Multiparameter estimation with single photons—linearly-optically generated quantum entanglement beats the shotnoise limit

You, Chenglong; Adhikari, Sushovit; Chi, Yuxi; LaBorde, Margarite L.; Matyas, Corey T.; Zhang, Chenyu; Su, Zu-En; Byrnes, Tim; Lu, Chao‐Yang; Dowling, Jonathan P.; Olson, Jonathan P.

doi:10.1088/2040-8986/aa9133

Cited by 39 publications

(34 citation statements)

References 60 publications

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“…as a function of L. We see that the fidelity approaches 1 rapidly. The probability of obtaining the outcome (40) approaches a value of ≈ 0.22 that is for a single projection outcome. We note that for the outcome (43), the state converges to the state (46) regardless of the initial state.…”

Section: B Example: Convergence To Maximally Entangled Statementioning

confidence: 93%

“…Each branch of the tree corresponds to different projection outcomes labelled by (38). The probability of a particular outcome is given by (40).…”

Section: A Multiple Qnd Measurementsmentioning

confidence: 99%

“…It has also been observed that Bell violations [30][31][32], which are a stronger form of quantum correlations in the quantum quantifier hierarchy [33,34], can be generated in Bose-Einstein condensates [35]. More exotic types of quantum many-body state can be generated through techniques to perform quantum simulation with a variety of applications [36][37][38][39][40][41][42][43].…”

Section: Introductionmentioning

confidence: 99%

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Stroboscopic quantum nondemolition measurements for enhanced entanglement generation between atomic ensembles

Chaudhary,

Mao,

Kondappan

et al. 2021

Preprint

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We develop a measurement operator formalism to handle quantum nondemolition (QND) measurement induced entanglement generation between two atomic gases. We first derive how the QND entangling scheme reduces to a positive operator valued measure (POVM), and consider its limiting case when it is a projection operator that collapses the state to a total spin projection state. We then analyze how a stroboscopic sequence of such projections made in the x and z basis evolves the initial wavefunction. We show that for this projection sequence there exists a unique basis where the state evolution can be simplified. This allows one to derive the exact state evolution in a highly efficient manner. Our formalism does not use the Holstein-Primakoff approximation as is conventionally done, and treats the spins of the atomic gases in an exact way.

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Section: B Example: Convergence To Maximally Entangled Statementioning

confidence: 93%

“…Each branch of the tree corresponds to different projection outcomes labelled by (38). The probability of a particular outcome is given by (40).…”

Section: A Multiple Qnd Measurementsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Stroboscopic quantum nondemolition measurements for enhanced entanglement generation between atomic ensembles

Chaudhary,

Mao,

Kondappan

et al. 2021

Preprint

Self Cite

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show abstract

“…We note that there has been some numerical analysis of scattershot sources for metrology in one section of Ref. [17], in the context of multi-parameter estimation with QFT interferometers. In contrast, our paper has scattershot sources as the main stage of our single-parameter estimation scheme, with different phase shift scaling considerations, and analysis of different multimode interferometers beyond that of QFTs.…”

Section: Introductionmentioning

confidence: 99%

Multimode Metrology via Scattershot Sampling

Guanzon,

Lund,

Ralph

2021

Preprint

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Scattershot photon sources are known to have useful properties for optical quantum computing purposes, in particular for scaling to large numbers of photons. This paper investigates the application of these scattershot sources towards the metrological task of estimating an unknown phase shift. In this regard, we introduce three different scalable multimode interferometers, and quantify their quantum Fisher information performance using scattershot sources with arbitrary system sizes. We show that two of the interferometers need the probing photons to be in certain input configurations to beat the classical shot-noise precision limit, while the remaining interferometer has the necessary symmetry which allows it to always beat the classical limit no matter the input configuration. However, we can prove all three interferometers gives the same amount of information on average, which can be shown to beat the classical precision limit. We also perform Monte Carlo simulations to compare the interferometers in different experimentally relevant regimes, as a function of the number of samples.

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“…Recently, there is growing interest in the simultaneous estimation of multiple parameters using multi-mode quantum probing states [19][20][21][22][23][24][25][26][27] . The motivations can be summed up in two aspects: On one hand, multi-parameter estimation is not a trivial generalization of single-parameter estimation, in which the enhanced quantum limit is always attainable.…”

mentioning

confidence: 99%

Scalable Generation of Multi-mode NOON States for Quantum Multiple-phase Estimation

Zhang

Chan

2018

Sci Rep

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Multi-mode NOON states have been attracting increasing attentions recently for their abilities of obtaining supersensitive and superresolved measurements for simultaneous multiple-phase estimation. In this paper, four different methods of generating multi-mode NOON states with a high photon number were proposed. The first method is a linear optical approach that makes use of the Fock state filtration to reduce lower-order Fock state terms from the coherent state inputs, which are jointly combined to produce a multi-mode NOON state with the triggering of multi-fold single-photon coincidence detections (SPCD) and appropriate postselection. The other three methods (two linear and one nonlinear) use N-photon Fock states as the inputs and require SPCD triggering only. All of the four methods can theoretically create a multi-mode NOON state with an arbitrary photon number. Comparisons among these four methods were made with respect to their feasibility and efficiency. The first method is experimentally most feasible since it takes considerably fewer photonic operations and, more importantly, requires neither the use of high-N Fock states nor high-degree of nonlinearity.

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Multiparameter estimation with single photons—linearly-optically generated quantum entanglement beats the shotnoise limit

Cited by 39 publications

References 60 publications

Stroboscopic quantum nondemolition measurements for enhanced entanglement generation between atomic ensembles

Stroboscopic quantum nondemolition measurements for enhanced entanglement generation between atomic ensembles

Multimode Metrology via Scattershot Sampling

Scalable Generation of Multi-mode NOON States for Quantum Multiple-phase Estimation

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