Optical modulation method and device using nested optical modulator

1. An optical modulation device comprising:

a nested modulator including a first modulator based on Mach-Zehnder interferometer, a second modulator based on Mach-Zehnder interferometer and a phase shifter, wherein the first modulator and the second modulator are connected in parallel, wherein the phase shifter generates a predetermined phase difference between output lightwaves of the first modulator and the second modulator;

a controller configured to control the phase difference generated by the phase shifter and an intensity and a magnitude of phase modulation provided by each of the first modulator and the second modulator, to change an output lightwave of the nested modulator between four constellation points on IQ plane,

wherein a first constellation point of the four constellation points has an intensity of 0, a second constellation point has a relative intensity of 1, each of a third constellation point and a fourth constellation point has a relative intensity ranging from 0 to 1, and the third and the fourth constellation points has a phase difference of 90 degrees,

wherein the first modulator is a Mach-Zehnder modulator having a first control electrode for controlling the intensity and the magnitude of phase modulation and the second modulator is a Mach-Zehnder modulator having a second control electrode for controlling the intensity and the magnitude of phase modulation,

the controller further configured to apply a voltage of an amplitude corresponding to a phase modulation of 90 degrees to the first control electrode of the first modulator, to apply a voltage of an amplitude corresponding to a phase modulation of −90 degrees to the second control electrode of the second modulator, and to apply a DC bias voltage corresponding to a phase difference of 180 degrees to the phase shifter.

2. The optical modulation device according to claim 1 , wherein the first constellation point is obtained by setting a phase difference at 180 degrees between a first output lightwave of the first modulator and an output lightwave of the phase shifter giving a second lightwave of the second modulator the predetermined phase difference.

3. The optical modulation device according to claim 2 , wherein

the phase difference generated by the phase shifter is set to 180 degrees,

the second constellation point is obtained by setting the first modulator for a phase modulation of 90 degrees and the second modulator for a phase modulation of −90 degrees, and

the third and the fourth constellation points are obtained by setting one of the first and second modulators for on state in which an output lightwave of the one has an intensity of 1 and setting the other for a phase modulation of 90 or −90 degrees.

4. The optical modulation device according to claim 1 , wherein

the nested modulator performs intensity and phase modulation on two consecutive optical pulses which are coherent, according to phase-time coding scheme,

the controller further configured to generate a Z-basis state of the phase-time coding scheme between the first constellation point and the second constellation point and to generate a Y-basis state between the third constellation point and the fourth constellation point.

5. A transmitter in a quantum key distribution system, comprising the optical modulation device according to claim 4 .

6. An optical modulation method using a nested modulator including a first modulator, based on Mach-Zehnder interferometer, a second modulator based on Mach-Zehnder interferometer, and a phase shifter, wherein the first modulator and the second modulator are connected in parallel, wherein the phase shifter generates a predetermined phase difference between output lightwaves of the first modulator and the second modulator, the method comprising:

controlling the phase difference generated by the phase shifter and an intensity and a magnitude of phase modulation provided by each of the first modulator and the second modulator, to change an output lightwave of the nested modulator between four constellation points on IQ plane;

wherein a first constellation point of the four constellation points has an intensity of 0, a second constellation point has a relative intensity of 1, each of a third constellation point and a fourth constellation point has a relative intensity ranging from 0 to 1, and the third and the fourth constellation points has a phase difference of 90 degrees,

wherein the first modulator is a Mach-Zehnder modulator having a first control electrode for controlling the intensity and the magnitude of phase modulation and the second modulator is a Mach-Zehnder modulator having a second control electrode for controlling the intensity and the magnitude of phase modulation, the method further comprising:

applying a voltage of an amplitude corresponding to a phase modulation of 90 degrees to the first control electrode of the first modulator,

applying a voltage of an amplitude corresponding to a phase modulation of −90 degrees to the second control electrode of the second modulator, and

applying a DC bias voltage correspond to a phase difference of 180 degrees to the phase shifter.

7. The optical modulation method according to claim 6 , wherein the first constellation point is obtained by setting a phase difference at 180 degrees between a first output lightwave of the first modulator and an output lightwave of the phase shifter giving a second lightwave of the second modulator the predetermined phase difference.

8. The optical modulation method according to claim 7 , further comprising:

setting the phase difference generated by the phase shifter to 180 degrees,

setting the first modulator for a phase modulation of 90 degrees and the second modulator for a phase modulation of −90 degrees, to obtain the second constellation point, and

setting one of the first and second modulators for on state in which an output lightwave of the one has an intensity of 1 and setting the other for a phase modulation of 90 or −90 degrees to obtain the third and the fourth constellation points.

9. The optical modulation method according to claim 6 , the method further comprising:

controlling the nested modulator to perform an intensity and phase modulation on two consecutive optical pulses which are coherent according to phase-time coding scheme,

generating a Z-basis state of the phase-time coding scheme between the first constellation point and the second constellation point, and

generating a Y-basis state between the third constellation point and the fourth constellation point.

10. A computer-readable non-transitory recording medium storing a program comprising a set of instructions to control a nested modulator including a first modulator based on Mach-Zehnder interferometer, a second modulator based on Mach-Zehnder interferometer, and a phase shifter, wherein the first modulator and the second modulator are connected in parallel, wherein the phase shifter generates a predetermined phase difference between output lightwaves of the first modulator and the second modulator, the program comprising:

controlling the phase difference generated by the phase shifter and an intensity and a magnitude of phase modulation provided by each of the first modulator and the second modulator, to change an output lightwave of the nested modulator between four constellation points on IQ plane;

wherein a first constellation point of the four constellation points has an intensity of 0, a second constellation point has a relative intensity of 1, each of a third constellation point and a fourth constellation point has a relative intensity ranging from 0 to 1, and the third and the fourth constellation points has a phase difference of 90 degrees,

wherein the first modulator is a Mach-Zehnder modulator having a first control electrode for controlling the intensity and the magnitude of phase modulation and the second modulator is a Mach-Zehnder modulator having a second control electrode for controlling the intensity and the magnitude of phase modulation, the program further comprising:

applying a voltage of an amplitude corresponding to a phase modulation of 90 degrees to the first control electrode of the first modulator,

applying a voltage of an amplitude corresponding to a phase modulation of −90 degrees to the second control electrode of the second modulator, and

applying a DC bias voltage correspond to a phase difference of 180 degrees to the phase shifter.