Non-adaptive Heisenberg-limited metrology with multi-channel homodyne measurements.

Published on Oct 7, 2021in arXiv: Quantum Physics
Danilo Triggiani2
Estimated H-index: 2
,
Paolo Facchi35
Estimated H-index: 35
,
Vincenzo Tamma3
Estimated H-index: 3
Sources
Abstract
We show a protocol achieving the ultimate Heisenberg-scaling sensitivity in the estimation of a parameter encoded in a generic linear network, without employing any auxiliary networks, and without the need of any prior information on the parameter nor on the network structure. As a result, this protocol does not require a prior coarse estimation of the parameter, nor an adaptation of the network. The scheme we analyse consists of a single-mode squeezed state and homodyne detectors in each of the Moutput channels of the network encoding the parameter, making it feasible for experimental applications.
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References29
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#1Giovanni Gramegna (University of Bari)H-Index: 3
#2Danilo Triggiani (University of Portsmouth)H-Index: 2
Last. Vincenzo Tamma (University of Portsmouth)H-Index: 14
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This work proposes a Gaussian metrological setup for Heisenberg-scaling precision in the estimation of a parameter embedded in an arbitrary linear passive network. The authors show that the sensitivity becomes typical for large interferometers.
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#4Zhen-Qiang Yin (USTC: University of Science and Technology of China)H-Index: 30
Quantum metrology aims to enhance the precision of various measurement tasks by taking advantages of quantum properties. In many scenarios, precision is not the sole target; the acquired information must be protected once it is generated in the sensing process. Considering a remote sensing scenario where a local site performs cooperative sensing with a remote site to collect sensitive information at the remote site, the loss of sensing data inevitably causes sensitive information to be revealed....
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#1Lorenzo Maccone (UNIPV: University of Pavia)H-Index: 38
#2Alberto Riccardi (UNIPV: University of Pavia)H-Index: 26
Quantum metrology theory has up to now focused on the resolution gains obtainable thanks to the entanglement among N probes. Typically, a quadratic gain in resolution is achievable, going from the 1/sqrt(N) of the central limit theorem to the 1/N of the Heisenberg bound. Here we focus instead on quantum squeezing and provide a unified framework for metrology with squeezing, showing that, similarly, one can generally attain a quadratic gain when comparing the resolution achievable by a squeezed p...
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#1Yi Xia (UA: University of Arizona)H-Index: 22
#2Wei Li (UA: University of Arizona)H-Index: 3
Last. Zheshen Zhang (UA: University of Arizona)H-Index: 25
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Quantum metrology takes advantage of nonclassical resources such as entanglement to achieve a sensitivity level below the standard quantum limit. To date, almost all quantum-metrology demonstrations are restricted to improving the measurement performance at a single sensor, but a plethora of applications require multiple sensors that work jointly to tackle distributed sensing problems. Here, we propose and experimentally demonstrate a reconfigurable sensor network empowered by continuous-variabl...
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#1Giovanni GramegnaH-Index: 3
#2Danilo TriggianiH-Index: 2
Last. Vincenzo TammaH-Index: 14
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We propose an Nphoton Gaussian measurement scheme which allows the estimation of a parameter \varphiencoded into a multi-port interferometer with a Heisenberg scaling precision (i.e. of order 1/N. In this protocol, no restrictions on the structure of the interferometer are imposed other than linearity and passivity, allowing the parameter \varphito be distributed over several components. In all previous proposals Heisenberg scaling has been obtained provided that both the input state...
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#1Xueshi Guo (DTU: Technical University of Denmark)H-Index: 13
#2Casper R. Breum (DTU: Technical University of Denmark)H-Index: 4
Last. Ulrik L. Andersen (DTU: Technical University of Denmark)H-Index: 56
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Networking is integral to quantum communications1 and has significant potential for upscaling quantum computer technologies2. Recently, it was realized that the sensing performances of multiple spatially distributed parameters may also be enhanced through the use of an entangled quantum network3–10. Here, we experimentally demonstrate how sensing of an averaged phase shift among four distributed nodes benefits from an entangled quantum network. Using a four-mode entangled continuous-variable sta...
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#1Dario Gatto (University of Portsmouth)H-Index: 2
#2Paolo Facchi (University of Bari)H-Index: 35
Last. Vincenzo Tamma (University of Portsmouth)H-Index: 14
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We address the problem of distributed quantum metrology with a single squeezed-vacuum source by using the formalism of quantum mechanics in phase space. In particular, we demonstrate Heisenberg-lim...
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#1Dario Gatto (University of Portsmouth)H-Index: 2
#2Paolo Facchi (University of Bari)H-Index: 35
Last. Vincenzo Tamma (University of Portsmouth)H-Index: 14
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The authors present a technique to overcome the technological limitations of interferometry in quantum metrology by using squeezed light as the quantum resource, on-off detectors, and thus avoiding the need of any auxiliary interferometric channels. Their set-up achieves Heisenberg-limited sensitivity in the estimation of a linear combination of multiple phases
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#1Teruo Matsubara (Waseda University)H-Index: 1
#2Paolo Facchi (University of Bari)H-Index: 35
Last. Kazuya Yuasa (Waseda University)H-Index: 18
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Bounds on the ultimate precision attainable in the estimation of a parameter in Gaussian quantum metrology are obtained when the average number of bosonic probes is fixed. We identify the optimal input probe state among generic (mixed in general) Gaussian states with a fixed average number of probe photons for the estimation of a parameter contained in a generic multimode interferometric optical circuit, namely, a passive linear circuit preserving the total number of photons. The optimal Gaussia...
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#1Zixin HuangH-Index: 9
#2Chiara MacchiavelloH-Index: 47
Last. Lorenzo MacconeH-Index: 38
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We develop a general framework for parameter estimation that allows only trusted parties to access the result and achieves optimal precision. The protocols are designed such that adversaries can access some information indeterministically, but only at the risk of getting caught (cheat-sensitivity); under the assumption that the adversary can access the channel only once, then the protocol is unconditionally secure. By combining techniques from quantum cryptography and quantum metrology, we devis...
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