glossary.tex

%%% Acronyms
% \newacronym[description={One-way quantum computing}]{1WQC}{1WQC}{one-way quantum computing}

% \newacronym[description={Classical information processing}]{CIP}{CIP}{classical information processing}

% \newacronym[description={Noisy intermediate-scale quantum}]{NISQ}{NISQ}{Noisy intermediate-scale quantum}

% \newacronym[description={Quantum Fourier Transform}]{QFT}{QFT}{quantum Fourier transform}
% \newacronym[description={Quantum Phase Estimation}]{QPE}{QPE}{quantum phase estimation}
% \newacronym[description={Spontaneous parametric down conversion}]{SPDC}{SPDC}{spontaneous parametric down conversion}

% \newacronym[description={Mach-Zehnder interferometer}]{MZI}{MZI}{Mach-Zehnder interferometer}

% \newacronym[description={Quantum mechanics}]{QM}{QM}{quantum mechanics}
% \newacronym[description={Quantum computing}]{QC}{QC}{quantum computing}
% \newacronym[description={Quantum information processing}]{QIP}{QIP}{quantum information processing}


\newacronym{MBQC}{MBQC}{measurement-based quantum computing}
\newacronym{NISQ}{NISQ}{noisy intermediate-scale quantum}
\newacronym{SPDC}{SPDC}{spontaneous parametric down conversion}
\newacronym{GHZ}{GHZ}{Greenberger–Horne–Zeilinger}
\newacronym{CHSH}{CHSH}{Clauser-Horne-Shimony-Holt}
\newacronym{BBO}{BBO}{$\beta$-barium borate}
\newacronym{HWP}{HWP}{half-wave plate}
\newacronym{QWP}{QWP}{quarter-wave plate}
\newacronym{IF}{IF}{interference filter}
\newacronym{PBS}{PBS}{polarizing beam splitter}
\newacronym{NPBS}{NPBS}{non-polarizing beam splitter}
\newacronym{DOF}{DOF}{degree of freedom}
\newacronym{DOFS}{DOFS}{degrees of freedom}
\newacronym{CW}{CW}{continuous wave}
\newacronym{OAM}{OAM}{orbital angular momentum}
\newacronym{GRK}{GRK}{Grover-Radhakrishnan-Korepin}
\newacronym{QPE}{QPE}{quantum phase estimation}
\newacronym{QFT}{QFT}{quantum Fourier transform}
\newacronym{QST}{QST}{quantum state tomography}
\newacronym{DFT}{DFT}{discrete Fourier transform}
\newacronym{MEF}{MEF}{modular exponentiation function}
\newacronym{NMR}{NMR}{nuclear magnetic resonance}
\newacronym{max-cut}{MAX-CUT}{maximum cut}
\newacronym{LU}{LU}{local unitary}
\newacronym{ELC}{ELC}{edge local complementation}
\newacronym{VQE}{VQE}{variational quantum eigensolver}
\newacronym{QAOA}{QAOA}{quantum approximate optimization algorithm}
\newacronym{MZI}{MZI}{Mach-Zehnder interferometer}
\newacronym{FPGA}{FPGA}{field-programmable gate array}
\newacronym{FWHM}{FWHM}{full width at half maximum}
\newacronym{SMF}{SMF}{single-mode fiber}
\newacronym{LG}{LG}{Laguerre-Gaussian}
\newacronym{API}{API}{application programming interface}
\newacronym{GUI}{GUI}{graphical user interface}

%% Symbols
\newglossaryentry{Anticommutator}{%
    name        = {$\{\cdot,\cdot\}$},
    description = {Anticommutator $\{X,Y\} = X \cdot Y + Y \cdot X$},
    sort        = {Anticommutator},
}

\newglossaryentry{Commutator}{%
    name        = {$[\cdot,\cdot]$},
    description = {Commutator $[X,Y]  = X \cdot Y - Y \cdot X$ },
    sort        = {Commutator},
}

\newglossaryentry{Field of complex numbers}{%
    name        = {$\mathbb{C}$},
    description = {Field of complex numbers},
    sort        = {Complex numbers},
}

\newglossaryentry{Field of real numbers}{%
    name        = {$\mathbb{R}$},
    description = {Field of real numbers},
    sort        = {Real numbers},
}

\newglossaryentry{Complex conjugate}{%
    name        = {$*$},
	description = {Complex conjugate $(x - iy)^*  = x + iy$ },
    sort        = {Complex conjugate},
}

\newglossaryentry{Hilbert space}{%
    name        = {$\mathcal{H}$},
	description = {Hilbert space},
    sort        = {Hilbert space},
}

\newglossaryentry{Annihilation and Creation operators}{%
    name        = {$(a^{\dagger}, a)$},
    description = {Photon creation and annihilation operators},
    sort        = {Annihilation and Creation operators},
}

\newglossaryentry{Controlled-NOT}{%
    name        = {CNOT},
    description = {Controlled Not gate},
    sort        = {Controlled-NOT},
}

\newglossaryentry{Controlled-Z}{%
    name        = {CPHASE},
    description = {Controlled Phase gate},
    sort        = {Controlled-Z},
}


\newglossaryentry{Circuit depth}{%
    name        = {$d(\cdot)$},
    description = {Circuit depth of argument},
    sort        = {Circuit detph},
}

\newglossaryentry{Graph}{%
    name        = {$G=(V,E)$},
    description = {Graph},
    sort        = {Graph},
}

\newglossaryentry{Edge set}{%
    name        = {$E$},
    description = {Edge set of a graph},
    sort        = {Edge},
}

\newglossaryentry{Vertex set}{%
    name        = {$V$},
    description = {Vertex set of  a graph},
    sort        = {Vertices},
}

\newglossaryentry{Adjacency matrix}{%
    name        = {$\Gamma$},
    description = {Adjacency matrix},
    sort        = {Adjacency matrix},
}


\newglossaryentry{Neighborhood}{%
    name        = {$\eta_i$},
    description = {Neighborhood set of vertex $i$},
    sort        = {Neighborhood},
}


\newglossaryentry{Graph state}{%
    name        = {$\ket{G}$},
    description = {Graph state},
    sort        = {Graph state},
}

\newglossaryentry{Pauli matrices}{%
    name        = {$X,Y,Z$},
    description = {Pauli matrices for a spin 1/2 particle.},
    sort        = {Pauli matrices},
}

\newglossaryentry{Identity matrix}{%
    name        = {$\mathds{1}$},
    description = {Identity matrix},
    sort        = {Identity matrix},
}