Page 62 - Kaleidoscope Academic Conference Proceedings 2024
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2024 ITU Kaleidoscope Academic Conference




              2.  THE HONG-OU-MANDEL EXPERIMENT               channels coming from Alice and Bob. Further, a polarization
                                                              controller (PC) is used to control the required polarization
           Here, the aim is to perform HOM experiment between the  state. One arm of the both PBSs (Alice’s as well as Bob’s)
           photons generated from two parties named as Alice and Bob.  is connected to a single photon avalanche diode (SPAD3 and
           Alice and Bob use attenuated independent laser sources for  SPAD4). The minimum clicks on both the SPADs indicate
           this purpose. This is done using an intensity modulator  that the photons on the other arm of PBS are nearly identical in
           (IM) and variable optical attenuator (VOA). They send their  polarization degree of freedom. This arm is in turn connected
           photons to a third party, Charlie for Bell state measurement,  to a 2 x 2 polarization maintaining beam splitter (PMBS)
           as shown in Fig. 2. To obtain indistinguishability, we have  which is then connected to two SPADs (SPAD1 and SPAD2)
           maintained three feedback mechanisms between Alice, Bob  of which one is free running SPAD and the other is a gated
           and Charlie namely frequency overlap, polarization overlap  SPAD as shown in Fig. 4.
           and temporal overlap which is explained in detail.
                                                              2.3  Temporal overlap
           2.1  Frequency overlap
                                                              The next challenge to make photons indistinguishable is their
           In our experimental setup, Alice and Bob use 10% of their  temporal overlap. The photons from both the sources must
           laser light to achieve frequency overlap, the rest 90% they  meet at the same time at Charlie’s node. Charlie measures
           use for the HOM experiment implementation. The incoming  the time of arrival of photons from Alice and Bob at a fixed
           unmodulated continuous laser light (10%) from Alice and  point. It is done in two steps:
           Bob is fed to 2 x 1 optical coupler at Charlie node. The
                                                                • Delay calculation of photon from Alice and Bob to
           output of the coupler is then fed to optical to electrical
                                                                  PMBS.
           (O2E) converter which is processed by the Charlie’s field
           programmable gate array (FPGA). Whenever the frequency  • Offset in SPADs after PMBS.
           difference f is greater than the threshold frequency of 10 MHz,
                                                              The delay in the arrival of the photon is calculated by
           it is communicated to Alice via the feedback channel and its
                                                              Charlie’s FPGA, and the corresponding shift is communicated
           laser wavelength is tuned as shown in Fig. 3. In this way,
                                                              to any one of the two parties. In our work, the delay is
           frequency overlap is achieved which is a very important step
                                                              adjusted at Bob node. The time shift is provided through
           to make photons indistinguishable.
                                                              FPGA in the resolution of 125 ps. The concept of photon
              Table 1 – Various parameters used in the experiment  indistinguishability is quantified in terms of visibility. The
                                                              visibility measures the probability that both photons will
            S. No.      Parameter   Alice Value  Bob Value    emerge together through a single output port of the BS.
                        Transmitted                           Mathematically, the visibility is defined as
            1           Power       -78.8dBm    -78.3dBm
                        Central                                                              −          
            2           Wavelength  1550.12 nm  1550.12 nm                        =                         (2)
                        Pulse                                                                  
                        Repitition
                                                              where Cmax and Cmin are the maximum and minimum
            3           Rate        32 ns       32 ns
                        Fibre                                 coincidence counts at the output of the BS respectively.
            4           Length      20 km       20 km
                        Fibre                                          3.  RESULTS AND DISCUSSION
            5           Loss        5 dB        5 dB
                        PC                                    When the temporal, spectral and polarization overlap of the
                        Insertion
            6           Loss        0.8 dB      0.8 dB        photons on the Charlie’s BS is perfect, the two photons will
                        PBS                                   exit the BS together in the same output port. There is zero
                        Insertion                             probability that both of the photons will exit separately. In
            7           Loss        0.8 dB      0.8 dB        our experiment, we have used two lasers of 1550.12 nm
                        Power at
                        the input of                          wavelength, having a pulse width of 880 ps with a repetition
            8           2 x 2 PMBS  -85.4 dBm   -84.9 dBm     rate of 32 ns (shown in Fig. 5 and Fig. 6 respectively).
                        Mean Photon                           The power of the pulse generated by laser sources present
                        number at the                         in Alice and Bob is 78.8 dBm and 78.3 dBm respectively,
                        input of
                                                              the other parameters are given in the Table I. Fig. 7 shows
            9           2 x 2 PMBS  0.72        0.8
                                                              the clicks on the two SPADs (SPAD1 and SPAD2) out of
                                                              which one (SPAD1, blue colored line) is in the free running
           2.2  Polarization overlap                          configuration which has high click count and the other one
                                                              (SPAD2, red colored line) is in gated mode which has low
           To make both photons indistinguishable at Charlie’s node, one  click count. Free running detector triggers (gates) the second
           of the conditions is that their polarization should be same. In  detector. Fig. 8 shows the coincidence counts with respect
           order to achieve the same, we make use of two polarizing  to time difference between two pulses, as the time between
           beam splitters (PBSs) which are inserted on the quantum  the two pulses reduces, coincidence count reduces. The




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