Double-well atom trap for fluorescence detection at the Heisenberg limit

Stroescu, Ion; Hume, David; Oberthaler, Markus K.

doi:10.1103/physreva.91.013412

Cited by 18 publications

(24 citation statements)

References 32 publications

(38 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Finally, we demonstrate that states generated using random circuits with gates from a universal gate-set on the symmetric subspace consisting only of beam-splitters and a single non-linear Kerr-like transformation also typically achieve Heisenberg scaling-again even for a fixed measurement. As all our findings also equally apply to standard atomic interferometry [40][41][42][43]. Our work shows that metrological usefulness is a more generic feature than previously thought and opens up new possibilities for quantum-enhanced metrology based on random states.…”

Section: Introductionsupporting

confidence: 73%

“…The above result is most relevant for atomic interferometry experiments [40][41][42][43], in which unit detection efficiencies can be achieved and it is hence reasonably possible to limit the loss of particles to a small number. In contrast, current optical implementations are limited by inefficiencies of photon detectors that are adequately modeled with a fictions beamsplitter model [3].…”

Section: B Finite Loss Of Particlesmentioning

confidence: 92%

See 1 more Smart Citation

Random Bosonic States for Robust Quantum Metrology

Oszmaniec

Augusiak

Gogolin

et al. 2017

Quantum Information and Measurement (QIM) 2017

View full text Add to dashboard Cite

We study how useful random states are for quantum metrology, i.e., whether they surpass the classical limits imposed on precision in the canonical phase sensing scenario. First, we prove that random pure states drawn from the Hilbert space of distinguishable particles typically do not lead to super-classical scaling of precision even when allowing for local unitary optimization. Conversely, we show that random pure states from the symmetric subspace typically achieve the optimal Heisenberg scaling without the need for local unitary optimization. Surprisingly, the Heisenberg scaling is observed for random isospectral states of arbitrarily low purity and preserved under loss of a fixed number of particles. Moreover, we prove that for pure states a standard photon-counting interferometric measurement suffices to typically achieve resolutions following the Heisenberg scaling for all values of the phase at the same time. Finally, we demonstrate that metrologically useful states can be prepared with short random optical circuits generated from three types of beam-splitters and a single non-linear (Kerr-like) transformation. arXiv:1602.05407v4 [quant-ph]

show abstract

Section: Introductionsupporting

confidence: 73%

Section: B Finite Loss Of Particlesmentioning

confidence: 92%

Random Bosonic States for Robust Quantum Metrology

Oszmaniec

Augusiak

Gogolin

et al. 2017

Quantum Information and Measurement (QIM) 2017

View full text Add to dashboard Cite

show abstract

“…Recently, Fe(II) complexes of some synthetic molecular knots and links were found to strongly and selectively bind halide anions (X -) within their central cavities (19). This binding activity resembles a key feature of dehalogenase enzymes, which contain halide binding sites that facilitate the cleavage of carbon-halogen bonds (20,21). Here, we show that as little as 1 mole % (mol %) of a synthetic molecular pentafoil knot can induce Lewis acid-catalyzed reactions by the in situ generation of a carbocation by carbonhalogen bond scission promoted by CH···Xhydrogen bonding and long range metal-cation···Xelectrostatic interactions.…”

Section: Acknowledgmentsmentioning

confidence: 65%

Quantum phase magnification

Hosten

Krishnakumar

Engelsen

et al. 2016

Science

193

179

View full text Add to dashboard Cite

Quantum metrology exploits entangled states of particles to improve sensing precision beyond the limit achievable with uncorrelated particles. All previous methods required detection noise levels below this standard quantum limit to realize the benefits of the intrinsic sensitivity provided by these states. We experimentally demonstrate a widely applicable method for entanglement-enhanced measurements without low-noise detection. The method involves an intermediate quantum phase magnification step that eases implementation complexity. We used it to perform squeezed-state metrology 8 decibels below the standard quantum limit with a detection system that has a noise floor 10 decibels above the standard quantum limit.

show abstract

“…Physically, this model is suitable for cases where number of lost particles can be effectively controlled and accounted for, e.g. in atomic interferometry [51][52][53][54]. It is also more convenient for defining lossy boson sampling as a computational The fixed-loss model.…”

Section: Losses In Linear Opticsmentioning

confidence: 99%

Classical simulation of photonic linear optics with lost particles

2018

View full text Add to dashboard Cite

We explore the possibility of efficient classical simulation of linear optics experiments under the effect of particle losses. Specifically, we investigate the canonical boson sampling scenario in which an nparticle Fock input state propagates through a linear-optical network and is subsequently measured by particle-number detectors in the m output modes. We examine two models of losses. In the first model a fixed number of particles is lost. We prove that in this scenario the output statistics can be well approximated by an efficient classical simulation, provided that the number of photons that is left grows slower than n . In the second loss model, every time a photon passes through a beamsplitter in the network, it has some probability of being lost. For this model the relevant parameter is s, the smallest number of beamsplitters that any photon traverses as it propagates through the network. We prove that it is possible to approximately simulate the output statistics already if s grows logarithmically with m, regardless of the geometry of the network. The latter result is obtained by proving that it is always possible to commute s layers of uniform losses to the input of the network regardless of its geometry, which could be a result of independent interest. We believe that our findings put strong limitations on future experimental realizations of quantum computational supremacy proposals based on boson sampling.

show abstract

Double-well atom trap for fluorescence detection at the Heisenberg limit

Cited by 18 publications

References 32 publications

Random Bosonic States for Robust Quantum Metrology

Random Bosonic States for Robust Quantum Metrology

Quantum phase magnification

Classical simulation of photonic linear optics with lost particles

Contact Info

Product

Resources

About