A quantum Rosetta stone for interferometry

By Hwang Lee, Pieter Kok, Jonathan P. Dowling. 2002

449 citations recorded by the source corpus.

Heisenberg-limited measurement protocols can be used to gain an increase in measurement precision over classical protocols. Such measurements can be implemented using, for example, optical Mach—Zehnder interferometers and Ramsey spectroscopes. We address the formal equivalence between the Mach—Zehnder interferometer, the Ramsey spectroscope and a generic quantum logic circuit. Based on this equivalence we introduce the 'quantum Rosetta stone', and we describe a projective-measurement scheme for generating the desired correlations between the interferometric input states in order to achieve Heisenberg-limited sensitivity. The Rosetta stone then tells us that the same method should work in atom spectroscopy.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/aae68b232ac03f84d8ec67b5151b4660c0ae94f9

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In Artificial Intelligence

In Atomic and Molecular Physics, and Optics

Citations in the corpus

Quantum metrology with nonclassical states of atomic ensembles (2016, methodology): “A standard quantum limit (Bollinger et al., 1996; Lee et al., 2002).”
Quantum limits in optical interferometry (2014, background): “Due to close mathematical analogies between optical and atomic interferometry (Bollinger et al., 1996; Lee et al., 2002) similar bounds hold for the problem of atomic transition-frequency estimation and more generally for any arbitrary unitary parameter estimation problem, i.e. the one in which an…”
Spin squeezing, entanglement and quantum metrology with Bose–Einstein condensates (2012, background): “In the context of quantum metrology, the Schrödinger cat state is sometimes called a NOON state [63].”
Advances in quantum metrology (2011, background): “1, and the MachZehnder interferometer [4, 5, 40, 41], commonly used to detect an unknown phase shift (see below).”
Observation of separated dynamics of charge and spin in the Fermi-Hubbard model (2020, background): “[71] H.”
Quantum optical metrology – the lowdown on high-N00N states (2008, background): “(For a more detailed elaboration on the connection between quantum computing and quantum interferometry, see our paper on the Quantum Rosetta Stone [15].)”
Quantum metrology and its application in biology (2014, background): “It has been shown that the NOON state is optimal for states which contain exactly N photons; although in principle states with indeterminate photon number such as the squeezed vacuum have been shown to allow slightly superior performance [72, 73, 74, 75] (See Section 4.”
General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology (2011, background): “On the other hand, it has been shown that squeezed [27, 28] or entangled states [2, 3] may lead, in the absence of losses, to a scaling of this uncertainty with the inverse of the mean num ber of photons.”