paddle_quantum.state.common.po

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# Copyright (C) 2022, Baidu Inc
# This file is distributed under the same license as the paddle-quantum
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# FIRST AUTHOR <EMAIL@ADDRESS>, 2022.
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msgstr ""
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#: ../../source/paddle_quantum.state.common.rst:2
msgid "paddle\\_quantum.state.common"
msgstr ""

#: of paddle_quantum.state.common:1
msgid "The common function of the quantum state."
msgstr ""

#: of paddle_quantum.state.common.to_state:1
msgid "The function to generate a specified state instance."
msgstr ""

#: of paddle_quantum.state.common.bell_diagonal_state
#: paddle_quantum.state.common.bell_state
#: paddle_quantum.state.common.completely_mixed_computational
#: paddle_quantum.state.common.computational_basis
#: paddle_quantum.state.common.ghz_state
#: paddle_quantum.state.common.isotropic_state
#: paddle_quantum.state.common.r_state paddle_quantum.state.common.random_state
#: paddle_quantum.state.common.s_state paddle_quantum.state.common.to_state
#: paddle_quantum.state.common.w_state paddle_quantum.state.common.zero_state
msgid "Parameters"
msgstr ""

#: of paddle_quantum.state.common.to_state:3
msgid "The mathematical analysis of quantum state."
msgstr ""

#: of paddle_quantum.state.common.to_state:4
msgid ""
"The number of qubits contained in the quantum state. Defaults to None, "
"which means it will be inferred by the data."
msgstr ""

#: of paddle_quantum.state.common.bell_state:10
#: paddle_quantum.state.common.computational_basis:5
#: paddle_quantum.state.common.to_state:5
#: paddle_quantum.state.common.zero_state:4
msgid ""
"Used to specify the backend used. Defaults to None, which means to use "
"the default backend."
msgstr ""

#: of paddle_quantum.state.common.computational_basis:6
#: paddle_quantum.state.common.to_state:6
#: paddle_quantum.state.common.zero_state:5
msgid ""
"Used to specify the data dtype of the data. Defaults to None, which means"
" to use the default data type."
msgstr ""

#: of paddle_quantum.state.common.bell_diagonal_state
#: paddle_quantum.state.common.bell_state
#: paddle_quantum.state.common.completely_mixed_computational
#: paddle_quantum.state.common.computational_basis
#: paddle_quantum.state.common.ghz_state
#: paddle_quantum.state.common.isotropic_state
#: paddle_quantum.state.common.r_state paddle_quantum.state.common.random_state
#: paddle_quantum.state.common.s_state paddle_quantum.state.common.to_state
#: paddle_quantum.state.common.w_state paddle_quantum.state.common.zero_state
msgid "Returns"
msgstr ""

#: of paddle_quantum.state.common.bell_diagonal_state:15
#: paddle_quantum.state.common.bell_state:14
#: paddle_quantum.state.common.completely_mixed_computational:8
#: paddle_quantum.state.common.computational_basis:10
#: paddle_quantum.state.common.ghz_state:7
#: paddle_quantum.state.common.isotropic_state:15
#: paddle_quantum.state.common.r_state:14
#: paddle_quantum.state.common.random_state:9
#: paddle_quantum.state.common.s_state:14
#: paddle_quantum.state.common.to_state:8 paddle_quantum.state.common.w_state:7
#: paddle_quantum.state.common.zero_state:9
msgid "The generated quantum state."
msgstr ""

#: of paddle_quantum.state.common.bell_diagonal_state
#: paddle_quantum.state.common.bell_state
#: paddle_quantum.state.common.completely_mixed_computational
#: paddle_quantum.state.common.computational_basis
#: paddle_quantum.state.common.ghz_state
#: paddle_quantum.state.common.isotropic_state
#: paddle_quantum.state.common.r_state paddle_quantum.state.common.random_state
#: paddle_quantum.state.common.s_state paddle_quantum.state.common.to_state
#: paddle_quantum.state.common.w_state paddle_quantum.state.common.zero_state
msgid "Return type"
msgstr ""

#: of paddle_quantum.state.common.zero_state:1
msgid "The function to generate a zero state."
msgstr ""

#: of paddle_quantum.state.common.bell_state:9
#: paddle_quantum.state.common.completely_mixed_computational:3
#: paddle_quantum.state.common.computational_basis:3
#: paddle_quantum.state.common.ghz_state:3
#: paddle_quantum.state.common.isotropic_state:9
#: paddle_quantum.state.common.random_state:3
#: paddle_quantum.state.common.w_state:3
#: paddle_quantum.state.common.zero_state:3
msgid "The number of qubits contained in the quantum state."
msgstr ""

#: of paddle_quantum.state.common.bell_diagonal_state
#: paddle_quantum.state.common.bell_state
#: paddle_quantum.state.common.completely_mixed_computational
#: paddle_quantum.state.common.computational_basis
#: paddle_quantum.state.common.ghz_state
#: paddle_quantum.state.common.isotropic_state
#: paddle_quantum.state.common.r_state paddle_quantum.state.common.random_state
#: paddle_quantum.state.common.s_state paddle_quantum.state.common.w_state
#: paddle_quantum.state.common.zero_state
msgid "Raises"
msgstr ""

#: of paddle_quantum.state.common.bell_diagonal_state:13
#: paddle_quantum.state.common.bell_state:12
#: paddle_quantum.state.common.completely_mixed_computational:6
#: paddle_quantum.state.common.computational_basis:8
#: paddle_quantum.state.common.ghz_state:5
#: paddle_quantum.state.common.isotropic_state:13
#: paddle_quantum.state.common.r_state:12
#: paddle_quantum.state.common.random_state:7
#: paddle_quantum.state.common.s_state:12 paddle_quantum.state.common.w_state:5
#: paddle_quantum.state.common.zero_state:7
msgid "If the backend is wrong or not implemented."
msgstr ""

#: of paddle_quantum.state.common.computational_basis:1
msgid ""
"Generate a computational basis state :math:`|e_{i}\\rangle` , whose i-th "
"element is 1 and all the other elements are 0."
msgstr ""

#: of paddle_quantum.state.common.computational_basis:4
msgid "Index :math:`i` of the computational basis state :math`|e_{i}rangle` ."
msgstr ""

#: of paddle_quantum.state.common.bell_state:1
msgid "Generate a bell state."
msgstr ""

#: of paddle_quantum.state.common.bell_diagonal_state:3
#: paddle_quantum.state.common.bell_state:3
#: paddle_quantum.state.common.isotropic_state:3
#: paddle_quantum.state.common.r_state:3 paddle_quantum.state.common.s_state:3
msgid "Its matrix form is:"
msgstr ""

#: of paddle_quantum.state.common.bell_state:5
msgid ""
"|\\Phi_{D}\\rangle=\\frac{1}{\\sqrt{D}} "
"\\sum_{j=0}^{D-1}|j\\rangle_{A}|j\\rangle_{B}"
msgstr ""

#: of paddle_quantum.state.common.bell_diagonal_state:1
msgid "Generate a bell diagonal state."
msgstr ""

#: of paddle_quantum.state.common.bell_diagonal_state:5
msgid ""
"p_{1}|\\Phi^{+}\\rangle\\langle\\Phi^{+}|+p_{2}| "
"\\Psi^{+}\\rangle\\langle\\Psi^{+}|+p_{3}| "
"\\Phi^{-}\\rangle\\langle\\Phi^{-}| +\n"
"p4|\\Psi^{-}\\rangle\\langle\\Psi^{-}|"
msgstr ""

#: of paddle_quantum.state.common.bell_diagonal_state:10
msgid "The prob of each bell state."
msgstr ""

#: of paddle_quantum.state.common.bell_diagonal_state:12
#: paddle_quantum.state.common.completely_mixed_computational:5
#: paddle_quantum.state.common.isotropic_state:12
#: paddle_quantum.state.common.r_state:11
#: paddle_quantum.state.common.s_state:11
msgid "The state should bu a pure state if the backend is state_vector."
msgstr ""

#: of paddle_quantum.state.common.random_state:1
msgid "Generate a random quantum state."
msgstr ""

#: of paddle_quantum.state.common.random_state:4
msgid "If the quantum state only contains the real number. Defaults to False."
msgstr ""

#: of paddle_quantum.state.common.random_state:5
msgid "The rank of the density matrix. Defaults to None which means full rank."
msgstr ""

#: of paddle_quantum.state.common.w_state:1
msgid "Generate a W-state."
msgstr ""

#: of paddle_quantum.state.common.ghz_state:1
msgid "Generate a GHZ-state."
msgstr ""

#: of paddle_quantum.state.common.completely_mixed_computational:1
msgid "Generate the density matrix of the completely mixed state."
msgstr ""

#: of paddle_quantum.state.common.r_state:1
msgid "Generate an R-state."
msgstr ""

#: of paddle_quantum.state.common.r_state:5
msgid "p|\\Psi^{+}\\rangle\\langle\\Psi^{+}| + (1 - p)|11\\rangle\\langle11|"
msgstr ""

#: of paddle_quantum.state.common.r_state:9
msgid ""
"The parameter of the R-state to be generated. It should be in "
":math:`[0,1]` ."
msgstr ""

#: of paddle_quantum.state.common.s_state:1
msgid "Generate the S-state."
msgstr ""

#: of paddle_quantum.state.common.s_state:5
msgid "p|\\Phi^{+}\\rangle\\langle\\Phi^{+}| + (1 - p)|00\\rangle\\langle00|"
msgstr ""

#: of paddle_quantum.state.common.s_state:9
msgid ""
"The parameter of the S-state to be generated. It should be in "
":math:`[0,1]` ."
msgstr ""

#: of paddle_quantum.state.common.isotropic_state:1
msgid "Generate the isotropic state."
msgstr ""

#: of paddle_quantum.state.common.isotropic_state:5
msgid ""
"p(\\frac{1}{\\sqrt{D}} \\sum_{j=0}^{D-1}|j\\rangle_{A}|j\\rangle_{B}) + "
"(1 - p)\\frac{I}{2^n}"
msgstr ""

#: of paddle_quantum.state.common.isotropic_state:10
msgid ""
"The parameter of the isotropic state to be generated. It should be in "
":math:`[0,1]` ."
msgstr ""