Strategies for choosing path-entangled number states for optimal robust quantum-optical metrology in the presence of loss

Jiang, Kebei; Brignac, Chase; Weng, Yi; Kim, Moochan B.; Lee, Hwang; Dowling, Jonathan P.

doi:10.1103/physreva.86.013826

Cited by 36 publications

(29 citation statements)

References 33 publications

(50 reference statements)

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“…This is a considerable improvement over the standard quantum limit 1/ √ N . Nevertheless, those entanglement-enhanced strategies that are optimal for the noiseless systems easily lose the quantum gain for the noisy systems [9,11,12,[14][15][16][17][18][19][20][21][22][23][24][25][26].…”

Section: Resultsmentioning

confidence: 99%

“…In quantum metrology, delicate and fragile quantum features are being used to enhance the sensitivity of experimental apparatus, e.g., non-classical probe states were used for the high sensitivity of optical interferometer and atomic spectroscopy [1][2][3][4][5][6][7][8]. However the quantum enhancement for the sensitivity may be subdued by the presence of ubiquitous and inevitable noise [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26]. Therefore it is of utmost significance to investigate the robustness of the optimal strategies for the high sensitivity against noise.…”

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confidence: 99%

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Robust quantum metrological schemes based on protection of quantum Fisher information

2015

Nat Commun

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Fragile quantum features such as entanglement are employed to improve the precision of parameter estimation and as a consequence the quantum gain becomes vulnerable to noise. As an established tool to subdue noise, quantum error correction is unfortunately overprotective because the quantum enhancement can still be achieved even if the states are irrecoverably affected, provided that the quantum Fisher information, which sets the ultimate limit to the precision of metrological schemes, is preserved and attained. Here we develop a theory of robust metrological schemes that preserve the quantum Fisher information instead of the quantum states themselves against noise. After deriving a minimal set of testable conditions on this kind of robustness, we construct a family of 2t þ 1 qubits metrological schemes being immune to t-qubit errors after the signal sensing. In comparison, at least five qubits are required for correcting arbitrary 1-qubit errors in standard quantum error correction.

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Section: Resultsmentioning

confidence: 99%

mentioning

confidence: 99%

Robust quantum metrological schemes based on protection of quantum Fisher information

2015

Nat Commun

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“…We also present an example indicating that similar enhancement occurs also at higher photon numbers. Prospectively, the results reported here may provide another class of strategies to mitigate effects of imperfections and environmental noise in quantum-enhanced metrology 23 24 25 26 27 28 29 . The theoretical analysis is complemented with an experiment investigating sensitivity of a balanced Mach–Zehnder interferometer fed with photon pairs.…”

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confidence: 83%

Mode engineering for realistic quantum-enhanced interferometry

et al. 2016

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Quantum metrology overcomes standard precision limits by exploiting collective quantum superpositions of physical systems used for sensing, with the prominent example of non-classical multiphoton states improving interferometric techniques. Practical quantum-enhanced interferometry is, however, vulnerable to imperfections such as partial distinguishability of interfering photons. Here we introduce a method where appropriate design of the modal structure of input photons can alleviate deleterious effects caused by another, experimentally inaccessible degree of freedom. This result is accompanied by a laboratory demonstration that a suitable choice of spatial modes combined with position-resolved coincidence detection restores entanglement-enhanced precision in the full operating range of a realistic two-photon Mach–Zehnder interferometer, specifically around a point which otherwise does not even attain the shot-noise limit due to the presence of residual distinguishing information in the spectral degree of freedom. Our method highlights the potential of engineering multimode physical systems in metrologic applications.

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“…More generally one could think of a combination of two different Fock states with N and M photons, and construct a state like (|N |M + |M |N )/ √ 2 [34]. Instances of such states have been shown to offer similar benefits as the N 00N state in optical interferometry, while being more robust against photon loss than the latter [35,36]. However, the production of such states remains hard.…”

Section: Introductionmentioning

confidence: 99%

Non-Gaussian entangled states and quantum teleportation of Schrödinger-cat states

Seshadreesan¹,

Dowling²,

Agarwal³

2015

Phys. Scr.

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In continuous-variable quantum information, non-Gaussian entangled states that are obtained from Gaussian entangled states via photon subtraction are known to contain more entanglement. This makes them better resources for quantum information processing protocols, such as, quantum teleportation. We discuss the teleportation of non-Gaussian, non-classical Schrödinger-cat states of light using two-mode squeezed vacuum light that is made non-Gaussian via subtraction of a photon from each of the two modes. We consider the experimentally realizable cat states produced by subtracting a photon from the single-mode squeezed vacuum state. We discuss two figures of merit for the teleportation process, a) the fidelity, and b) the maximum negativity of the Wigner function at the output. We elucidate how the non-Gaussian entangled resource lowers the requirements on the amount of squeezing necessary to achieve any given fidelity of teleportation, or to achieve negative values of the Wigner function at the output.

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Strategies for choosing path-entangled number states for optimal robust quantum-optical metrology in the presence of loss

Cited by 36 publications

References 33 publications

Robust quantum metrological schemes based on protection of quantum Fisher information

Robust quantum metrological schemes based on protection of quantum Fisher information

Mode engineering for realistic quantum-enhanced interferometry

Non-Gaussian entangled states and quantum teleportation of Schrödinger-cat states

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