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"http://wwwinformationdelightinfo/encyclopedia/entry/Orthonormal_basis" class="copylinks">Basis States '' (also called ''basis kets'') <math>k_i
angle</math> in the form
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\sum_i c_i k_i
angle</math>
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"http://wwwinformationdelightinfo/encyclopedia/entry/probability_amplitude" class="copylinks">Probability Amplitude , such that the absolute square of the probability amplitude, <math>\left c_i
ight ^2</math> is the Probability of a Measurement in terms of the basis states yielding the state <math>k_i
angle</math> The normalization condition mandates that the total sum of probabilities is equal to one,
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1</math>
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\langle \psi A \psi
angle = \sum_i a_i \langle \psi \alpha_i
angle \langle \alpha_i \psi
angle = \sum_i a_i \langle \alpha_i \psi
angle ^2 = \sum_i a_i P(\alpha_i)</math>
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\sum_s p_s \psi_s
angle \langle \psi_s </math>
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"" class="copylinks" target="_blank">A
ight = \langle \overline{A}
angle = \sum_s p_s \langle \psi_s A \psi_s
angle = \sum_s \sum_i p_s a_i \langle \alpha_i \psi_s
angle ^2 = tr(
ho A)</math>
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