Complete temporal mode characterization of non-Gaussian states by a dual homodyne measurement

Takase, Kan; Okada, Masanori; Serikawa, Tadashi; Takeda, Shuntaro; Yoshikawa, Jun–ichi; Furusawa, Akira

doi:10.1103/physreva.99.033832

Cited by 16 publications

(14 citation statements)

References 39 publications

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“…In the (S, L, H) formalism, we have S = I , L = √ a , and H = d a * a . Then, the dynamics of this linear system can be described in the input-output form Applying the Laplace transform to (19) and omitting the influence of the initial state a(t 0 ) yield (18)…”

Section: Systemmentioning

confidence: 99%

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Control engineering of continuous-mode single-photon states: a review

Zhang

2021

Control Theory Technol.

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In this survey, we present single-photon states of electromagnetic fields, discuss discrete measurements of a single-photon field, show how a linear quantum system responds to a single-photon input, investigate how a coherent feedback network can be used to manipulate the temporal pulse shape of a single-photon state, present single-photon filter and master equations, and finally discuss the generation of Schrödinger cat states by means of photon addition and subtraction.

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Section: Systemmentioning

confidence: 99%

“…In this review, we investigate single-photon states from a control-theoretic perspective. For physical implementation of single photon generation, detection and storing, please refer to the physics literature [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19] and references therein.…”

Section: Introductionmentioning

confidence: 99%

Control engineering of continuous-mode single-photon states: a review

Zhang

2021

Control Theory Technol.

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Section: Data Processing Reconstructionmentioning

confidence: 99%

“…Although it gives information about the coherence of the temporal shape, this technique evaluates the degree of indistinguishability and does not provide any information about the details of a possible mismatch. In addition, it remains restricted to single-photon states.Recently new methods have been developed to tackle the challenge in practical cases [12][13][14][15][16][17][18]. Those techniques = ?…”

mentioning

confidence: 99%

“…Those additional measurements require a sophisticated algorithm in order to extract the temporal density matrix. Another procedure has been proposed in [15]. There, one frequency is sufficient but then the use of a double homodyne detection is required.Following those works, here we provide new insights regarding the problem of experimental costs we just under-arXiv:1909.00859v1 [quant-ph] 2 Sep 2019 2 lined.…”

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confidence: 99%

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Accurate photonic temporal mode analysis with reduced resources

et al. 2020

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The knowledge and thus characterization of the temporal modes of quantum light fields is important in many areas of quantum physics ranging from experimental setup diagnosis to fundamentalphysics investigations. Recent results showed how the auto-correlation function computed from continuous-wave homodyne measurements can be a powerful way to access the temporal mode structure. Here, we push forward this method by providing a deeper understanding and by showing how to extract the amplitude and phase of the temporal mode function with reduced experimental resources. Moreover, a quantitative analysis allows us to identify a regime of parameters where the method provides a trustworthy reconstruction, which we illustrate experimentally.PACS numbers: 42.50.Dv, Techniques to characterize quantum states have become more and more valuable with the development of quantum information science. In order to establish standards and check the compliance of the different building blocks, it is necessary to have efficient and reliable measurement methods. However, characterizing quantum states is challenging by nature [1]. One quantum measurement only provides a limited amount of information and therefore it is always necessary to perform multiple measurements to obtain a full quantum state characterization. All the art lies in the way of assembling those pieces of information [2,3].Beyond the conceptual interest, it is also important to pay attention to the practical aspects: Each measurement demands experimental resources, e.g., time, energy, money and processing power. Regarding the valuable character of the measurements, it is thus essential to know how the choice of the experimental parameters, on one hand, and the evaluation technique, on the other hand, can maximize the amount of extracted information. In other words, the question is how to obtain the desired characterization at reduced costs.Optical states constitute the essential ingredient of many quantum information protocols, for quantumnetwork applications [4,5] as well as all-optical processing [6]. Among the different degrees of freedom that define an optical mode, the temporal shape has lately arisen an increasing interest [7]. However, it appears to be challenging to control [8]. Although theoretical models have been developed for various systems [9, 10], they don't always accurately describe the experimental implementation. Hence, in order to verify, experimental techniques to measure the temporal mode are necessary. The Hong-Ou-Mandel experiment was probably the first technique looking closely at the characterization problem of temporal modes [11]. Although it gives information about the coherence of the temporal shape, this technique evaluates the degree of indistinguishability and does not provide any information about the details of a possible mismatch. In addition, it remains restricted to single-photon states.Recently new methods have been developed to tackle the challenge in practical cases [12][13][14][15][16][17][18]. Those techniques = ? ? + ? ? Unkno...

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Linear quantum systems: A tutorial

Dong

2022

Annual Reviews in Control

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Complete temporal mode characterization of non-Gaussian states by a dual homodyne measurement

Cited by 16 publications

References 39 publications

Control engineering of continuous-mode single-photon states: a review

Control engineering of continuous-mode single-photon states: a review

Accurate photonic temporal mode analysis with reduced resources

Linear quantum systems: A tutorial

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