Multi-mode pump laser based multi-wavelength entangled photon pair generation device and quantum key distribution network configuration method using the same
12386236 ยท 2025-08-12
Assignee
Inventors
- Yong Sup IHN (Daejeon, KR)
- Dongkyu Kim (Daejeon, KR)
- Kyungdeuk Park (Daejeon, KR)
- Dong Gil Im (Daejeon, KR)
- Yonggi Jo (Daejeon, KR)
- Nam Hun Park (Daejeon, KR)
- Dohoon Lim (Daejeon, KR)
- Jung Mo LEE (Daejeon, KR)
Cpc classification
G02F1/3519
PHYSICS
International classification
Abstract
A multi-wavelength entangled photon pair generation device includes: a multi-mode pump laser that radiates a broadband pump laser beam in an ultraviolet wavelength range including multiple Gaussian-distributed wavelengths; a nonlinear crystal that generates a multi-wavelength de-multiplexed entangled photon pair in a near-infrared wavelength range including multiple wavelength components corresponding to multiple Gaussian-distributed wavelengths of the broadband pump laser beam, respectively; a temperature controller that adjusts a temperature of the nonlinear crystal; and an output optical system that filters out the broadband pump laser beam from light output through the nonlinear crystal and passes the multi-wavelength de-multiplexed entangled photon pair.
Claims
1. A multi-wavelength entangled photon pair generation device comprising: a multi-mode pump laser that radiates a broadband pump laser beam in an ultraviolet wavelength range including multiple Gaussian-distributed wavelengths; a nonlinear crystal that generates a multi-wavelength de-multiplexed entangled photon pair in a near-infrared wavelength range including multiple wavelength components corresponding to multiple Gaussian-distributed wavelengths of the broadband pump laser beam, respectively; a temperature controller that adjusts a temperature of the nonlinear crystal; and a Sagnac interferometer that separates the broadband pump laser beam into two paths such that beams of the two paths are incident on both sides of the nonlinear crystal while facing each other to generate the multi-wavelength de-multiplexed entangled photon pair traveling in opposite directions, wherein the Sagnac interferometer includes: an interferometer polarization beam splitter that splits the broadband pump laser beam into two paths at a ratio of 50:50; a first double-coated mirror and a second double-coated mirror disposed so as to reflect the beams of the two paths such that the beams of the two paths separated by the interferometer polarization beam splitter travel in opposite directions and face each other; and an interferometer half-wave plate positioned between the interferometer polarization beam splitter and the first double-coated mirror.
2. The multi-wavelength entangled photon pair generation device of claim 1, wherein the nonlinear crystal is positioned between the first double-coated mirror and the second double-coated mirror at a portion where the beams of the two paths face each other in opposite directions.
3. The multi-wavelength entangled photon pair generation device of claim 2, wherein the first double-coated mirror and the second double-coated mirror include a first coating reflecting light in an ultraviolet range and a second coating reflecting light in a near-infrared range to reflect light in both of the ultraviolet range and the near-infrared range.
4. The multi-wavelength entangled photon pair generation device of claim 3, wherein the multi-wavelength de-multiplexed entangled photon pair traveling to both sides of the nonlinear crystal is respectively reflected by the first double-coated mirror and the second double-coated mirror, and then combined by the interferometer polarization beam splitter to travel.
5. The multi-wavelength entangled photon pair generation device of claim 4, further comprising: a first lens that focuses the beams of the two paths at a center of the nonlinear crystal positioned within the Sagnac interferometer; and a second lens that adjusts a beam width such that the multi-wavelength de-multiplexed entangled photon pair that is combined by the interferometer polarization beam splitter and travels does not spread out and travels as a straight beam.
6. The multi-wavelength entangled photon pair generation device of claim 5, further comprising: a first dichroic mirror that reflects the broadband pump laser beam passing through the first lens to the Sagnac interferometer; and a second dichroic mirror that transmits the multi-wavelength de-multiplexed entangled photon pair passing through the second lens and reflects light in the ultraviolet range.
7. The multi-wavelength entangled photon pair generation device of claim 6, further comprising: a third dichroic mirror that is configured to split the multi-wavelength de-multiplexed entangled photon pair transmitted through the second dichroic mirror into a signal and an idler.
8. A quantum key distribution network configuration method using a multi-wavelength entangled photon pair generation device, the quantum key distribution network configuration method comprising: irradiating, by the multi-wavelength entangled photon pair generation device, a nonlinear crystal with a broadband pump laser beam in an ultraviolet wavelength range including multiple Gaussian-distributed wavelengths to generate a multi-wavelength de-multiplexed polarization-entangled photon pair in a near-infrared wavelength range including multiple wavelength components corresponding to the multiple Gaussian-distributed wavelengths of the broadband pump laser beam, respectively; splitting, by the multi-wavelength entangled photon pair generation device, the multi-wavelength de-multiplexed polarization-entangled photon pair for each wavelength into a plurality of channels; and multiplexing, by the multi-wavelength entangled photon pair generation device, channels to be distributed to a plurality of users.
9. The quantum key distribution network configuration method of claim 8, wherein the multi-wavelength entangled photon pair generation device changes a temperature of the nonlinear crystal to generate the multi-wavelength de-multiplexed polarization-entangled photon pair in the near-infrared wavelength range that satisfies a temperature-specific phase matching condition for each of multiple wavelength components of the broadband pump laser beam.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
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DETAILED DESCRIPTION
(10) Hereinafter, embodiments of the present disclosure will be described in detail with reference to the accompanying drawings so that those skilled in the art to which the present disclosure pertains may easily practice the present disclosure. However, the present disclosure may be implemented in various different forms and is not limited to embodiments provided herein.
(11) Portions unrelated to the description will be omitted in order to obviously describe the present disclosure, and the same or similar components will be denoted by the same reference numerals throughout the present specification.
(12) In addition, throughout the present specification, unless explicitly described to the contrary, the word comprise and variations such as comprises or comprising, will be understood to imply the inclusion of stated elements but not the exclusion of any other elements.
(13) Hereinafter, a multi-mode pump laser based multi-wavelength entangled photon pair generation device according to an embodiment of the present disclosure will be described with reference to
(14) The multi-mode pump laser based multi-wavelength entangled photon pair generation device according to the embodiment of the present disclosure may generate entangled photon pairs of de-multiplexed wavelengths without filtering using a wavelength de-multiplexing (WDM) filter by irradiating a nonlinear crystal with a broadband pump laser beam having multiple frequency modes. The nonlinear crystal may be a 0-type periodically poled potassium titanyl phosphate (periodically poled KTiOPO.sub.4 (ppKTP)) crystal. The multi-mode pump laser based multi-wavelength entangled photon pair generation device may create a multidimensional entangled state or a hyper-entangled quantum state, and may apply the multidimensional entangled state or the hyper-entangled quantum state to implement the quantum key distribution network.
(15)
(16) Referring to
(17) The multi-mode pump laser 110 may radiate the broadband pump laser beam in an ultraviolet wavelength range toward the input optical system 120. The broadband pump laser beam may have multiple frequency modes and may include multiple Gaussian-distributed wavelength components. The broadband pump laser beam may include multiple wavelength components in an ultraviolet range around 405 nm. The multi-mode pump laser 110 may include an ultraviolet laser diode having a wide bandwidth including multiple wavelength components.
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(19) Referring to
(20) Here, it may be seen that multiple major wavelength components overlap each other to form the spectrum. Such an entire spectrum of the beam may be expressed as the sum of the Gaussian functions
(21)
each having a central wavelength .sub.p0,n, in which .sub.p0,n represents the n-th central wavelength, and h.sub.n and .sub.n represent an amplitude and a dispersion value of the Gaussian function, respectively.
(22) As illustrated in
(23)
of the Gaussian functions having multiple central wavelengths .sub.p0,n.
(24) Referring back to
(25) The first lens 131 may focus the broadband pump laser beam whose polarization direction is aligned with the optical axis direction of the nonlinear crystal 140 by the input optical system 120 on the center of the nonlinear crystal 140. A Rayleigh length of the first lens 131 may be set to be larger than a length of the nonlinear crystal 140 for efficient photon pair generation.
(26) The nonlinear crystal 140 may be a 0-type ppKTP crystal having a periodic poling structure. When the broadband pump laser beam is incident on the nonlinear crystal 140, spontaneous parametric down conversion (SPDC) may occur to generate the photon pair. The nonlinear crystal 140 may generate a multi-wavelength de-multiplexed entangled photon pair in a near-infrared wavelength range including multiple wavelength components corresponding to multiple Gaussian-distributed wavelengths of the broadband pump laser beam, respectively. The multi-wavelength de-multiplexed entangled photon pair may include multiple wavelength components (multiple Gaussian-distributed wavelengths) in a near-infrared range around 810 nm.
(27) The temperature controller 150 may control a temperature of the nonlinear crystal 140. As the temperature controller 150 changes the temperature of the nonlinear crystal 140, the multi-wavelength de-multiplexed entangled photon pair in the near-infrared wavelength range that satisfies a temperature-specific phase matching condition for each of multiple wavelength components of the broadband pump laser beam may be generated. Here, a desired multi-wavelength de-multiplexed entangled photon pairs in the near-infrared wavelength range may be generated in various regions by using various poling periods and the broadband pump laser beam that satisfies the condition.
(28) The second lens 132 may make the multi-wavelength de-multiplexed entangled photon pair be incident on the output optical system 160 by adjusting a beam width such that the multi-wavelength de-multiplexed entangled photon pair generated by focusing the broadband pump laser beam on the center of the nonlinear crystal 140 by the first lens 131 does not spread out and may proceed as a straight beam.
(29) The output optical system 160 may filter out the broadband pump laser beam in the ultraviolet wavelength range from light output through the nonlinear crystal 140 and pass the multi-wavelength de-multiplexed entangled photon pair in the near-infrared wavelength range. To this end, the output optical system 160 may include a first dichroic mirror 161 and a second dichroic mirror 162 arranged such that the light output through the nonlinear crystal 140 sequentially passes therethrough. The first dichroic mirror 161 and the second dichroic mirror 162 may reflect light in an ultraviolet range of 405 nm and transmit light in a near-infrared range of 810 nm. The light output through the nonlinear crystal 140 sequentially passes through the second lens 132, the first dichroic mirror 161, and the second dichroic mirror 162, so that the broadband pump laser beam in the ultraviolet wavelength range may be removed, and the multi-wavelength de-multiplexed entangled photon pair in the near-infrared wavelength range may be incident on the output polarization beam splitter 170.
(30) The output polarization beam splitter 170 may split the multi-wavelength de-multiplexed entangled photon pair into a signal and an idler.
(31) Meanwhile, the entangled photon pair is generated through nonlinear interaction of the broadband pump laser beam and the 0-type ppKTP crystal having the periodic poling structure, and is generated so as to satisfy a quasi-phase matching condition of Equation 1.
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(33) Here, represents a frequency of the broadband pump laser beam, .sub.s represents a frequency of the signal, .sub.i represents a frequency of the idler, .sub.p represents a wavelength of the broadband pump laser beam, .sub.0 represents a wavelength of the signal, and .sub.i represents a wavelength of the idler. A wavenumber k.sub.l may be expressed as a wavelength and a refractive index of light, and l=p,s,i in which p represents a pump, s represents the signal, and i represents the idler. is the poling period of the 0-type ppKTP crystal. m is a matching order, and since there is no contribution of a sync function that achieves phase matching for m other than m that ensures matching under the phase matching condition, only one m value remains as a result.
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(35) Referring to
(36) However, in a case where the broadband pump laser beam having multiple wavelength distributions is used as in the embodiment of the present disclosure, multiple phase matching wavelength conditions according to the wavelength components are established.
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(39) From an interaction Hamiltonian for the phase matching condition, a wave function of the spontaneous parametric down conversion (SPDC) may be obtained, which may be given as in Equation 2.
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(41) Here, .sub.0 represents a vacuum permittivity, and x.sup.(2) represents a second-order nonlinear coefficient. E.sub.p represents an electric field operator of the broadband pump laser beam, E.sub.0 represents an electric field operator of the signal, and E.sub.i represents an electric field operator of the idler. H.C. represents a Hermitian conjugate operator, and a detailed equation related to the electric field operator is omitted here.
(42) One of important physical quantities that represents a property of the photon pair generated through the SPDC process is a joint spectrum intensity (JPI), and the JPI may be obtained as the square of a photon pair wave function. For convenience, in a wavelength domain, the wave function may be expressed as in Equation 3.
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(44) Here, a function
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representing a size of the wavelength domain is defined as a joint spectrum amplitude (JSA), and the square of the JSA is JSI, which may be expressed as in Equation 4.
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(47) The photon pair generated through the SPDC is sometimes desired to have strong correlation depending on an intended use, and is sometimes desired to have as little correlation as possible. For example, in a case where a strongly entangled photon pair is to be obtained, the correlation between the photon pair needs to be large. On the other hand, in a case where a single photon source is to be created, the photon pair needs to have as little correlation as possible. This may be confirmed through the JSA or the JSI. In a case where the JSI may be separated into the functions of .sub.s and .sub.i, respectively, the wave function |> may be separated into the wave functions of the signal and the idler, respectively. This is usually called wave function factorization. In a case where the signal and idler photons are strongly entangled, the wave function factorization is impossible.
(48) Here, when using the broadband pump laser beam according to the embodiment of the present disclosure, a spectrum S(.sub.s, .sub.i) of the generated photon pair may be expressed as the sum of multiple Gaussian-distributed wavelengths as in Equation 5.
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(50) Here, i represents the total number of Gaussian-distributed wavelength components of the broadband pump laser beam, h.sub.n represents an amplitude of the Gaussian-distributed components of the n-th pump, .sub.p0,n represents an average (or central wavelength) of the Gaussian-distributed components of the n-th pump, and .sub.n.sup.2 represents a variance of the Gaussian-distributed components of the n-th pump.
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(52)
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(54) Referring to
(55) Structural characteristics of the multi-mode pump laser 210, the input optical system 220, the first lens 231, the second lens 232, the nonlinear crystal 240, and the temperature controller 250 are substantially the same as structural characteristics of the multi-mode pump laser 110, the input optical system 120, the first lens 131, the second lens 132, the nonlinear crystal 140, and the temperature controller 150 described above in the embodiment of
(56) The first dichroic mirror 271 may reflect a broadband pump laser beam passing through the first lens 231 to the Sagnac interferometer 260. The first dichroic mirror 271 may be configured to reflect a shorter wavelength (an ultraviolet range around 405 nm) and transmit a long wavelength (a near-infrared range around 810 nm). That is, the first dichroic mirror 271 may reflect the broadband pump laser beam in the ultraviolet range around 405 nm and transmit a multi-wavelength de-multiplexed entangled photon pair in the near-infrared band around 810 nm.
(57) The Sagnac interferometer 260 may separate the broadband pump laser beam into two paths such that beams of the two paths are incident on both sides of the nonlinear crystal 240 while facing each other to generate a multi-wavelength de-multiplexed entangled photon pair traveling in opposite directions. To this end, the Sagnac interferometer 260 may include an interferometer polarization beam splitter 261, an interferometer half-wave plate 262, a first double-coated mirror 263, and a second double-coated mirror 264. The interferometer polarization beam splitter 261 may split the incident broadband pump laser beam reflected by the first dichroic mirror 271 into two paths at a ratio of 50:50. The first double-coated mirror 263 and the second double-coated mirror 264 may include a first coating reflecting light in an ultraviolet range of 405 nm and a second coating reflecting light in a near-infrared range of 810 nm, thereby being able to reflect light in both of the ultraviolet wavelength range and the near-infrared wavelength range. The first double-coated mirror 263 and the second double-coated mirror 264 may be disposed so as to reflect the beams of the two paths such that the beams (broadband pump laser beams) of the two paths separated at a ratio of 50:50 by the interferometer polarization beam splitter 261 travel in opposite directions and face each other. At this time, the interferometer half-wave plate 262 may be positioned between the interferometer polarization beam splitter 261 and the first double-coated mirror 263. In addition, the nonlinear crystal 240 may be positioned between the first double-coated mirror 263 and the second double-coated mirror 264 at a portion where the beams of the two paths face each other in opposite directions. The first lens 231 may focus the beams of the two paths at the center of the nonlinear crystal 240 positioned within the Sagnac interferometer 260. The broadband pump laser beams traveling in opposite directions may interact with the nonlinear crystal 240 to generate the multi-wavelength de-multiplexed entangled photon pair traveling to both sides (opposite directions) of the nonlinear crystal 240. The multi-wavelength de-multiplexed entangled photon pair traveling to both sides of the nonlinear crystal 240 is respectively reflected by the first double-coated mirror 263 and the second double-coated mirror 264, and then combined by the interferometer polarization beam splitter 261 and transmitted through the first dichroic mirror 271 to travel. Since the two paths only have different directions and the beam paths are completely coincident with each other in the Sagnac interferometer 260, there is no relative phase difference between the two beam paths, and thus, very stable multi-wavelength de-multiplexed entangled photon pair may be generated.
(58) The second lens 232 may adjust a beam width such that the multi-wavelength de-multiplexed entangled photon pair that is combined by the interferometer polarization beam splitter 261 and transmitted through the first dichroic mirror 271 may travel as a straight beam without spreading out.
(59) The second dichroic mirror 272 is configured to reflect light in the ultraviolet range of 405 nm and transmit light in the near-infrared range of 810 nm, so that the multi-wavelength de-multiplexed entangled photon pair passing through the second lens 232 may be transmitted. The second dichroic mirror 272 may filter out the broadband pump laser beam.
(60) The third dichroic mirror 273 is configured to transmit a first polarization beam of the near-infrared range of 810 nm and reflect a second polarization beam, so that the multi-wavelength de-multiplexed entangled photon pair transmitted through the second dichroic mirror 272 may be split into a signal and an idler, thereby generating a multi-wavelength de-multiplexed polarization-entangled photon pair.
(61)
(62) Referring to
(63) The accompanying drawings and the detailed description have not been used in order to limit the meaning or limit the scope of the present disclosure stated in the claims, but have been used only in order to illustrate the present disclosure. Therefore, a person of an ordinary skill in the art will appreciate that various modifications thereof and equivalent embodiments may be made. Therefore, an actual technical protection scope of the present disclosure is to be defined by the technical idea of the claims.