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#: ../../source/paddle_quantum.qinfo.rst:2
msgid "paddle\\_quantum.qinfo"
msgstr ""

#: of paddle_quantum.qinfo:1
msgid "The function for quantum information."
msgstr ""

#: of paddle_quantum.qinfo.partial_trace:1
msgid "Calculate the partial trace of the quantum state."
msgstr ""

#: of paddle_quantum.qinfo.gate_fidelity
#: paddle_quantum.qinfo.image_to_density_matrix paddle_quantum.qinfo.is_ppt
#: paddle_quantum.qinfo.logarithmic_negativity paddle_quantum.qinfo.negativity
#: paddle_quantum.qinfo.partial_trace
#: paddle_quantum.qinfo.partial_trace_discontiguous
#: paddle_quantum.qinfo.partial_transpose
#: paddle_quantum.qinfo.partial_transpose_2
#: paddle_quantum.qinfo.pauli_str_to_matrix paddle_quantum.qinfo.purity
#: paddle_quantum.qinfo.random_pauli_str_generator
#: paddle_quantum.qinfo.relative_entropy paddle_quantum.qinfo.schmidt_decompose
#: paddle_quantum.qinfo.shadow_trace paddle_quantum.qinfo.state_fidelity
#: paddle_quantum.qinfo.trace_distance paddle_quantum.qinfo.von_neumann_entropy
msgid "Parameters"
msgstr ""

#: of paddle_quantum.qinfo.partial_trace:3
#: paddle_quantum.qinfo.partial_trace_discontiguous:3
msgid "Input quantum state."
msgstr ""

#: of paddle_quantum.qinfo.partial_trace:4
msgid "The dimension of system A."
msgstr ""

#: of paddle_quantum.qinfo.partial_trace:5
msgid "The dimension of system B."
msgstr ""

#: of paddle_quantum.qinfo.partial_trace:6
msgid ""
"1 or 2. 1 means to calculate partial trace on system A; 2 means to "
"calculate partial trace on system B."
msgstr ""

#: of paddle_quantum.qinfo.gate_fidelity
#: paddle_quantum.qinfo.image_to_density_matrix paddle_quantum.qinfo.is_ppt
#: paddle_quantum.qinfo.logarithmic_negativity paddle_quantum.qinfo.negativity
#: paddle_quantum.qinfo.partial_trace
#: paddle_quantum.qinfo.partial_trace_discontiguous
#: paddle_quantum.qinfo.partial_transpose
#: paddle_quantum.qinfo.partial_transpose_2
#: paddle_quantum.qinfo.pauli_str_to_matrix paddle_quantum.qinfo.purity
#: paddle_quantum.qinfo.random_pauli_str_generator
#: paddle_quantum.qinfo.relative_entropy paddle_quantum.qinfo.schmidt_decompose
#: paddle_quantum.qinfo.shadow_trace paddle_quantum.qinfo.state_fidelity
#: paddle_quantum.qinfo.trace_distance paddle_quantum.qinfo.von_neumann_entropy
msgid "Returns"
msgstr ""

#: of paddle_quantum.qinfo.partial_trace:8
msgid "Partial trace of the input quantum state."
msgstr ""

#: of paddle_quantum.qinfo.gate_fidelity
#: paddle_quantum.qinfo.image_to_density_matrix paddle_quantum.qinfo.is_ppt
#: paddle_quantum.qinfo.logarithmic_negativity paddle_quantum.qinfo.negativity
#: paddle_quantum.qinfo.partial_trace
#: paddle_quantum.qinfo.partial_trace_discontiguous
#: paddle_quantum.qinfo.partial_transpose
#: paddle_quantum.qinfo.partial_transpose_2
#: paddle_quantum.qinfo.pauli_str_to_matrix paddle_quantum.qinfo.purity
#: paddle_quantum.qinfo.random_pauli_str_generator
#: paddle_quantum.qinfo.relative_entropy paddle_quantum.qinfo.schmidt_decompose
#: paddle_quantum.qinfo.shadow_trace paddle_quantum.qinfo.state_fidelity
#: paddle_quantum.qinfo.trace_distance paddle_quantum.qinfo.von_neumann_entropy
msgid "Return type"
msgstr ""

#: of paddle_quantum.qinfo.partial_trace_discontiguous:1
msgid ""
"Calculate the partial trace of the quantum state with arbitrarily "
"selected subsystem"
msgstr ""

#: of paddle_quantum.qinfo.partial_trace_discontiguous:4
msgid "Remaining qubits, default is None, indicate all qubits remain."
msgstr ""

#: of paddle_quantum.qinfo.partial_trace_discontiguous:6
msgid "Partial trace of the quantum state with arbitrarily selected subsystem."
msgstr ""

#: of paddle_quantum.qinfo.state_fidelity:1
#: paddle_quantum.qinfo.trace_distance:1
msgid "Calculate the fidelity of two quantum states."
msgstr ""

#: of paddle_quantum.qinfo.trace_distance:3
msgid "D(\\rho, \\sigma) = 1 / 2 * \\text{tr}|\\rho-\\sigma|"
msgstr ""

#: of paddle_quantum.qinfo.is_ppt:3
#: paddle_quantum.qinfo.logarithmic_negativity:3
#: paddle_quantum.qinfo.negativity:3 paddle_quantum.qinfo.partial_transpose:3
#: paddle_quantum.qinfo.partial_transpose_2:3 paddle_quantum.qinfo.purity:7
#: paddle_quantum.qinfo.relative_entropy:8
#: paddle_quantum.qinfo.relative_entropy:9
#: paddle_quantum.qinfo.state_fidelity:6 paddle_quantum.qinfo.state_fidelity:7
#: paddle_quantum.qinfo.trace_distance:7 paddle_quantum.qinfo.trace_distance:8
#: paddle_quantum.qinfo.von_neumann_entropy:7
msgid "Density matrix form of the quantum state."
msgstr ""

#: of paddle_quantum.qinfo.state_fidelity:9
#: paddle_quantum.qinfo.trace_distance:10
msgid "The fidelity between the input quantum states."
msgstr ""

#: of paddle_quantum.qinfo.state_fidelity:3
msgid ""
"F(\\rho, \\sigma) = \\text{tr}(\\sqrt{\\sqrt{\\rho}\\sigma\\sqrt{\\rho}})"
"\n"
"\n"
msgstr ""

#: of paddle_quantum.qinfo.gate_fidelity:1
msgid "calculate the fidelity between gates"
msgstr ""

#: of paddle_quantum.qinfo.gate_fidelity:3
msgid "F(U, V) = |\\text{tr}(UV^\\dagger)|/2^n"
msgstr ""

#: of paddle_quantum.qinfo.gate_fidelity:7
msgid ":math:`U` is a :math:`2^n\\times 2^n` unitary gate"
msgstr ""

#: of paddle_quantum.qinfo.gate_fidelity:9
msgid "quantum gate :math:`U`  in matrix form"
msgstr ""

#: of paddle_quantum.qinfo.gate_fidelity:10
msgid "quantum gate :math:`V`  in matrix form"
msgstr ""

#: of paddle_quantum.qinfo.gate_fidelity:12
msgid "fidelity between gates"
msgstr ""

#: of paddle_quantum.qinfo.purity:1
msgid "Calculate the purity of a quantum state."
msgstr ""

#: of paddle_quantum.qinfo.purity:3
msgid "P = \\text{tr}(\\rho^2)"
msgstr ""

#: of paddle_quantum.qinfo.purity:9
msgid "The purity of the input quantum state."
msgstr ""

#: of paddle_quantum.qinfo.von_neumann_entropy:1
msgid "Calculate the von Neumann entropy of a quantum state."
msgstr ""

#: of paddle_quantum.qinfo.von_neumann_entropy:3
msgid "S = -\\text{tr}(\\rho \\log(\\rho))"
msgstr ""

#: of paddle_quantum.qinfo.von_neumann_entropy:9
msgid "The von Neumann entropy of the input quantum state."
msgstr ""

#: of paddle_quantum.qinfo.relative_entropy:1
msgid "Calculate the relative entropy of two quantum states."
msgstr ""

#: of paddle_quantum.qinfo.relative_entropy:3
msgid "S(\\rho \\| \\sigma)=\\text{tr} \\rho(\\log \\rho-\\log \\sigma)"
msgstr ""

#: of paddle_quantum.qinfo.relative_entropy:11
msgid "Relative entropy between input quantum states."
msgstr ""

#: of paddle_quantum.qinfo.random_pauli_str_generator:1
msgid "Generate a random observable in list form."
msgstr ""

#: of paddle_quantum.qinfo.random_pauli_str_generator:3
msgid ""
"An observable :math:`O=0.3X\\otimes I\\otimes I+0.5Y\\otimes I\\otimes "
"Z`'s list form is ``[[0.3, 'x0'], [0.5, 'y0,z2']]``.  Such an observable "
"is generated by ``random_pauli_str_generator(3, terms=2)``"
msgstr ""

#: of paddle_quantum.qinfo.pauli_str_to_matrix:8
#: paddle_quantum.qinfo.random_pauli_str_generator:7
msgid "Number of qubits."
msgstr ""

#: of paddle_quantum.qinfo.random_pauli_str_generator:8
msgid "Number of terms in the observable. Defaults to 3."
msgstr ""

#: of paddle_quantum.qinfo.random_pauli_str_generator:10
msgid "The randomly generated observable’s list form."
msgstr ""

#: of paddle_quantum.qinfo.pauli_str_to_matrix:1
msgid "Convert the input list form of an observable to its matrix form."
msgstr ""

#: of paddle_quantum.qinfo.pauli_str_to_matrix:3
msgid ""
"For example, if the input ``pauli_str`` is ``[[0.7, 'z0,x1'], [0.2, "
"'z1']]`` and ``n=3``, then this function returns the observable "
":math:`0.7Z\\otimes X\\otimes I+0.2I\\otimes Z\\otimes I` in matrix form."
msgstr ""

#: of paddle_quantum.qinfo.pauli_str_to_matrix:7
msgid "A list form of an observable."
msgstr ""

#: of paddle_quantum.qinfo.pauli_str_to_matrix
msgid "Raises"
msgstr ""

#: of paddle_quantum.qinfo.pauli_str_to_matrix:10
msgid "Only Pauli operator \"I\" can be accepted without specifying its position."
msgstr ""

#: of paddle_quantum.qinfo.pauli_str_to_matrix:12
msgid "The matrix form of the input observable."
msgstr ""

#: of paddle_quantum.qinfo.partial_transpose:1
#: paddle_quantum.qinfo.partial_transpose_2:1
msgid ""
"Calculate the partial transpose :math:`\\rho^{T_A}` of the input quantum "
"state."
msgstr ""

#: of paddle_quantum.qinfo.partial_transpose_2:4
msgid ""
"1 or 2. 1 means to perform partial transpose on system A; 2 means to "
"perform partial trace on system B. Default is 2."
msgstr ""

#: of paddle_quantum.qinfo.partial_transpose:6
#: paddle_quantum.qinfo.partial_transpose_2:6
msgid "The partial transpose of the input quantum state."
msgstr ""

#: of paddle_quantum.qinfo.partial_transpose:4
msgid "Number of qubits of the system to be transposed."
msgstr ""

#: of paddle_quantum.qinfo.negativity:1
msgid ""
"Compute the Negativity :math:`N = ||\\frac{\\rho^{T_A}-1}{2}||` of the "
"input quantum state."
msgstr ""

#: of paddle_quantum.qinfo.negativity:5
msgid "The Negativity of the input quantum state."
msgstr ""

#: of paddle_quantum.qinfo.logarithmic_negativity:1
msgid ""
"Calculate the Logarithmic Negativity :math:`E_N = ||\\rho^{T_A}||` of the"
" input quantum state."
msgstr ""

#: of paddle_quantum.qinfo.logarithmic_negativity:5
msgid "The Logarithmic Negativity of the input quantum state."
msgstr ""

#: of paddle_quantum.qinfo.is_ppt:1
msgid "Check if the input quantum state is PPT."
msgstr ""

#: of paddle_quantum.qinfo.is_ppt:5
msgid "Whether the input quantum state is PPT."
msgstr ""

#: of paddle_quantum.qinfo.schmidt_decompose:1
msgid ""
"Calculate the Schmidt decomposition of a quantum state "
":math:`\\lvert\\psi\\rangle=\\sum_ic_i\\lvert i_A\\rangle\\otimes\\lvert "
"i_B \\rangle`."
msgstr ""

#: of paddle_quantum.qinfo.schmidt_decompose:3
msgid "State vector form of the quantum state, with shape（2**n）"
msgstr ""

#: of paddle_quantum.qinfo.schmidt_decompose:4
msgid ""
"Qubit indices to be included in subsystem A (other qubits are included in"
" subsystem B), default are the first half qubits of :math:`\\lvert "
"\\psi\\rangle`"
msgstr ""

#: of paddle_quantum.qinfo.schmidt_decompose:6
msgid ""
"contains elements  * A one dimensional array composed of Schmidt "
"coefficients, with shape ``(k)`` * A high dimensional array composed of "
"bases for subsystem A :math:`\\lvert i_A\\rangle`, with shape ``(k, 2**m,"
" 1)`` * A high dimensional array composed of bases for subsystem B "
":math:`\\lvert i_B\\rangle` , with shape ``(k, 2**m, 1)``"
msgstr ""

#: of paddle_quantum.qinfo.schmidt_decompose:6
msgid "contains elements"
msgstr ""

#: of paddle_quantum.qinfo.schmidt_decompose:8
msgid ""
"A one dimensional array composed of Schmidt coefficients, with shape "
"``(k)``"
msgstr ""

#: of paddle_quantum.qinfo.schmidt_decompose:9
msgid ""
"A high dimensional array composed of bases for subsystem A :math:`\\lvert"
" i_A\\rangle`, with shape ``(k, 2**m, 1)``"
msgstr ""

#: of paddle_quantum.qinfo.schmidt_decompose:10
msgid ""
"A high dimensional array composed of bases for subsystem B :math:`\\lvert"
" i_B\\rangle` , with shape ``(k, 2**m, 1)``"
msgstr ""

#: of paddle_quantum.qinfo.image_to_density_matrix:1
msgid "Encode image to density matrix"
msgstr ""

#: of paddle_quantum.qinfo.image_to_density_matrix:3
msgid "Path to the image file."
msgstr ""

#: of paddle_quantum.qinfo.image_to_density_matrix:5
msgid "The density matrix obtained by encoding"
msgstr ""

#: of paddle_quantum.qinfo.shadow_trace:1
msgid ""
"Estimate the expectation value :math:`\\text{trace}(H\\rho)`  of an "
"observable :math:`H`."
msgstr ""

#: of paddle_quantum.qinfo.shadow_trace:3
msgid "Quantum state."
msgstr ""

#: of paddle_quantum.qinfo.shadow_trace:4
msgid "Observable."
msgstr ""

#: of paddle_quantum.qinfo.shadow_trace:5
msgid "Number of samples."
msgstr ""

#: of paddle_quantum.qinfo.shadow_trace:6
msgid ""
"Method used to , which should be one of “CS”, “LBCS”, and “APS”. Default "
"is “CS”."
msgstr ""

#: of paddle_quantum.qinfo.shadow_trace:8
msgid "The estimated expectation value for the hamiltonian."
msgstr ""