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HONG-OU-MANDEL DIP MEASUREMENT OF TWO INDEPENDENT WEAK COHERENT
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               Vivek, Kumar ; Prasanta, Halder ; Arka, Mukherjee ; Luv, Goyal ; V S Vaishnavi, Adurti ; Roshan Lal, Sharma ;
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               Prashant Kumar, Rathore ; Atul Kumar, Gupta ; Priya, Malpani ; Pankaj Kumar, Dalela ; Rajkumar, Upadhyay 1
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                                              Centre for Development of Telematics
                              ABSTRACT                        probability of coming the photons from different ports is zero.
                                                              As depicted in Fig. 1, if the input (output) ports of BS are a, b
           Due to the simplicity of Hong-Ou-Mandel (HOM)      (c, d) then the arrival of two indistinguishable photons at the
           interferometer setup, it becomes very important in various  BS leads to four different possibilities such as (i) both photons
           quantum-based applications, especially when the photon  exit from port c (ii) both photons exit from port d (iii) one
           indistinguishability is required such as measurement device  (other) photon exit from port c (d) and (iv) one (other) photon
           independent quantum key distribution (MDI-QKD). In the  exit from port d (c). In case of indistinguishable photons, only
           present work, the HOM experiment setup is designed to  (i) and (ii) happens. Mathematically, it can be described as
           study the quantum interference between two indistinguishable
           photons (frequency, time of arrival and polarization should             1
                                                                       |1, 1⟩  → √   |2, 0⟩  − |0, 2⟩       (1)
           be same for both photons) coming from two independent             ,             ,        ,  
                                                                                   2
           laser sources (attenuated laser). The aim is to achieve high
           visibility as it indicates the photon indistinguishability from
           two independent sources. Theoretically, the visibility is 50%
           for indistinguishable photons from attenuated laser sources
           but in the experiment, due to various devices imperfections
           and other factors it is less than 50%. The HOM visibility
           achieved from our setup is 40% tested for a distance of 20
           km over standard single mode fiber (SMF). The main point to
           be noticed in this work is that, this experiment is performed  Figure 1 – The four possible combinations when two
           using single photon avalanche diode.               indistinguishable photons arrive at 50:50 BS.

            Keywords - Two-photon interference, indistinguishability,  In 1987, HOM effect was experimentally verified by Chung
                visibility, temporal overlap, polarization overlap,  Ki Hong, Zhe Yu Ou and Leonard Mandel [6]. HOM effect
                           coincidence counts.                finds applications in various domains of quantum technology
                                                              such as quantum teleportation [8], clock synchronization [9],
                         1. INTRODUCTION                      quantum state engineering, quantum key distribution (QKD),
                                                              etc.  As HOM can be used for Bell state measurement
           Over the last three decades, efforts are being made to  (BSM), it plays a significant role in MDI QKD [10], a
           understand the basic principles of quantum mechanics such  quantum communication protocol which removes all detector
           as superposition theoretically and experimentally, to explore  side channel attacks. So, HOM plays a vital role in BSM
           the possibility of the development of quantum technologies  related experiments. In this work, we have performed HOM
           such as quantum communication [1], quantum computing [2],  experiment of weak coherent light. In our experimental setup
           quantum metrology [3] and many more. Several experiments  we have used photons from two independent laser sources
           were performed to show the superposition principle in  (attenuated) and tried to achieve their indistinguishability
           quantum mechanics. The two-photon interference is basic  maintaining their polarization, frequency and time of arrival
           to understand the superposition [4], [5]. The two-photon  at the BS identical. Photons from attenuated laser sources
           interference (also known as Hong-Ou-Mandel (HOM) effect)  are fed to HOM setup to achieve better visibility and
           experiment [6] reveals indistinguishable photons which are a  lower coincidence events.  Literature enlightens that for
           basic building block in various quantum-based experiments.  indistinguishable weak coherent light, the HOM visibility
           Also, HOM effect is not restricted to photonic systems but  is 0.5 (or 50%) theoretically.  In the experiment, due to
           also this effect can be observed in fermionic systems, phonons  imperfection of devices and other factors, it goes below 0.5
           etc.  As HOM effect has no classical counterpart, so it  (or < 50%). The rest of the paper is organized as follows.
           outperforms classical computation [7].  The HOM effect  In Section 2, HOM experimental setup is explained in detail.
           can be explained as, when two indistinguishable photons  In Section 3, we have described our results and observations.
           arrive and interfere on a 50:50 beam splitter (BS), they will  Finally, we conclude in Section 4, including some future
           always exit the BS together in one of the output ports. The  scopes.




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