Entangled photon encoding using trapping of picoseconds soliton pulse

IOSR Journal of Applied Physics (IOSR-JAP)
e-ISSN: 2278-4861. Volume 3, Issue 1 (Jan. – Feb. 2013), PP 25-31
www.iosrjournals.org

Entangled Photon Encoding Using Trapping of Picoseconds
Soliton pulse
I. S. Amiri*1, D. Gifany2, J. Ali1
1
Institute of Advanced Photonics Science, Nanotechnology Research Alliance, Universiti
Teknologi Malaysia (UTM), 81300 Johor Bahru, Malaysia
2
Faculty of Engineering and Technology, Multimedia University (MMU), Melaka, Malaysia

ABSTRACT: The microring resonator (MRR) system can be used to trap optical solitons. These types of
pulses are used to generate entangled photon required for quantum keys. The required information can be
provided via the quantum keys. We simulate localized spatial and temporal soliton pulses to form an optical
communication used in wireless systems. The input soliton pulses with peak power of 500 and 550 mW are used
to generate a spectrum of chaotic signals within the nonlinear medium, where the nonlinear refractive index is
selected to n2=2.2 x 10-17m2/W. The ultra-short soliton pulse can be trapped within the 3.52 GHz frequency,
where the temporal soliton pulse with FWHM of 25 ps could be simulated and used to generate entangled
photon pair. The generated entangled photons are input into a wireless router system which is used to transfer
them within a network communication system. The router system is used to receive the information and convert
it to analog signals at the end of the transmission link, thus data can be sent to the users via a secured optical
communication system using MRRs.
Keywords: Microring Resonator (MRR), Spatial and Temporal Soliton, Quantum Keys

I. INTRODUCTION
Optical communication is an interesting area in Photonics for two decades [1]. It is very attractive
especially when it uses quantum cryptography in a network system where it was reported by Amiri et al [2-3].
Quantum keys can form requires information which provides the perfect communication security [4]. Amiri et
al. showed that quantum security could be performed via the optical-wired and wireless link [5]. Some research
works have shown that some techniques of quantum cryptography are proposed, where the systems of MRR are
still complicated [6-8]. Amiri et al proposed a new quantum key distribution rule in which carrier information is
encoded on continuous variables of a single photon [9]. In such a way, Alice randomly encodes information on
either the central frequency of a narrow band single-photon pulse or the time delay of a broadband single-photon
pulse [10]. Liu and Goan studied the entanglement evolution under the influence of non-Markovian thermal
environments. The continuous variable systems could be two modes of electromagnetic fields or two nano-
mechanical oscillators in the quantum domain, where there is no process that can be performed within a single
system [11].
To generate a spectrum of light over a broad range [12-13], an optical soliton pulse is recommended as
a powerful laser pulse that can be used to generate chaotic filter characteristics when propagating within MRRs
[14-19]. Therefore, the capacity of the transmission data can be secured and increased when the chaotic packet
switching is employed [20]. In this research, we simulate localized spatial and temporal soliton pulses to form
the high capacity and security communication [21-23]. The MRR system is used to trap optical solitons in order
to generate entangled photon pair required for quantum keys [24]. Here, generation of the localized ultra-short
soliton pulses for continuous variable application is demonstrated [25-27]. The system of quantum key
generation can be implemented within the wireless networks [28]. Thus, the links can be set up using the optical
soliton, generated by the technique called chaotic filtering scheme in which required signals can be selected and
used [29-35]. The device parameters are simulated according to the practical device parameters [36-40], where
the results obtained have shown that the entangled photon pair can be performed within the MRR device [41].

II. THEORETICAL MODELING
The schematic diagram of the proposed system is as shown in Fig. 1. This system is associated with the
practical device.

www.iosrjournals.org 25 | Page

Entangled Photon Encoding Using Trapping of Picoseconds Soliton pulse

Fig.1: Schematic diagram of a continuous variable quantum key distribution with the different time slot
entangled photon encoding. PBS, polarizing beam splitter, Ds, detectors, Rs, ring radii and κs, coupling
coefficients.

The soliton pulse is introduced into the proposed system. The input optical field (Ein) of the bright
soliton pulse can be expressed as [42-44],

T   z   (1)
 2 L   i0t 
Ein  A sec h   exp  
 T0   D  

A and z are the optical field amplitude and propagation distance, respectively [45-47]. T is a soliton pulse
propagation time in a frame moving at the group velocity [48], T = t-β1×z [49], where β1 and β2 are the
coefficients of the linear and second order terms of the Taylor expansion of the propagation constant [50-53].
LD  T02  2 is the dispersion length of the soliton pulse [54-57]. The frequency shift of the soliton is ω0 [58].
This solution describes a pulse that keeps its temporal width invariance as it propagates [59], and thus is called a
 
temporal soliton [60]. When a soliton peak intensity  2 / T02 is given [61], then To is known [62]. For the
soliton pulse in the micro ring device, a balance should be achieved between the dispersion length (LD) [63-65]
and the nonlinear length (LNL= (1/NL) [66-68] , where  = n2×k0 [69], is the length scale over which disperse or
nonlinear effects makes the beam becomes wider or narrower [70-71]. For a soliton pulse, there is a balance
between dispersion and nonlinear lengths, hence LD=LNL [72-75]. When light propagates within the nonlinear
medium, the refractive index (n) of light within the medium is given by [76-77]

n2 (2)
n  n0  n2 I  n0  ( ) P,
Aeff

where n0 and n2 are the linear and nonlinear refractive indexes, respectively. I and P are the optical intensity and
optical power, respectively [78]. The effective mode core area of the device is given by Aeff [79]. For the MRR,
the effective mode core areas range from 0.50 to 0.12 m2. The resonant output is can be formed, thus the
normalized output of the light field is given by [80-81],

 
 
2
Eout (t ) (1  (1   ) x 2 ) (3)
 (1   ) 1  
Ein (t ) 2  
 (1  x 1   1   )  4 x 1   1   sin ( )
2

 2 

where, the output and input fields in each round-trip are presented by Eout (t) and Ein (t) [82]. Equation (3)
indicates that a ring resonator in the particular case is very similar to a Fabry-Perot cavity [83], which has an
input and an output mirror with a field reflectivity, (1-  ), and a fully reflecting mirror [84]. κ is the coupling
coefficient [85-87], and x=exp (-αL/2) represents a round-trip loss coefficient [88], Φ0=kLn0 [89] and
ΦNL=kLn2|Ein|2 [90] are the linear and nonlinear phase shifts, k=2/ is the wave propagation number in a
vacuum [91]. L and α are a waveguide length and linear absorption coefficient, respectively [13]. In this work,
the iterative method is introduced to obtain the results as shown in equation (3).



III. RESULT AND DISCUSSION
A soliton pulse with a peak power of 550 mW is input into the system. The suitable ring parameters are
used, for instance, ring radii R1=10 μm, R2=10μm, and R3=12μm. The selected parameters of the system are fixed
to 0=87.5 mm, n0=3.34 (InGaAsP/InP), Aeff1=0.50, Aeff2=0.50 and Aeff3=0.25m2 for three microring resonators
respectively, =0.5dBmm-1, =0.1. The coupling coefficient (κ) of the MRR ranged from 0.97 to 0.998.
The large bandwidth within the micro ring device can be generated by using a soliton pulse input into
the nonlinear MRR shown in Fig. 1, where the required signals perform the secure communication network. The
nonlinear refractive index is n2=2.2 x 10-17m2/W. In this case, the wave guided loss used is 0.5dBmm-1. From Fig.
2, the signal is sliced into a smaller signals spreading over the spectrum. The compress bandwidth is obtained
within the ring R2. The amplified gain is obtained within a MRR (R3). Frequency soliton pulse is formed and
trapped by using the constant gain condition. The attenuation of the optical power within a MRR is required in
order to keep the constant output gain, where the next round input power is attenuated and kept the same level
with the R2 output.

Fig. 2: Results obtained when frequency soliton pulse is localized within a microring device with 20,000
roundtrips, the ring radii are R1= 10 μm , R2= 10 μm , R3= 12 μm

Therefore ultra-short of soliton pulse can be trapped within 3.52 GHz frequency as shown in Fig. 2.
Similarly, the temporal soliton is obtained as shown in Fig. 3, where a soliton pulse with peak power of 500 mW
is input into the MRRs system. The ring radii R1=10 μm, R2=5μm, and R3=4rμm. The selected parameters of the
system are fixed to 0=1.55 μm, n0=3.34 (InGaAsP/InP), Aeff1=0.50m2, Aeff2=0.25m2 and Aeff3=0.12m2 for
three microring resonators respectively, =0.5dBmm-1, =0.1. The coupling coefficient of the MRR is fixed to
0.975. Here, a soliton pulse with FWHM of 25 ps is simulated.

Fig. 3: Results obtained when temporal soliton with FWHM=25 ps
is localized within a microring device



Each pair of the possible polarization entangled photons is formed within different time frames by
using the polarization control unit as shown in Fig. 1, which they can be represented by two polarization
orientation angles as [0°, 90°]. They can be formed by using the optical component called the polarization
rotatable device and PBS. Here we introduce the technique that is used to generate the qubits. A polarization
coupler separates the basic vertical and horizontal polarization states according to an optical switch between the
short and long pulses. The following state at time t1 is created by Eq. (4).

|Φ>p=|1, H>s |1, H>i +|2, H>s |2, H>i (4)

In the expression |k, H>, k is defined as the number of time slots, where it denotes the state of
polarization. The subscripts, s and i present the signal and idler states. The two-photon state with |H>
polarization shown by equation (4) is input into the orthogonal polarization-delay circuit. The delay circuit
consists of a coupler and the difference between the round-trip times of the MRR is equal to Δt. The round trip
of the ring can be converted into |V> at the delay circuit output. That is the delay circuits convert

r|k, H> + t2 exp(iΦ) |k+1, V> + rt2 exp(i2Φ) |k+2, H> + r 2t2 exp(i3Φ) |k+3, V> (5)

Where t and r is the amplitude transmittances to cross and bar ports in a coupler. Then, the polarized
state is given by [92]

|Φ>=[|1, H>s + exp(iΦs) |2, V>s] × [|1, H>i + exp(iΦi) |2, V>i]
+ [|2, H>s + exp(iΦs) |3, V>s × [|2, H>i + exp(iΦi) |2, V>i] =
[|1, H>s |1, H>i + exp(iΦi) |1, H>s |2, V>i] + exp(iΦs) |2, V>s |1, H>i +
exp[i(Φs+Φi)] |2, V>s |2, V>i + |2, H>s |2, H>i + exp(iΦi) |2, H>s |3, V>i +
exp(iΦs) |3, V>s |2, H>i + exp[i(Φs+Φi)] |3, V>s |3, V>i (6)

As a result, we can obtain the following polarization entangled state as

|Φ>=|2, H>s |2, H>i + exp [i(Φs+Φi)] |2, V>s |2, V>i (7)

A wireless router system can be used to transfer generated entangled photons via a wireless access
point, and network communication system shown in Fig. 4.

Fig.4: System of entangled photons transmission using a wireless access point system

A wireless access system transmits data to different users via wireless connection [93]. The
transmission of information can be sent to the Internet using a physical, wired Ethernet connection. This method
also works in reverse, when the router system used to receive information from the Internet, translating it into an
analog signal and sending it to the computer’s wireless adapter.

IV. CONCLUSION
An interesting concept can be presented, in which the quantum key is generated by using a remarkably
simple system. Proposed system consists of a series of MRRs. Balance between dispersion and nonlinear lengths
of the soliton pulse exhibit the self-phase modulation effect. Therefore, light pulse can be trapped, localized
coherently within the waveguide. We have shown that a large bandwidth of the arbitrary soliton pulses can be
generated and compressed within a micro waveguide. The chaotic signal generation using a soliton pulse
propagating within the nonlinear MRR has been presented. A selected light pulse can be localized and used to
perform the secure communication network. Localized spatial and temporal soliton pulse can used to generate
entangled photon pair that provides quantum keys, applicable for communication networks. We have analyzed



the entangled photon generated by chaotic signals in the series MRR devices. The classical information and
security code can be formed by using the temporal and spatial soliton pulses, respectively, where the
transmission of secured data can be implemented via wireless access point system used in optical
communication networks.
ACKNOWLEDGEMENTS
I. S. Amiri would like to thank the Institute of Advanced Photonics Science, Enabling Science &
Nanotechnology Research Alliance, Universiti Teknologi Malaysia (UTM).

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[54] J. Ali, A. Afroozeh, I. S. Amiri, M. A. Jalil, M. Kouhnavard, and P. P. Yupapin, Generation of continuous optical spectrum by
soliton into a nano-waveguide, presented at the ICAMN, International Conference, Prince Hotel, Kuala Lumpur, Malaysia, 2010.
[55] J. Ali, I. S. Amiri, M. A. Jalil, F. K. Mohamad, and P. P. Yupapin, Optical dark and bright soliton generation and amplification,
presented at the Nanotech Malaysia, International Conference on Enabling Science & Technology, KLCC, Kuala Lumpur,
Malaysia, 2010.
[56] I. S. Amiri, A. Afroozeh, M. Bahadoran, J. Ali, and P. P. Yupapin, Up and Down Link of Soliton for Network Communication,
presented at the National Science Postgraduate Conference, NSPC, Malaysia, 2011.
[57] M. Kouhnavard, A. Afroozeh, M. A. Jalil, I. S. Amiri, J. Ali, and P. P. Yupapin, Soliton Signals and the Effect of Coupling
Coefficient in MRR Systems, in Faculty of Science Postgraduate Conference (FSPGC), Universiti Teknologi Malaysia, 2010.
[58] J. Ali, M. Jalil, I. Amiri, A. Afroozeh, M. Kouhnavard, I. Naim, and P. Yupapin, Multi-wavelength narrow pulse generation using
MRR, presented at the ICAMN, International Conference, Prince Hotel, Kuala Lumpur, Malaysia, 2010.
[59] J. Ali, H. Nur, S. Lee, A. Afroozeh, I. Amiri, M. Jalil, A. Mohamad, and P. Yupapin, Short and millimeter optical soliton generation
using dark and bright soliton, presented at the AMN-APLOC International Conference, Wuhan, China, 2010.
[60] J. Ali, I. Amiri, A. Afroozeh, M. Kouhnavard, M. Jalil, and P. Yupapin, Simultaneous dark and bright soliton trapping using
nonlinear MRR and NRR, presented at the ICAMN, International Conference, Malaysia, 2010.
[61] J. Ali, A. Mohamad, I. Nawi, I. Amiri, M. Jalil, A. Afroozeh, and P. Yupapin, Stopping a dark soliton pulse within an NNRR,
presented at the AMN-APLOC International Conference, Wuhan, China 2010.
[62] I. S. Amiri, S. Babakhani, G. Vahedi, J. Ali, and P. Yupapin, Dark-Bright Solitons Conversion System for Secured and Long
Distance Optical Communication, IOSR Journal of Applied Physics (IOSR-JAP), 2(1), 2012, 43-48.



[63] A. Afroozeh, I. S. Amiri, J. Ali, and P. P. Yupapin, Determination Of Fwhm For Solition Trapping, Jurnal Teknologi (Sciences and
Engineering), 55, 2012, 77-83.
[64] J. Ali, I. S. Amiri, M. A. Jalil, A. Afroozeh, M. Kouhnavard, and P. Yupapin, Novel system of fast and slow light generation using
micro and nano ring resonators, presented at the ICAMN, International Conference, Prince Hotel, Kuala Lumpur, Malaysia, 2010.
[65] I. S. Amiri, M. Ranjbar, A. Nikoukar, A. Shahidinejad, J. Ali, and P. Yupapin, Multi optical Soliton generated by PANDA ring
resonator for secure network communication, in Computer and Communication Engineering (ICCCE) Conference, Malaysia, 2012,
760-764.
[66] J. Ali, I. Amiri, M. Jalil, M. Kouhnavard, A. Afroozeh, I. Naim, and P. Yupapin, Narrow UV pulse generation using MRR and NRR
system, presented at the ICAMN, International Conference, Prince Hotel, Kuala Lumpur, Malaysia, 2010.
[67] I. S. Amiri, M. A. Jalil, F. K. Mohamad, N. J. Ridha, J. Ali, and P. P. Yupapin, Storage of Atom/Molecules/Photon using Optical
Potential Wells, presented at the International Conference on Experimental Mechanics (ICEM), Kuala Lumpur, Malaysia, 2010.
[68] A. Nikoukar, I. S. Amiri, A. Shahidinejad, A. Shojaei, J. Ali, and P. Yupapin, MRR quantum dense coding for optical wireless
communication system using decimal convertor, in Computer and Communication Engineering (ICCCE) Conference, Malaysia,
2012, 770-774.
[69] J. Ali, M. Kouhnavard, A. Afroozeh, I. S. Amiri, M. A. Jalil, and P. P. Yupapin, Optical bistability in a FORR, presented at the
ICEM Conference, Legend Hotel, Kuala Lumpur, Malaysia, 2010.
[70] J. Ali, M. Aziz, I. Amiri, M. Jalil, A. Afroozeh, I. Nawi, and P. Yupapin, Soliton wavelength division in MRR and NRR Systems,
presented at the AMN-APLOC International Conference, Wuhan, China 2010.
[71] I. Amiri, J. Ali, and P. Yupapin, Security Enhancement of the Optical Signal Communication using Binary Codes Generated by
Optical Tweezers, Chinese Journal of Physics, 2013.
[72] A. Afroozeh, M. Bahadoran, I. S. Amiri, A. R. Samavati, J. Ali, and P. P. Yupapin, Fast Light Generation Using Microring
Resonators for Optical Communication, presented at the National Science Postgraduate Conference NSPC, Universiti Teknologi
Malaysia, 2011.
[73] J. Ali, K. Raman, A. Afroozeh, I. S. Amiri, M. A. Jalil, I. N. Nawi, and P. P. Yupapin, Generation of DSA for security application,
presented at the 2nd International Science, Social Science, Engineering Energy Conference (I-SEEC), Nakhonphanom, Thailand,
2010.
[74] J. Ali, K. Raman, M. Kouhnavard, I. S. Amiri, M. A. Jalil, A. Afroozeh, and P. P. Yupapin, Dark soliton array for communication
security, presented at the AMN-APLOC International Conference, Wuhan, China, 2011.
[75] M. A. Jalil, I. S. Amiri, M. Kouhnavard, A. Afroozeh, J. Ali, and P. P. Yupapin, Finesse Improvements of Light Pulses within MRR
System, in Faculty of Science Postgraduate Conference (FSPGC), Universiti Teknologi Malaysia, 2010.
[76] J. Ali, A. Afroozeh, I. S. Amiri, M. Hamdi, M. Jalil, M. Kouhnavard, and P. Yupapin, Entangled photon generation and recovery
via MRR, presented at the ICAMN, International Conference, Prince Hotel, Kuala Lumpur, Malaysia, 2010.
[77] I. S. Amiri, A. Afroozeh, J. Ali, and P. P. Yupapin, Generation Of Quantum Codes Using Up And Down Link Optical Solition,
Jurnal Teknologi (Sciences and Engineering), 55, 2012, 97-106.
[78] J. Ali, S. Saktioto, M. Hamdi, and I. S. Amiri, Dynamic silicon dioxide fiber coupling polarized by voltage breakdown, presented at
the Nanotech Malaysia, International Conference on Enabling Science & Technology, KLCC, Kuala Lumpur, Malaysia, 2010.
[79] M. A. Jalil, I. S. Amiri, C. Teeka, J. Ali, and P. P. Yupapin, All-optical Logic XOR/XNOR Gate Operation using Microring and
Nanoring Resonators, Global Journal of Physics Express, 1(1), 2011, 15-22.
[80] J. Ali, M. Roslan, M. Jalil, I. Amiri, A. Afroozeh, I. Nawi, and P. Yupapin, DWDM enhancement in micro and nano waveguide,
presented at the AMN-APLOC International Conference, Wuhan, China, 2010.
[81] M. Bahadoran, I. S. Amiri, A. Afroozeh, J. Ali, and P. P. Yupapin, Analytical Vernier Effect for Silicon Panda Ring Resonator,
presented at the National Science Postgraduate Conference, NSPC, Universiti Teknologi Malaysia, 2011.
[82] F. K. Mohamad, N. J. Ridha, I. S. Amiri, J. A. Saktioto, and P. P. Yupapin, Finesse Improvements of Light Pulses within MRR
System, presented at the International Conference on Experimental Mechanics (ICEM), Kuala Lumpur, Malaysia, 2010.
[83] N. Suwanpayak, S. Songmuang, M. A. Jalil, I. S. Amiri, I. Naim, J. Ali, and P. P. Yupapin, Tunable and storage potential wells
using microring resonator system for bio-cell trapping and delivery, in Enabling Science and Nanotechnology (ESciNano)
Conference, 2010, 289-291.
[84] I. S. Amiri, A. Shahidinejad, A. Nikoukar, J. Ali, and P. Yupapin, A Study oF Dynamic Optical Tweezers Generation For
Communication Networks, International Journal of Advances in Engineering & Technology (IJAET), 4(2), 2012, 38-45.
[85] M. Imran, R. A. Rahman, and I. S. Amiri, Fabrication of Diffractive Optical Element using Direct Writing CO2 Laser Irradiation, in
Faculty of Science Postgraduate Conference (FSPGC), Universiti Teknologi Malaysia, 2010.
[86] S. Saktioto, S. Daud, J. Ali, M. A. Jalil, I. S. Amiri, and P. P. Yupapin, FBG simulation and experimental temperature measurement,
presented at the ICEM Conference, Legend Hotel, Kuala Lumpur, Malaysia, 2010.
[87] S. Saktioto, S. Daud, M. A. Jalil, I. S. Amiri, and P. P. Yupapin, FBG sensing system for outdoor temperature measurement,
presented at the ICEM Conference, Legend Hotel, Kuala Lumpur, Malaysia, 2010.
[88] I. S. Amiri, M. A. Jalil, F. K. Mohamad, N. J. Ridha, J. Ali, and P. P. Yupapin, Storage of Optical Soliton Wavelengths Using
NMRR, presented at the International Conference on Experimental Mechanics (ICEM), Kuala Lumpur, Malaysia, 2010.
[89] A. Afroozeh, M. Kouhnavard, I. S. Amiri, M. A. Jalil, J. Ali, and P. P. Yupapin, Effect of Center Wavelength on MRR
Performance, in Faculty of Science Postgraduate Conference (FSPGC), Universiti Teknologi Malaysia, 2010.
[90] N. J. Ridha, F. K. Mohamad, I. S. Amiri, Saktioto, J. Ali, and P. P. Yupapin, Controlling Center Wavelength and Free Spectrum
Range by MRR Radii, presented at the International Conference on Experimental Mechanics (ICEM), Kuala Lumpur, Malaysia,
2010.
[91] S. Saktioto, J. Ali, M. Hamdi, and I. Amiri, Calculation and prediction of blood plasma glucose concentration, presented at the
ICAMN, International Conference, Prince Hotel, Kuala Lumpur, Malaysia, 2010.
[92] I. S. Amiri, G. Vahedi, A. Shojaei, A. Nikoukar, J. Ali, and P. P. Yupapin, Secured Transportation of Quantum Codes Using
Integrated PANDA-Add/drop and TDMA Systems, International Journal of Engineering Research & Technology (IJERT), 1(5),
2012.
[93] A. Afroozeh, I. S. Amiri, M. Bahadoran, J. Ali, and P. P. Yupapin, Simulation of Soliton Amplification in Micro Ring Resonator for
Optical Communication, Jurnal Teknologi (Sciences and Engineering), 55, 2012, 271-277.


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