tightened by using the quantum Fisher information to quantify quantum fluctuations. We apply this to derive stronger angular momentum uncertainty relations, which in the case of spin-1/2 turn into equalities involving the purity. Using an analogy between pure-state decompositions in the Bloch sphere and the moment of inertia of rigid bodies, we identify optimal decompositions that achieve the convex- and concave-roof decomposition of the variance. Finally, we illustrate how these results may be used to identify the classical and quantum limits on phase estimation precision with an unknown rotation axis.
Why This Paper Matters
- This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
- It adds a 2021 reference point for readers tracking recent quantum research.
- We show how preparation uncertainty relations that are formulated as sums of variances may be tightened by using the quantum Fisher information to quantify quantum fluctuations.
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