Shows_the_application_of_a_hadamard_gate_on_a_state_that_span_two_qubits.png
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Summary
Description Shows the application of a hadamard gate on a state that span two qubits.png |
English:
Shows how one may think when applying gates on quantum states that span more qubits than what the gate can handle. The Hadamard gate acts on one qubit, but
may be an entangled state that spans more than one qubit (
spans 2 qubits in this picture).
|
Date | |
Source | LaTeX qcircuit script |
Author | Omnissiahs hierophant |
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% Qcircuit script for generating the picture (compiles with warnings) %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \documentclass{amsart} \usepackage[matrix,frame,arrow]{xypic} \usepackage[braket]{qcircuit} \vfuzz2pt %%% ---------------------------------------------------------------------- \begin{document} \[ \Qcircuit @C=.7em @R=.5em { \raisebox{-7ex}{$|\psi\rangle \Bigg\{$} & & \lstick{} & \gate{H} & \qw & \raisebox{-5ex}{$=$} & & \gate{H} & \qw & \raisebox{-5ex}{$=$} & & \qw & \multigate{1}{H \otimes I} & \qw & & & & & \raisebox{-7ex}{$\Bigg\} (H \otimes I)|\psi\rangle $} \\ & & \lstick{} & \qw & \qw & & & \gate{I} & \qw & & & \qw & \ghost{H \otimes I} & \qw & & & & & \gategroup{1}{4}{3}{4}{.7em}{.} \\ & & & & & & & & & & & & & & & & & & } \] \end{document} % ------------------------------------------------------------------------
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