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2. Optical phase space - Wikipedia

   en.wikipedia.org/wiki/Optical_phase_space

   Operators given by ^ = (^ † + ^) and ^ = (^ † ^) are called the quadratures and they represent the real and imaginary parts of the complex amplitude represented by ^. [1] The commutation relation between the two quadratures can easily be calculated:

3. Tanh-sinh quadrature - Wikipedia

   en.wikipedia.org/wiki/Tanh-sinh_quadrature

   Tanh-sinh, exp-sinh, and sinh-sinh quadrature are implemented in the C++ library Boost [3] Tanh-sinh quadrature is implemented in a macro-enabled Excel spreadsheet by Graeme Dennes. [4] Tanh-sinh quadrature is implemented in the Haskell package integration. [5] Tanh-sinh quadrature is implemented in the Python library mpmath. [6]

4. In-phase and quadrature components - Wikipedia

   en.wikipedia.org/wiki/In-phase_and_quadrature...

   The two amplitude-modulated sinusoids are known as the in-phase (I) and quadrature (Q) components, which describes their relationships with the amplitude- and phase-modulated carrier. [ A ] [ 2 ] Or in other words, it is possible to create an arbitrarily phase-shifted sine wave, by mixing together two sine waves that are 90° out of phase in ...

5. Quadrature - Wikipedia

   en.wikipedia.org/wiki/Quadrature

   Quadrature amplitude modulation (QAM), a modulation method of using both an (in-phase) carrier wave and a 'quadrature' carrier wave that is 90° out of phase with the main, or in-phase, carrier Quadrature phase-shift keying (QPSK), a phase-shift keying of using four quadrate points on the constellation diagram, equispaced around a circle

6. Displacement operator - Wikipedia

   en.wikipedia.org/wiki/Displacement_operator

   In the quantum mechanics study of optical phase space, the displacement operator for one mode is the shift operator in quantum optics, ^ = ⁡ (^ † ^), where is the amount of displacement in optical phase space, is the complex conjugate of that displacement, and ^ and ^ † are the lowering and raising operators, respectively.

7. Squeezed coherent state - Wikipedia

   en.wikipedia.org/wiki/Squeezed_coherent_state

   In physics, a squeezed coherent state is a quantum state that is usually described by two non-commuting observables having continuous spectra of eigenvalues.Examples are position and momentum of a particle, and the (dimension-less) electric field in the amplitude (phase 0) and in the mode (phase 90°) of a light wave (the wave's quadratures).