Journal
PHYSICAL REVIEW A
Volume 97, Issue 4, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.97.042337
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Funding
- ARL CDQI
- ARO MURI
- NSF QIS
- ARO
- NSF PFC at JQI
- AFOSR
- ARCS Foundation
- Office of Naval Research Grant [N00014-11-1-0082]
- National Science Foundation [PHY-1521016]
- Division Of Physics
- Direct For Mathematical & Physical Scien [1521016, 1430094] Funding Source: National Science Foundation
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Studies of quantum metrology have shown that the use of many-body entangled states can lead to an enhancement in sensitivity when compared with unentangled states. In this paper, we quantify the metrological advantage of entanglement in a setting where the measured quantity is a linear function of parameters individually coupled to each qubit. We first generalize the Heisenberg limit to the measurement of nonlocal observables in a quantum network, deriving a bound based on the multiparameter quantum Fisher information. We then propose measurement protocols that can make use of Greenberger-Horne-Zeilinger (GHZ) states or spin-squeezed states and show that in the case of GHZ states the protocol is optimal, i.e., it saturates our bound. We also identify nanoscale magnetic resonance imaging as a promising setting for this technology.
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