diff --git a/tutorials/algorithms/01_algorithms_introduction.ipynb b/tutorials/algorithms/01_algorithms_introduction.ipynb index 808ccda3a..fbe64f29f 100644 --- a/tutorials/algorithms/01_algorithms_introduction.ipynb +++ b/tutorials/algorithms/01_algorithms_introduction.ipynb @@ -52,19 +52,9 @@ "outputs": [ { "data": { - "text/html": [ - "
     ┌──────────┐   ┌──────────┐   ┌──────────┐   ┌──────────┐\n",
-       "q_0: ┤ RY(θ[0]) ├─■─┤ RY(θ[2]) ├─■─┤ RY(θ[4]) ├─■─┤ RY(θ[6]) ├\n",
-       "     ├──────────┤ │ ├──────────┤ │ ├──────────┤ │ ├──────────┤\n",
-       "q_1: ┤ RY(θ[1]) ├─■─┤ RY(θ[3]) ├─■─┤ RY(θ[5]) ├─■─┤ RY(θ[7]) ├\n",
-       "     └──────────┘   └──────────┘   └──────────┘   └──────────┘
" - ], + "image/png": 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\n", "text/plain": [ - " ┌──────────┐ ┌──────────┐ ┌──────────┐ ┌──────────┐\n", - "q_0: ┤ RY(θ[0]) ├─■─┤ RY(θ[2]) ├─■─┤ RY(θ[4]) ├─■─┤ RY(θ[6]) ├\n", - " ├──────────┤ │ ├──────────┤ │ ├──────────┤ │ ├──────────┤\n", - "q_1: ┤ RY(θ[1]) ├─■─┤ RY(θ[3]) ├─■─┤ RY(θ[5]) ├─■─┤ RY(θ[7]) ├\n", - " └──────────┘ └──────────┘ └──────────┘ └──────────┘" + "
" ] }, "execution_count": 2, @@ -128,7 +118,7 @@ "source": [ "Note: if you provide the backend directly then internally a QuantumInstance will be created from it, with default settings, so at all times the algorithms are working through a QuantumInstance.\n", "\n", - "So now we would be able to call the [run()](https://qiskit.org/documentation/stubs/qiskit.aqua.algorithms.VQE.run.html) method, which is common to all algorithms and returns a result specific for the algorithm. In this case since VQE is a MinimumEigensolver we could use the [compute_mininum_eigenvalue()](https://qiskit.org/documentation/stubs/qiskit.aqua.algorithms.VQE.compute_minimum_eigenvalue.html) method. The latter is the interface of choice for the application modules, such as Chemistry and Optimization, in order that they can work interchangeably with any algorithm within the specific category." + "So now we would be able to call the [run()](https://qiskit.org/documentation/stubs/qiskit.aqua.algorithms.VQE.html#qiskit.aqua.algorithms.VQE.run) method, which is common to all algorithms and returns a result specific for the algorithm. In this case since VQE is a MinimumEigensolver we could use the [compute_mininum_eigenvalue()](https://qiskit.org/documentation/stubs/qiskit.aqua.algorithms.VQE.html#qiskit.aqua.algorithms.VQE.compute_minimum_eigenvalue) method. The latter is the interface of choice for the application modules, such as Chemistry and Optimization, in order that they can work interchangeably with any algorithm within the specific category." ] }, { @@ -184,16 +174,16 @@ " 'optimal_parameters': { Parameter(θ[0]): 4.296520551468743,\n", " Parameter(θ[1]): 4.426962086704216,\n", " Parameter(θ[2]): 0.5470753710293924,\n", - " Parameter(θ[3]): 6.09294789784282,\n", - " Parameter(θ[4]): -2.598325857134344,\n", - " Parameter(θ[5]): 1.5683261371389359,\n", + " Parameter(θ[7]): 0.3602072316165878,\n", " Parameter(θ[6]): -4.717618235040379,\n", - " Parameter(θ[7]): 0.3602072316165878},\n", + " Parameter(θ[5]): 1.5683261371389359,\n", + " Parameter(θ[3]): 6.09294789784282,\n", + " Parameter(θ[4]): -2.598325857134344},\n", " 'optimal_point': array([ 4.29652055, 4.42696209, 0.54707537, 6.0929479 , -2.59832586,\n", " 1.56832614, -4.71761824, 0.36020723]),\n", " 'optimal_value': -1.857275017559769,\n", " 'optimizer_evals': 72,\n", - " 'optimizer_time': 2.040440559387207}\n" + " 'optimizer_time': 1.310880184173584}\n" ] } ], @@ -242,19 +232,19 @@ " 'eigenstate': array([-9.55448660e-05+2.12037105e-17j, 9.93766273e-01+2.25293943e-16j,\n", " -1.11483565e-01+1.52657541e-16j, -1.77521351e-05+3.71607315e-17j]),\n", " 'eigenvalue': (-1.857275017559769+0j),\n", - " 'optimal_parameters': { Parameter(θ[2]): 0.5470753710293924,\n", - " Parameter(θ[7]): 0.3602072316165878,\n", - " Parameter(θ[6]): -4.717618235040379,\n", - " Parameter(θ[3]): 6.09294789784282,\n", + " 'optimal_parameters': { Parameter(θ[4]): -2.598325857134344,\n", " Parameter(θ[5]): 1.5683261371389359,\n", - " Parameter(θ[0]): 4.296520551468743,\n", + " Parameter(θ[6]): -4.717618235040379,\n", + " Parameter(θ[7]): 0.3602072316165878,\n", " Parameter(θ[1]): 4.426962086704216,\n", - " Parameter(θ[4]): -2.598325857134344},\n", + " Parameter(θ[0]): 4.296520551468743,\n", + " Parameter(θ[2]): 0.5470753710293924,\n", + " Parameter(θ[3]): 6.09294789784282},\n", " 'optimal_point': array([ 4.29652055, 4.42696209, 0.54707537, 6.0929479 , -2.59832586,\n", " 1.56832614, -4.71761824, 0.36020723]),\n", " 'optimal_value': -1.857275017559769,\n", " 'optimizer_evals': 72,\n", - " 'optimizer_time': 1.5368030071258545}\n" + " 'optimizer_time': 2.8010470867156982}\n" ] } ], @@ -294,8 +284,8 @@ { "data": { "text/html": [ - "

Version Information

Qiskit SoftwareVersion
Qiskit0.23.1
Terra0.16.1
Aer0.7.1
Ignis0.5.1
Aqua0.8.1
IBM Q Provider0.11.1
System information
Python3.6.1 |Continuum Analytics, Inc.| (default, May 11 2017, 13:09:58) \n", - "[GCC 4.4.7 20120313 (Red Hat 4.4.7-1)]
OSLinux
CPUs1
Memory (Gb)5.827335357666016
Tue Nov 17 08:50:18 2020 EST
" + "

Version Information

Qiskit SoftwareVersion
Qiskit0.23.1
Terra0.16.1
Aer0.7.1
Ignis0.5.1
Aqua0.8.1
IBM Q Provider0.11.1
System information
Python3.7.8 | packaged by conda-forge | (default, Jul 31 2020, 02:25:08) \n", + "[GCC 7.5.0]
OSLinux
CPUs8
Memory (Gb)31.40900421142578
Fri Jan 15 12:11:24 2021 UTC
" ], "text/plain": [ "" @@ -307,7 +297,7 @@ { "data": { "text/html": [ - "

This code is a part of Qiskit

© Copyright IBM 2017, 2020.

This code is licensed under the Apache License, Version 2.0. You may
obtain a copy of this license in the LICENSE.txt file in the root directory
of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.

Any modifications or derivative works of this code must retain this
copyright notice, and modified files need to carry a notice indicating
that they have been altered from the originals.

" + "

This code is a part of Qiskit

© Copyright IBM 2017, 2021.

This code is licensed under the Apache License, Version 2.0. You may
obtain a copy of this license in the LICENSE.txt file in the root directory
of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.

Any modifications or derivative works of this code must retain this
copyright notice, and modified files need to carry a notice indicating
that they have been altered from the originals.

" ], "text/plain": [ "" @@ -347,7 +337,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.1" + "version": "3.7.8" } }, "nbformat": 4,