Quantum-Limited Loss Sensing: Multiparameter Estimation and Bures Distance between Loss Channels

Nair, Ranjith

doi:10.1103/physrevlett.121.230801

Cited by 59 publications

(70 citation statements)

References 51 publications

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“…The attention has been triggered because the key mechanism leading to quantum enhancement can often be understood as the non-classicality of the probe state [1,5,6]. For example, in single-mode loss parameter estimation, the photon number state having no uncertainty in the intensity is known to be the optimal state, providing the maximal quantum enhancement [7,8]. In phase parameter estimation, it is known that the squeezed vacuum state reaches the QFI scaled with N 2 [9], leading to a Heisenberg scaling of -N 1 in precision, where N is the average photon number of the probe state.…”

Section: Introductionmentioning

confidence: 99%

Using states with a large photon number variance to increase quantum Fisher information in single-mode phase estimation

Lee

Jeong

et al. 2019

J. Phys. Commun.

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When estimating the phase of a single mode, the quantum Fisher information for a pure probe state is proportional to the photon number variance of the probe state. In this work, we point out particular states that offer photon number distributions exhibiting a large variance, which would help to improve the local estimation precision. These theoretical examples are expected to stimulate the community to put more attention to those states that we found, and to work towards their experimental realization and usage in quantum metrology.

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Section: Introductionmentioning

confidence: 99%

Using states with a large photon number variance to increase quantum Fisher information in single-mode phase estimation

Lee

Jeong

et al. 2019

J. Phys. Commun.

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“…The last assertion of Theorem 1 implies the following 12 Since the operator V satisfies condition (18), the r.h.s. of (30) tends to zero as n → +∞.…”

Section: The Main Resultsmentioning

confidence: 68%

“…emphasise that this operator is defined by formula (21) not assuming existence of densely defined adjoint operator V * Φ . 14 Estimations of this distance for real quantum channels can be found in [12]. Lemma 5.…”

Section: The Main Resultsmentioning

confidence: 99%

On Completion of the Cone of Completely Positive Linear Maps with Respect to the Energy-Constrained Diamond Norm

Shirokov

2019

Lobachevskii J Math

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For a given positive operator G we consider the cones of linear maps between Banach spaces of trace class operators characterized by the Stinespring-like representation with √ G-bounded and √ G-infinitesimal operators correspondingly. We prove the completeness of both cones w.r.t. the energy-constrained diamond norm induced by G (as an energy observable) and the coincidence of the second cone with the completion of the cone of CP linear maps w.r.t. this norm.We show that the sets of quantum channels and quantum operations are complete w.r.t. the energy-constrained diamond norm for any energy observable.Some properties of the maps belonging to the introduced cones are described. In particular, the corresponding generalization of the Kretschmann-Schlingemann-Werner theorem is obtained.We also give a nonconstructive description of the completion of the set of all Hermitian-preserving completely bounded linear maps w.r.t. the ECD norm.

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“…We first show that the fidelity between the ideal displacement and its experimental approximation when acting on a fixed input state is equal to the fidelity between a pure-loss channel and an ideal channel when acting on the same input state. We then provide an analytical expression to upper bound the Shirokov-Winter energy-constrained diamond distance between an ideal displacement and its experimental approximations, by using the recent result of [Nai18]. Furthermore, we study different performance metrics to analyze how well an experimental approximation simulates a tensor product of different displacement operators.…”

Section: Introductionmentioning

confidence: 99%

Characterizing the performance of continuous-variable Gaussian quantum gates

Sharma

Wilde

2020

Phys. Rev. Research

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The required set of operations for universal continuous-variable quantum computation can be divided into two primary categories: Gaussian and non-Gaussian operations. Furthermore, any Gaussian operation can be decomposed as a sequence of phase-space displacements and symplectic transformations. Although Gaussian operations are ubiquitous in quantum optics, their experimental realizations are generally approximations of the ideal Gaussian unitaries. In this work, we study different performance criteria to analyze how well these experimental approximations simulate the ideal Gaussian operations. In particular, we find that none of these experimental approximations converge uniformly to the ideal Gaussian processes. However, convergence occurs in the strong sense, or if the discrimination strategy is energy bounded, then the convergence is uniform in the Shirokov-Winter energy-constrained diamond norm. We indicate how these energy-constrained bounds could be used for experimental implementations of these Gaussian operations in order to achieve any desired accuracy.

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Quantum-Limited Loss Sensing: Multiparameter Estimation and Bures Distance between Loss Channels

Cited by 59 publications

References 51 publications

Using states with a large photon number variance to increase quantum Fisher information in single-mode phase estimation

Using states with a large photon number variance to increase quantum Fisher information in single-mode phase estimation

On Completion of the Cone of Completely Positive Linear Maps with Respect to the Energy-Constrained Diamond Norm

Characterizing the performance of continuous-variable Gaussian quantum gates

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