From 21bfa2981b58d29570ff60ee40d65f1ba4ae2a9e Mon Sep 17 00:00:00 2001 From: Quleaf Date: Mon, 14 Sep 2020 20:38:08 +0800 Subject: [PATCH] slight update --- README.md | 2 +- docs/source/introduction.rst | 2 +- introduction/PaddleQuantum_Tutorial_CN.ipynb | 100 +++++++++--------- introduction/PaddleQuantum_Tutorial_CN.pdf | Bin 1949320 -> 1947384 bytes paddle_quantum/SSVQE/Paddle_SSVQE.py | 4 +- paddle_quantum/VQSD/Paddle_VQSD.py | 4 +- paddle_quantum/circuit.py | 4 +- paddle_quantum/utils.py | 8 +- .../Barren/BarrenPlateaus_Tutorial_CN.ipynb | 28 ++--- .../Barren/BarrenPlateaus_Tutorial_CN.pdf | Bin 5006863 -> 5006834 bytes tutorial/GPU/GPU_Tutorial_CN.ipynb | 7 +- tutorial/GPU/GPU_Tutorial_CN.pdf | Bin 149174 -> 148561 bytes tutorial/Gibbs/GIBBS_Tutorial_CN.ipynb | 4 +- tutorial/Gibbs/GIBBS_Tutorial_CN.pdf | Bin 401531 -> 401489 bytes .../Quantum_Autoencoder_Tutorial_CN.ipynb | 6 +- .../Quantum_Autoencoder_Tutorial_CN.pdf | Bin 479778 -> 479774 bytes .../Quantum_Classifier_Tutorial_CN.ipynb | 2 +- tutorial/Q-GAN/QGAN_Tutorial_CN.ipynb | 8 +- tutorial/Q-GAN/QGAN_Tutorial_CN.pdf | Bin 606542 -> 606499 bytes tutorial/QAOA/QAOA.ipynb | 2 +- tutorial/QAOA/QAOA_En.ipynb | 2 +- tutorial/SSVQE/SSVQE_Tutorial_CN.ipynb | 34 +++--- tutorial/SSVQE/SSVQE_Tutorial_CN.pdf | Bin 214931 -> 214936 bytes tutorial/VQE/VQE_Tutorial_CN.ipynb | 62 +++++------ tutorial/VQE/VQE_Tutorial_CN.pdf | Bin 543786 -> 543757 bytes tutorial/VQSD/VQSD_Tutorial_CN.ipynb | 6 +- tutorial/VQSD/VQSD_Tutorial_CN.pdf | Bin 176201 -> 176194 bytes tutorial/VQSVD/VQSVD_Tutorial_CN.ipynb | 34 +++--- tutorial/VQSVD/VQSVD_Tutorial_CN.pdf | Bin 502145 -> 502110 bytes 29 files changed, 154 insertions(+), 165 deletions(-) diff --git a/README.md b/README.md index cc144f0..d20c6b4 100644 --- a/README.md +++ b/README.md @@ -29,7 +29,7 @@ Paddle Quantum(量桨)是基于百度飞桨开发的量子机器学习工具 - 易用性 - 高效搭建量子神经网络 - 多种量子神经网络模板 - - 丰富量子算法教程(10+用例) + - 丰富的量子算法教程(10+用例) - 可拓展性 - 支持通用量子电路模型 - 高性能模拟器支持20多个量子比特的模拟运算 diff --git a/docs/source/introduction.rst b/docs/source/introduction.rst index 39aafaa..1b95441 100644 --- a/docs/source/introduction.rst +++ b/docs/source/introduction.rst @@ -21,7 +21,7 @@ Paddle Quantum (量桨) - 高效搭建量子神经网络 - 多种量子神经网络模板 - - 丰富量子算法教程(10+用例) + - 丰富的量子算法教程(10+用例) - 可拓展性 diff --git a/introduction/PaddleQuantum_Tutorial_CN.ipynb b/introduction/PaddleQuantum_Tutorial_CN.ipynb index a84cfa2..dba1df2 100644 --- a/introduction/PaddleQuantum_Tutorial_CN.ipynb +++ b/introduction/PaddleQuantum_Tutorial_CN.ipynb @@ -137,7 +137,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 2, "metadata": { "colab": {}, "colab_type": "code", @@ -171,7 +171,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -179,7 +179,7 @@ "from paddle import fluid\n", "from paddle.complex import matmul, transpose, trace\n", "from paddle_quantum.circuit import UAnsatz\n", - "from paddle_quantum.utils import hermitian, random_pauli_str_generator, pauli_str_to_matrix\n", + "from paddle_quantum.utils import dagger, random_pauli_str_generator, pauli_str_to_matrix\n", "from paddle_quantum.state import vec, vec_random, density_op, density_op_random" ] }, @@ -210,7 +210,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "量子计算 (Quantum Computing QC )是利用量子物理中特有的现象 (量子叠加态,量子纠缠)来设计相应的量子算法以解决 (物理、化学、计算机等领域)特定的任务。现有的量子计算有好几种模型,比如有基于绝热定理的绝热计算模型以及基于测量的MBQC模型等等。在本手册中,我们主要讨论目前影响力最大、使用最广泛的量子电路(Quantum circuit)模型。在量子电路的框架下,运算最基本的组成单元是量子比特 (qubit)。这与经典计算机中比特 (bit) 的概念很相似。经典比特只能处于0和1两种状态中的某一种 (物理图景上可以对应高低电位)。与之不同的是,量子比特不仅可以处于两个状态$\\lvert {0}\\rangle$ 还有 $\\lvert {1}\\rangle$还可以处于两者的叠加态 (稍后我们来具体讲解下这一概念)。而所谓的量子计算,就是利用量子逻辑门操控这些量子比特。逻辑门运算的基本理论是线性代数,在此我们假定读者已经具备一定的线性代数基础。" + "量子计算 (Quantum Computing QC )是利用量子物理中特有的现象 (量子叠加态,量子纠缠)来设计相应的量子算法以解决 (物理、化学、计算机等领域)特定的任务。现有的量子计算有好几种模型,比如有基于绝热定理的绝热计算模型以及基于测量的MBQC模型等等。在本手册中,我们主要讨论目前影响力最大、使用最广泛的量子电路(Quantum circuit)模型。在量子电路的框架下,运算最基本的组成单元是量子比特 (qubit)。这与经典计算机中比特 (bit) 的概念很相似。经典比特只能处于0和1两种状态中的某一种 (物理图景上可以对应高低电位)。与之不同的是,量子比特不仅可以处于两个状态$\\lvert {0}\\rangle$ 还有 $\\lvert {1}\\rangle$还可以处于两者的叠加态 (稍后我们来具体讲解下这一概念)。而常见的量子计算模型,就是利用量子逻辑门操控这些量子比特。逻辑门运算的基本理论是线性代数,在此我们假定读者已经具备一定的线性代数基础。" ] }, { @@ -325,7 +325,7 @@ "source": [ "### 什么是量子逻辑门?\n", "\n", - "在经典计算机中,我们可以在经典比特上施加基本的逻辑运算( 非门 NOT, 与非门 NAND, 异或门 XOR, 与门 AND, 或门 OR)并组合成更复杂的运算。而量子计算则有完全不同的一套逻辑运算,它们被称为量子门 (quantum gate)。我们并不能在一个量子计算机上编译现有的C++程序。因为**经典计算机和量子计算机有不同的逻辑门构造,所谓的量子算法是需要利用这些量子门的特殊性来构造的**。\n", + "在经典计算机中,我们可以在经典比特上施加基本的逻辑运算( 非门 NOT, 与非门 NAND, 异或门 XOR, 与门 AND, 或门 OR)并组合成更复杂的运算。而量子计算则有完全不同的一套逻辑运算,它们被称为量子门 (quantum gate)。我们并不能在一个量子计算机上编译现有的C++程序。因为**经典计算机和量子计算机有不同的逻辑门构造,所以量子算法是需要利用这些量子门的特殊性来构造的**。\n", "\n", "量子门在数学上可以被表示成酉矩阵 (unitary matrix)。酉矩阵操作可以保证向量的长度不变,这是个很好的性质。不然我们对一个纯态量子比特进行操作,会让它劣化成混合态导致其无法接着使用。那么什么是酉矩阵呢?\n", "\n", @@ -535,7 +535,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 4, "metadata": {}, "outputs": [ { @@ -599,7 +599,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ @@ -654,7 +654,7 @@ "source": [ "### 示例: 如何创建量子神经网络 QNN?\n", "\n", - "所谓的QNN就是通常可以表示为一些单比特量子旋转门和双比特门的组合。其中一个可以高效利用硬件的架构是只包含 $\\{R_x, R_y, R_z, \\text{CNOT} \\}$这四种量子门的模板。它们很容易在NISQ设备(通常是超导量子比特)上实现,因为CNOT只需要实施在相邻量子比特上。一个例子可见下图:\n" + "QNN通常可以表示为一些单比特量子旋转门和双比特门的组合。其中一个可以高效利用硬件的架构是只包含 $\\{R_x, R_y, R_z, \\text{CNOT} \\}$这四种量子门的模板。它们很容易在NISQ设备(通常是超导量子比特)上实现,因为CNOT只需要实施在相邻量子比特上。一个例子可见下图:\n" ] }, { @@ -673,7 +673,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 5, "metadata": {}, "outputs": [ { @@ -742,7 +742,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 6, "metadata": {}, "outputs": [], "source": [ @@ -797,7 +797,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 7, "metadata": {}, "outputs": [ { @@ -835,7 +835,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 8, "metadata": {}, "outputs": [ { @@ -914,14 +914,14 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 9, "metadata": { "scrolled": true }, "outputs": [ { "data": { - "image/png": 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\n", 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"text/plain": [ "
" ] @@ -988,15 +988,15 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "[[ 0.00042441+0.j 0.00029816+0.j 0.00019942+0.j ... 0.00039183+0.j\n", - " -0.00052556+0.j 0.00061023+0.j]]\n" + "[[ 1.36742103e-03+0.j -1.15621578e-03+0.j 1.59433644e-03+0.j ...\n", + " 2.36662139e-04+0.j -2.47895067e-05+0.j -9.47071583e-04+0.j]]\n" ] } ], @@ -1046,17 +1046,17 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "[[ 0.11259972+0.j -0.28258005+0.j 0.03785432+0.j -0.13651589+0.j]\n", - " [-0.28258005+0.j 0.70916239+0.j -0.09499913+0.j 0.34260002+0.j]\n", - " [ 0.03785432+0.j -0.09499913+0.j 0.01272605+0.j -0.04589457+0.j]\n", - " [-0.13651589+0.j 0.34260002+0.j -0.04589457+0.j 0.16551185+0.j]]\n" + "[[0.62679516+0.j 0.38101066+0.j 0.13601748+0.j 0.26505304+0.j]\n", + " [0.38101066+0.j 0.23160536+0.j 0.08268109+0.j 0.16111808+0.j]\n", + " [0.13601748+0.j 0.08268109+0.j 0.02951643+0.j 0.05751775+0.j]\n", + " [0.26505304+0.j 0.16111808+0.j 0.05751775+0.j 0.11208305+0.j]]\n" ] } ], @@ -1102,7 +1102,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 12, "metadata": {}, "outputs": [], "source": [ @@ -1140,12 +1140,12 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 13, "metadata": {}, "outputs": [ { "data": { - "image/png": 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"text/plain": [ "
" ] @@ -1223,7 +1223,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 14, "metadata": {}, "outputs": [ { @@ -1338,7 +1338,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 15, "metadata": {}, "outputs": [ { @@ -1346,8 +1346,8 @@ "output_type": "stream", "text": [ "随机生成的矩阵 H 是:\n", - "[[ 0.73879472-2.77555756e-17j -0.12692858+1.29870005e-01j]\n", - " [-0.12692858-1.29870005e-01j 0.26120528+0.00000000e+00j]] \n", + "[[ 0.55386934+2.77555756e-17j -0.282673 -8.48178487e-02j]\n", + " [-0.282673 +8.48178487e-02j 0.44613066+0.00000000e+00j]] \n", "\n", "不出所料,H 的特征值是:\n", "[0.2 0.8]\n" @@ -1377,7 +1377,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 16, "metadata": {}, "outputs": [], "source": [ @@ -1404,7 +1404,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 17, "metadata": {}, "outputs": [], "source": [ @@ -1425,7 +1425,7 @@ " U = U_theta(self.theta)\n", " \n", " # 埃尔米特转置运算\n", - " U_dagger = hermitian(U)\n", + " U_dagger = dagger(U)\n", " \n", " # 计算损失函数函数\n", " loss = matmul(U_dagger, matmul(self.H, U)).real[0][0]\n", @@ -1435,24 +1435,24 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "iter: 0 loss: 0.7911\n", - "iter: 1 loss: 0.5878\n", - "iter: 2 loss: 0.2913\n", - "iter: 3 loss: 0.2244\n", - "iter: 4 loss: 0.2142\n", - "iter: 5 loss: 0.2071\n", - "iter: 6 loss: 0.2031\n", - "iter: 7 loss: 0.2013\n", - "iter: 8 loss: 0.2005\n", - "iter: 9 loss: 0.2002\n", - "损失函数的最小值是: 0.20019311438922205\n" + "iter: 0 loss: 0.5581\n", + "iter: 1 loss: 0.3127\n", + "iter: 2 loss: 0.2455\n", + "iter: 3 loss: 0.2072\n", + "iter: 4 loss: 0.2010\n", + "iter: 5 loss: 0.2002\n", + "iter: 6 loss: 0.2000\n", + "iter: 7 loss: 0.2000\n", + "iter: 8 loss: 0.2000\n", + "iter: 9 loss: 0.2000\n", + "损失函数的最小值是: 0.20000008859899268\n" ] } ], @@ -1521,7 +1521,7 @@ "source": [ "### 变分量子特征求解器 (VQE) -- 无监督学习\n", "\n", - "正如大名鼎鼎的John Preskill 所言,目前阶段理想的可容错的量子计算机还是遥遥无期。我们目前只能造出有噪音的,中等规模量子计算系统(NISQ)。现在一个利用 NISQ 的量子设备很有希望的算法种类就是量子-经典混合算法。人们期望这套方法也许可以在某些应用中超越经典计算机的表现。变分量子特征求解器(VQE)就是里面的一个杰出代表。它利用参数化的电路搜寻广阔的希尔伯特空间,并利用经典机器学习中的梯度下降来找到最优参数,并接近一个哈密顿量的基态(也就是找到一个埃尔米特矩阵的最小特征值)。这个电路其实你之前见过。为了确保你能理解, 我们来一起过一遍以下两量子比特 (2-qubit)的例子。\n", + "目前阶段,大规模的可容错的量子计算机还未实现。我们目前只能造出有噪音的,中等规模量子计算系统(NISQ)。现在一个利用 NISQ 的量子设备很有前景的算法种类就是量子-经典混合算法。人们期望这套方法也许可以在某些应用中超越经典计算机的表现。变分量子特征求解器(VQE)就是里面的一个重要应用。它利用参数化的电路搜寻广阔的希尔伯特空间,并利用经典机器学习中的梯度下降来找到最优参数,并接近一个哈密顿量的基态(也就是找到一个埃尔米特矩阵的最小特征值)。为了确保你能理解, 我们来一起过一遍以下两量子比特 (2-qubit)的例子。\n", "\n", "假设我们想找到如下哈密顿量的基态:\n", "\n", @@ -1541,12 +1541,12 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "我们已经学会如何建造这个电路了。如果你忘了, 请转到 这里。 有关VQE的更多信息, 请参见 [[博客]](https://www.mustythoughts.com/post/variational-quantum-eigensolver-explained)" + "我们已经学会如何建造这个电路了。如果你忘了, 请转到 这里。" ] }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 19, "metadata": {}, "outputs": [], "source": [ @@ -1570,7 +1570,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 20, "metadata": {}, "outputs": [], "source": [ @@ -1609,7 +1609,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 21, "metadata": { "colab": { "base_uri": "https://localhost:8080/", @@ -1728,7 +1728,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.9" + "version": "3.6.10" } }, "nbformat": 4, diff --git a/introduction/PaddleQuantum_Tutorial_CN.pdf b/introduction/PaddleQuantum_Tutorial_CN.pdf index 35cf2fd51e3c0d5b1bc57be79d26f6a015fc888b..2f9314e7239de496fb449d367dc7f75b58afcd82 100644 GIT binary patch delta 530312 zcmZsBRZJZW&?Q{lxwvz2cXxLvQrz9$i(TB^-Cc@%aW4*~I23nx-|tU$H`!$0Cgbxk zCz;8K{P29f@N6)KBa&bPv9WSk;pzW)(H|B37%Hr9;!8*I$x1UL*#;Q!jhXeo(0QGk0)Gj3j zU<4qrL_EB@e9*lmWcbJc#0XmX>@QGUnvMD#+e9v!jPwLkA|vF!UU#=1!)>|+TjyPV`f+%nHE}_dVBu_#4gP* 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+441,13 @@ " target = np.random.choice(3, N) \n", " \n", " U = rand_circuit(theta, target, N)\n", - " U_dagger = hermitian(U) \n", + " U_dagger = dagger(U) \n", "\n", " U_plus = rand_circuit(theta_plus, target, N)\n", - " U_plus_dagger = hermitian(U_plus) \n", + " U_plus_dagger = dagger(U_plus) \n", "\n", " U_minus = rand_circuit(theta_minus, target, N)\n", - " U_minus_dagger = hermitian(U_minus) \n", + " U_minus_dagger = dagger(U_minus) \n", "\n", " # 计算解析梯度\n", " grad = ( matmul(matmul(U_plus_dagger, self.H), \n", @@ -484,7 +484,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 6, "metadata": { "scrolled": true }, @@ -498,7 +498,7 @@ }, { "data": { - "image/png": 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\n", + "image/png": 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zJ%Atxgn`IHBpms_FrwN90s{vTH7+O=4d@_BCm;s~{nuzLp_Bg>BqkED80acQ#sH%M zdOXK46at1s6Q=|XK@gD;NGAdXIUarh!vb|eydfF^MjmH1K?#bewh8<|!v9zcN28A$ zO;8MU{$q|1FreT8j1d3-&NBoI@~0paPGmJ21Oghv@eP5A1|s4SjDR7Ir<0%<^>3mR z^b5|b6si^PIZ#|Hud1cCqb4op(qHad;1P&*P41ghtNl3tsZTQ!@2t;fk(8>M>7m#QyF*6CdBWgZ`e4@a| z>-aYYCBlHAjV78AfODuns|gtHf1d-e{|Y})WJKfw76Y|-JS6~z{F5{P8ma#|9THsr zV=el4RI$I0k!YfB23QT`e;R5RHHkIf4cO^Yd>4|8xE$5RUl30ALUZgeb=V27~{(Aq@FP zlLA^bkt0CEgc2R%vA|FS4vNI(1a#IvtOn%%AR!zDX6iloFs-gNgG=ND`8WT)^QT3L1=652ABnmRz#hxJmxYx p 注意,本篇教程具有时效性。同时不同电脑也会有个体差异性,本篇教程不保证所有电脑可以安装成功。\n", "\n", - "众所周知,在深度学习中,大家都会选择使用 GPU 来进行神经网络模型的训练,因为与 CPU 相比,GPU在浮点数运算方面有着显著的优势。因此,使用 GPU 来训练神经网络模型逐渐成为共同的选择。在 Paddle Quantum 中,我们的量子态和量子门也采用基于浮点数的复数表示,因此我们的模型如果能部署到 GPU 上进行训练,也会显著提升训练速度。\n", + "在深度学习中,大家通常会使用 GPU 来进行神经网络模型的训练,因为与 CPU 相比,GPU在浮点数运算方面有着显著的优势。因此,使用 GPU 来训练神经网络模型逐渐成为共同的选择。在 Paddle Quantum 中,我们的量子态和量子门也采用基于浮点数的复数表示,因此我们的模型如果能部署到 GPU 上进行训练,也会显著提升训练速度。\n", "\n", "## 2. GPU 选择\n", "\n", - "在这里,我们推荐选择 Nvidia 的硬件设备,其 CUDA(Compute Unified Device Architecture) 对深度学习的框架支持更好。我们的 PaddlePaddle 也可以比较方便地安装在 CUDA 上。\n", + "在这里,我们使用 Nvidia 的硬件设备,其 CUDA(Compute Unified Device Architecture) 对深度学习的框架支持比较好。我们的 PaddlePaddle 也可以比较方便地安装在 CUDA 上。\n", "\n", "## 3. 配置 CUDA 环境\n", "\n", @@ -128,7 +128,6 @@ "from paddle import fluid\n", "from paddle.complex import matmul, transpose\n", "from paddle_quantum.circuit import UAnsatz\n", - "from paddle_quantum.utils import hermitian\n", "import matplotlib.pyplot as plt\n", "import numpy\n", "from paddle_quantum.VQE.chemistrysub import H2_generator\n", @@ -338,7 +337,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.3" + "version": "3.7.7" } }, "nbformat": 4, diff --git a/tutorial/GPU/GPU_Tutorial_CN.pdf b/tutorial/GPU/GPU_Tutorial_CN.pdf index a42e51adaf45246f084fa009f2f44da43c30e5db..0b8f4f0ae90521b1ffd3fe8cb0cd8bfd70602a28 100644 GIT binary patch delta 82458 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diff --git a/tutorial/Gibbs/GIBBS_Tutorial_CN.ipynb b/tutorial/Gibbs/GIBBS_Tutorial_CN.ipynb index df717fd..455e994 100644 --- a/tutorial/Gibbs/GIBBS_Tutorial_CN.ipynb +++ b/tutorial/Gibbs/GIBBS_Tutorial_CN.ipynb @@ -40,7 +40,7 @@ "from paddle.complex import matmul, trace\n", "from paddle_quantum.circuit import UAnsatz\n", "from paddle_quantum.state import density_op\n", - "from paddle_quantum.utils import state_fidelity, partial_trace, hermitian, pauli_str_to_matrix" + "from paddle_quantum.utils import state_fidelity, partial_trace, pauli_str_to_matrix" ] }, { @@ -385,7 +385,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.9" + "version": "3.7.7" } }, "nbformat": 4, diff --git a/tutorial/Gibbs/GIBBS_Tutorial_CN.pdf b/tutorial/Gibbs/GIBBS_Tutorial_CN.pdf index 58bf3b661a9f873ff0107987f6957a9062f03f6d..9b2f3bd4030f3b384eee80621cd7bbbf071dd98a 100644 GIT binary patch delta 91779 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"from paddle_quantum.utils import partial_trace, hermitian, state_fidelity\n", + "from paddle_quantum.utils import partial_trace, dagger, state_fidelity\n", "from paddle import complex\n", "from progressbar import *" ] @@ -228,7 +228,7 @@ " \"\"\"\n", " state = self.target_state\n", " state = complex.reshape(state, [1] + state.shape)\n", - " density_matrix = complex.matmul(hermitian(state), state)\n", + " density_matrix = complex.matmul(dagger(state), state)\n", " state = partial_trace(density_matrix, 2, 4, 2)\n", "\n", " return state.numpy()\n", @@ -239,7 +239,7 @@ " \"\"\"\n", " state = self.generator(self.gen_theta).run_state_vector()\n", " state = complex.reshape(state, [1] + state.shape)\n", - " density_matrix = complex.matmul(hermitian(state), state)\n", + " density_matrix = complex.matmul(dagger(state), state)\n", " state = partial_trace(density_matrix, 2, 4, 2)\n", "\n", " return state.numpy()" @@ -482,7 +482,7 @@ "name": "python", "nbconvert_exporter": "python", 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+ "version": "3.7.7" }, "pycharm": { "stem_cell": { diff --git a/tutorial/QAOA/QAOA_En.ipynb b/tutorial/QAOA/QAOA_En.ipynb index e16c188..4400d62 100644 --- a/tutorial/QAOA/QAOA_En.ipynb +++ b/tutorial/QAOA/QAOA_En.ipynb @@ -820,7 +820,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.10" + "version": "3.7.7" }, "pycharm": { "stem_cell": { diff --git a/tutorial/SSVQE/SSVQE_Tutorial_CN.ipynb b/tutorial/SSVQE/SSVQE_Tutorial_CN.ipynb index e2a3f15..a85ffe9 100644 --- a/tutorial/SSVQE/SSVQE_Tutorial_CN.ipynb +++ b/tutorial/SSVQE/SSVQE_Tutorial_CN.ipynb @@ -36,7 +36,7 @@ "from paddle.complex import matmul, transpose\n", "from paddle import fluid\n", "from paddle_quantum.circuit import UAnsatz\n", - "from paddle_quantum.utils import random_pauli_str_generator, pauli_str_to_matrix, hermitian" + "from paddle_quantum.utils import random_pauli_str_generator, pauli_str_to_matrix, dagger" ] }, { @@ -75,7 +75,7 @@ "output_type": "stream", "text": [ "Random Hamiltonian in Pauli string format = \n", - " [[-0.370073566586669, 'x0'], [0.5866720906246325, 'x0'], [-0.9723198195208609, 'x0,y1'], [0.7007292863508459, 'y0,y1'], [0.80763905789957, 'z1'], [-0.7395686405536626, 'z0'], [0.8988849291817222, 'y0'], [-0.617070687255681, 'z0,z1'], [0.8230276264234271, 'y1,z0'], [0.11655495624091028, 'y1']]\n" + " [[-0.9208973013017021, 'y0,y1'], [0.198490728051139, 'y1'], [0.9587239095910918, 'x1'], [0.07176335076663909, 'x1'], [-0.7920788641602743, 'x1'], [-0.5028229022143014, 'x0'], [-0.14565978959930526, 'z1,y0'], [0.5965836192828249, 'z1,z0'], [0.6251774164147041, 'y1,y0'], [-0.1580838163596252, 'z0,x1']]\n" ] } ], @@ -170,7 +170,7 @@ " U = U_theta(self.theta, N)\n", " \n", " # 计算损失函数\n", - " loss_struct = matmul(matmul(hermitian(U), H), U).real\n", + " loss_struct = matmul(matmul(dagger(U), H), U).real\n", "\n", " # 输入计算基去计算每个子期望值,相当于取 U^dagger*H*U 的对角元 \n", " loss_components = [\n", @@ -235,11 +235,11 @@ "name": "stdout", "output_type": "stream", "text": [ - "iter: 10 loss: -8.5409\n", - "iter: 20 loss: -8.8731\n", - "iter: 30 loss: -9.1038\n", - "iter: 40 loss: -9.2157\n", - "iter: 50 loss: -9.2681\n" + "iter: 10 loss: -3.8289\n", + "iter: 20 loss: -3.9408\n", + "iter: 30 loss: -3.9473\n", + "iter: 40 loss: -3.9480\n", + "iter: 50 loss: -3.9481\n" ] } ], @@ -297,14 +297,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "The estimated ground state energy is: [-2.33059408]\n", - "The theoretical ground state energy: -2.3654429645786506\n", - "The estimated 1st excited state energy is: [-1.69552621]\n", - "The theoretical 1st excited state energy: -1.6867829339244156\n", - "The estimated 2nd excited state energy is: [1.11478154]\n", - "The theoretical 2nd excited state energy: 1.1321233803877833\n", - "The estimated 3rd excited state energy is: [2.91133876]\n", - "The theoretical 3rd excited state energy: 2.920102518115284\n" + "The estimated ground state energy is: [-1.07559121]\n", + "The theoretical ground state energy: -1.0756323552750124\n", + "The estimated 1st excited state energy is: [-0.72131763]\n", + "The theoretical 1st excited state energy: -0.7213113808180259\n", + "The estimated 2nd excited state energy is: [0.72132372]\n", + "The theoretical 2nd excited state energy: 0.7213113808180256\n", + "The estimated 3rd excited state energy is: [1.07558513]\n", + "The theoretical 3rd excited state energy: 1.0756323552750122\n" ] } ], @@ -357,7 +357,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.10" + "version": "3.7.7" }, "pycharm": { "stem_cell": { diff --git a/tutorial/SSVQE/SSVQE_Tutorial_CN.pdf b/tutorial/SSVQE/SSVQE_Tutorial_CN.pdf index 8a3c0feedcea4cba7b2b1edacd667df51681e9b0..9312f9fd496272e5395ea33e8f0ce976ad6de0b7 100644 GIT binary patch delta 103787 zcmV(^K-IsKj}4fQ4Ukki+(wee-|JKGQ3fndW->EL0)qi;!NAPRVr=#7K8yxNopSB= zag)+KW$Kq|}T31#z z4P8~%K8C`ZSe1>pX+%>xHl6;l2#!f-s6wrqemgw&>uZcHo7T6h?M?CRRbe?b{(rvZ 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zlTeKSL)M~BFJQ!rYVVbKHPoMrB^!tMj#P7$cov=0#?I;=uEPfr;)1Swry=0.5 in c:\\users\\v_liurenyu\\anaconda3\\envs\\test_paddle\\lib\\site-packages (from openfermionpyscf) (0.11.0)\n", + "Collecting pyscf\n", + " Using cached https://pypi.tuna.tsinghua.edu.cn/packages/c0/f1/fe52a94e92acf3fa8c5543d86cfed6fea0526011d2ff2dda352f9cf9eaef/pyscf-1.7.4.tar.gz (7.5 MB)\n" + ] + } + ], "source": [ "!pip install openfermionpyscf\n", "clear_output()" @@ -115,30 +128,7 @@ "cell_type": "code", "execution_count": 5, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "The generated h2 Hamiltonian is \n", - " (-0.04207897647782277+0j) [] +\n", - "(-0.04475014401535163+0j) [X0 X1 Y2 Y3] +\n", - "(0.04475014401535163+0j) [X0 Y1 Y2 X3] +\n", - "(0.04475014401535163+0j) [Y0 X1 X2 Y3] +\n", - "(-0.04475014401535163+0j) [Y0 Y1 X2 X3] +\n", - "(0.17771287465139946+0j) [Z0] +\n", - "(0.17059738328801055+0j) [Z0 Z1] +\n", - "(0.12293305056183797+0j) [Z0 Z2] +\n", - "(0.1676831945771896+0j) [Z0 Z3] +\n", - "(0.1777128746513994+0j) [Z1] +\n", - "(0.1676831945771896+0j) [Z1 Z2] +\n", - "(0.12293305056183797+0j) [Z1 Z3] +\n", - "(-0.2427428051314046+0j) [Z2] +\n", - "(0.1762764080431959+0j) [Z2 Z3] +\n", - "(-0.24274280513140462+0j) [Z3]\n" - ] - } - ], + "outputs": [], "source": [ "# 操作系统信息\n", "sysStr = platform.system()\n", @@ -356,14 +346,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "iter: 20 loss: -1.0024\n", - "iter: 20 Ground state energy: -1.0024 Ha\n", - "iter: 40 loss: -1.0935\n", - "iter: 40 Ground state energy: -1.0935 Ha\n", - "iter: 60 loss: -1.1153\n", - "iter: 60 Ground state energy: -1.1153 Ha\n", - "iter: 80 loss: -1.1174\n", - "iter: 80 Ground state energy: -1.1174 Ha\n" + "iter: 20 loss: -1.0843\n", + "iter: 20 Ground state energy: -1.0843 Ha\n", + "iter: 40 loss: -1.1313\n", + "iter: 40 Ground state energy: -1.1313 Ha\n", + "iter: 60 loss: -1.1356\n", + "iter: 60 Ground state energy: -1.1356 Ha\n", + "iter: 80 loss: -1.1361\n", + "iter: 80 Ground state energy: -1.1361 Ha\n" ] } ], @@ -429,7 +419,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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@@ " U = U_theta(self.theta, N)\n", "\n", " # rho_tilde 是将 U 作用在 rho 后得到的量子态 U*rho*U^dagger \n", - " rho_tilde = matmul(matmul(U, self.rho), hermitian(U))\n", + " rho_tilde = matmul(matmul(U, self.rho), dagger(U))\n", "\n", " # 计算损失函数\n", " loss = trace(matmul(self.sigma, rho_tilde))\n", @@ -345,7 +345,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.10" + "version": "3.7.7" }, "pycharm": { "stem_cell": { diff --git a/tutorial/VQSD/VQSD_Tutorial_CN.pdf b/tutorial/VQSD/VQSD_Tutorial_CN.pdf index e20545f28fc4a052836e85872ea9dc3c3cfcaea6..82301cc726ba7cb0bd24fea50cab7785dd153584 100644 GIT binary patch delta 99535 zcmV)KK)S!l;0nUv3XoNQ$#tFietyLP`h@~oseM0t18$)$+CcYP%c`~?OvA`4RqiU1 zs*BO`ukY_0BVw(!^BfkLRhcxK0>#Xc5wRj>%$WCx{V$LI`1mi6JO1x{J3n4ehsW>U zKmMo3-#z}_ufN|vzWx4j_v&`N9**bZi+}q5?Y8d&eLrNt{qEI&j{h7UPv=+r-Fbh0 zJU^WupU#(8PuJVipYe@{^}BrICx^Q_+y~oScf0GwPu_Ot+m%lqUmb7PBj05f*K4PD 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hermitian(U)\n", + " U_dagger = dagger(U)\n", " \n", " \n", " V = U_theta(self.phi)\n", - " V_dagger = hermitian(V)\n", + " V_dagger = dagger(V)\n", " \n", " # 初始化损失函数和奇异值存储器\n", " loss = 0 \n", @@ -475,7 +475,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -523,7 +523,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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\n", 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\n", 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\n", 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\n", 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" ] @@ -640,7 +640,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 13, "metadata": {}, "outputs": [], "source": [ @@ -671,7 +671,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 14, "metadata": {}, "outputs": [], "source": [ @@ -700,7 +700,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 15, "metadata": {}, "outputs": [], "source": [ @@ -725,11 +725,11 @@ " \n", " # 获取量子神经网络的酉矩阵表示\n", " U = U_theta(self.theta)\n", - " U_dagger = hermitian(U)\n", + " U_dagger = dagger(U)\n", " \n", " \n", " V = U_theta(self.phi)\n", - " V_dagger = hermitian(V)\n", + " V_dagger = dagger(V)\n", " \n", " # 初始化损失函数和奇异值存储器\n", " loss = 0 \n", @@ -746,7 +746,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 17, "metadata": {}, "outputs": [ { @@ -760,12 +760,12 @@ "name": "stdout", "output_type": "stream", "text": [ - "主程序段总共运行了 871.9080681800842 秒\n" + "主程序段总共运行了 1971.4076132774353 秒\n" ] }, { "data": { - "image/png": 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\n", 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