Quantum interferometry via a coherent state mixed with a photon-added squeezed vacuum state

Wang, Shuai; Xu, Xue-Xiang; Xu, Ye-Jun; Zhang, Lijian

doi:10.1016/j.optcom.2019.03.068

Cited by 20 publications

(4 citation statements)

References 43 publications

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“…A plethora of quantum states have been shown to have a quantum metrological interest [1,14,[30][31][32][33][45][46][47][48][49][50][51]. The discussions however, were carried out in the balanced case only, with few exceptions [24][25][26].…”

Section: Gaussian and Non-gaussian Input State Examplesmentioning

confidence: 99%

Quantum Fisher information maximization in an unbalanced interferometer

Ataman

2022

Preprint

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In this paper we provide the answer to the following question: given an arbitrary pure input state and a general, unbalanced, Mach-Zehnder interferometer, what transmission coefficient of the first beam splitter maximizes the quantum Fisher information (QFI)? We consider this question for both single-and two-parameter QFI, or, in other words, with or without having access to an external phase reference. We give analytical results for all involved scenarios. It turns out that, for a large class of input states, the balanced (50/50) scenario yields the optimal two-parameter QFI, however this is far from being a universal truth. When it comes to the single-parameter QFI, the balanced scenario is rarely the optimal one and an unbalanced interferometer can bring a significant advantage over the balanced case. We also state the condition imposed upon the input state so that no metrological advantage can be exploited via an external phase reference. Finally, we illustrate and discuss our assertions through a number of examples, including both Gaussian and non-Gaussian input states.

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Section: Gaussian and Non-gaussian Input State Examplesmentioning

confidence: 99%

Quantum Fisher information maximization in an unbalanced interferometer

Ataman

2022

Preprint

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“…Quantum mechanical states of light have been studied extensively in the field of quantum metrology [1][2][3][4][5][6][7] , where one is interested in performing highly resolved and sensitive measurements of signals like, for example, what one would expect to detect from gravitational waves 8 (also see Barsotti et al 9 and references therein) or for the precise measurement of transition frequencies in atomic (ion) spectroscopy 10 . The advantage one gains over using classical fields is the ability to exploit inherently quantum characteristics of the state such as entanglement, squeezing or some other non-classical property 11 .…”

Section: Introductionmentioning

confidence: 99%

Engineering superpositions of N00N states using an asymmetric non-linear Mach–Zehnder interferometer

Birrittella

Alsing

Schneeloch

et al. 2023

AVS Quantum Science

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We revisit a method for mapping arbitrary single-mode pure states into superpositions of N00N states using an asymmetric non-linear Mach–Zehnder interferometer (ANLMZI). This method would allow one to tailor-make superpositions of N00N states where each axis of the two-mode joint-photon number distribution is weighted by the statistics of any single-mode pure state. The non-linearity of the ANLMZI comes in the form of a [Formula: see text] self-Kerr interaction occurring on one of the intermediary modes of the interferometer. Motivated by the non-classical interference effects that occur at a beam splitter, we introduce inverse-engineering techniques aimed toward extrapolating optimal transformations for generating N00N state superpositions. These techniques are general enough so as to be employed to probe the means of generating states of any desired quantum properties.

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“…Over the past decades, optical interferometers have been widely used to estimate very small phase shifts in both theoretical and experimental studies on quantum metrology. For a Mach-Zehnder interferometer (MZI) with nonclassical input states [1,2,3,4,5,6,7,8,9,10], the sensitivity of the phase estimation can surpass the shot-noise limit (SNL), ∆φ = 1/ √ n [1], even approach the so-called Heisenberg limit (HL) ∆φ = 1/n [11,12], where n is the mean number of photons inside the interferometer. An MZI is also called an SU(2) interferometer, as Yurke et al in 1986 showed that the group SU (2) can naturally describe an MZI [13].…”

Section: Introductionmentioning

confidence: 99%

SU(1,1) interferometry with parity measurement

Wang,

Zhang

2021

Preprint

Self Cite

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We present a new operator method in the Heisenberg representation to obtain the signal of parity measurement within a lossless SU(1,1) interferometer. Based on this method, it is convenient to derive the parity signal directly in terms of input states, including general Gaussian or non-Gaussian state. As applications, we revisit the signal of parity measurement within an SU(1,1) interferometer when a coherent or thermal state and a squeezed vacuum state are considered as input states. In addition, we also obtain the parity signal of a Fock state when it passes through an SU(1,1) interferometer, which is also a new result. Therefore, the operator method proposed in this work may bring convenience to the study of quantum metrology, particularly the phase estimation based on an SU(1,1) interferometer.

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Quantum interferometry via a coherent state mixed with a photon-added squeezed vacuum state

Cited by 20 publications

References 43 publications

Quantum Fisher information maximization in an unbalanced interferometer

Quantum Fisher information maximization in an unbalanced interferometer

Engineering superpositions of N00N states using an asymmetric non-linear Mach–Zehnder interferometer

SU(1,1) interferometry with parity measurement

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