Sub-quantum Fisher information [electronic resource]

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Bibliographic Details
Online Access: Full Text (via OSTI)
Corporate Author: Los Alamos National Laboratory (Researcher)
Format: Government Document Electronic eBook
Language:English
Published: Washington, D.C. : Oak Ridge, Tenn. : United States. National Nuclear Security Administration ; Distributed by the Office of Scientific and Technical Information, U.S. Department of Energy, 2021.
Subjects:

MARC

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245 0 0 |a Sub-quantum Fisher information  |h [electronic resource] 
260 |a Washington, D.C. :  |b United States. National Nuclear Security Administration ;  |a Oak Ridge, Tenn. :  |b Distributed by the Office of Scientific and Technical Information, U.S. Department of Energy,  |c 2021. 
300 |a Size: Article No. 035008 :  |b digital, PDF file. 
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500 |a "LA-UR-21-20536." 
500 |a "Journal ID: ISSN 2058-9565." 
500 |a Cerezo de la Roca, Marco Vinicio Sebastian ; Sone, Akira ; Beckey, Jacob L. ; Coles, Patrick Joseph ;  
500 |a Aliro Technologies, Inc. 
520 3 |a We report the quantum Fisher information (QFI) plays a crucial role in quantum information theory and in many practical applications such as quantum metrology. However, computing the QFI is generally a computationally demanding task. In this work we analyze a lower bound on the QFI which we call the sub-quantum Fisher information (sub-QFI). The bound can be efficiently estimated on a quantum computer for an n-qubit state using 2n qubits. The sub-QFI is based on the super-fidelity, an upper bound on Uhlmann's fidelity. We analyze the sub-QFI in the context of unitary families, where we derive several crucial properties including its geometrical interpretation. In particular, we prove that the QFI and the sub-QFI are maximized for the same optimal state, which implies that the sub-QFI is faithful to the QFI in the sense that both quantities share the same global extrema. Based on this faithfulness, the sub-QFI acts as an efficiently computable surrogate for the QFI for quantum sensing and quantum metrology applications. Finally, we provide additional meaning to the sub-QFI as a measure of coherence, asymmetry, and purity loss. 
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650 7 |a Sensing  |2 local. 
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650 7 |a Classical and quantum mechanics, general physics  |2 local. 
710 2 |a Los Alamos National Laboratory.  |4 res. 
710 1 |a United States.  |b National Nuclear Security Administration.  |4 spn. 
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