From 9b32ac4e511f12f31c7bb6fca5c72199ca7fb2bb Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Elena=20Pe=C3=B1a=20Tapia?= Date: Wed, 6 Mar 2024 22:45:36 +0100 Subject: [PATCH] Last additions --- demos/qiskit_patterns/2_qiskit_patterns.ipynb | 15 +++++++-------- demos/qiskit_patterns/imgs/eagle-heron-0.png | Bin 0 -> 74763 bytes demos/qiskit_patterns/imgs/eagle-heron.png | Bin 74763 -> 146414 bytes 3 files changed, 7 insertions(+), 8 deletions(-) create mode 100644 demos/qiskit_patterns/imgs/eagle-heron-0.png diff --git a/demos/qiskit_patterns/2_qiskit_patterns.ipynb b/demos/qiskit_patterns/2_qiskit_patterns.ipynb index b4a1085..09c36a1 100644 --- a/demos/qiskit_patterns/2_qiskit_patterns.ipynb +++ b/demos/qiskit_patterns/2_qiskit_patterns.ipynb @@ -7,8 +7,7 @@ "source": [ "# Scaling Quantum Optimization with Qiskit Patterns\n", "\n", - "In this how-to we will learn about Qiskit Patterns and quantum approximate optimization. Qiskit Patterns define a four-step process for running algorithms on a quantum computer:\n", - "\n", + "In this how-to we will learn about Qiskit Patterns and quantum approximate optimization. A Qiskit Pattern is an intuitive, repeatable set of steps for implementing a quantum computing workflow: \n", "\n", "\"Drawing\"\n", "\n", @@ -48,7 +47,7 @@ "id": "74b92ba5-c48a-405c-9c4b-04e985a7afbc", "metadata": {}, "source": [ - "Max-Cut is a hard to solve optimization problem with applications in clustering, network science, and statistical physics. The goal of this problem is to partition the nodes of a graph into to sets such that the number of edges traversed by this cut is maximum.\n", + "Max-Cut is a hard to solve optimization problem with applications in clustering, network science, and statistical physics. The goal of this problem is to partition the nodes of a graph into two sets such that the number of edges traversed by this cut is maximum.\n", "\n", "\"Max-Cut\"/" ] @@ -171,7 +170,6 @@ "H_C=\\sum_{ij}Q_{ij}Z_iZ_j + \\sum_i b_iZ_i.\n", "\\end{align}\n", "\n", - "
\n", "First, a variable change, we convert the binary variables $x_i$ to variables $z_i\\in\\{-1, 1\\}$ by doing\n", "\n", "\\begin{align}\n", @@ -195,10 +193,11 @@ "\\begin{align}\n", "H_C=\\sum_{ij}Q_{ij}Z_iZ_j + \\sum_i b_iZ_i.\n", "\\end{align}\n", - "
\n", "\n", - "We refer to this Hamiltonian as the **cost function Hamiltonian**. It has the property that its gound state corresponds to the solution that **minimizes the cost function $f(x)$**.\n", - "Therefore, to solve our optimization problem we now need to prepare the ground state of $H_C$ (or a state with a high overlap with it) on the quantum computer. Then, sampling from this state will, with a high probability, yield the solution to $min f(x)$." + "
\n", + "We refer to this Hamiltonian as the cost function Hamiltonian. It has the property that its gound state corresponds to the solution that minimizes the cost function $f(x)$.\n", + "Therefore, to solve our optimization problem we now need to prepare the ground state of $H_C$ (or a state with a high overlap with it) on the quantum computer. Then, sampling from this state will, with a high probability, yield the solution to $min~f(x)$.\n", + "
" ] }, { @@ -1362,7 +1361,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.7" + "version": "3.10.0" } }, "nbformat": 4, diff --git a/demos/qiskit_patterns/imgs/eagle-heron-0.png b/demos/qiskit_patterns/imgs/eagle-heron-0.png new file mode 100644 index 0000000000000000000000000000000000000000..646e7291307b48194cced2dccb679bc36ef011c6 GIT binary patch literal 74763 zcmeFZby!qw*FFpgN=OVj(hNvT2uO#-(2aD5l+vAo!~jF9AT15j9RkuNA_#(jBAwDO zG~XWe_P+gn-}}7xaeV*${&+Z!VKy^+U;EnYTGv|VTI*aysHw=}Vv}Q|prGK&%SmgX zpj?NeprB@8UI#uYqomhELBTGum6B4Emy)7Yb8&oV`^X9fMK0ob(hW6DJ+j_y-!-~d zw?pt=@!uCh%?e?R>t4+8OC7!f$!vcL7t8zpW@5Tee?jxUkIrAWEHa6dLCB5xrK z1%2lU%3=^@cq)te^&2-(x*qnnP4`kWP*nOZYwBNJUbdy6#b)+npkPA z%Nrohq$q_?D1!0P(&3E0RemQ?^3w^qlwxdScp@p);fG3-Vi4qah zwf1>NS~`3&rXnwni2%YbImvhDPI~wbOGtD)B?B~N)Vk|RhH2L^WmiKPk4b%i$M@yE zHwCns&j$2%1F3tj>T0z5H_5|bi3we;ulfpMX`efvxdpP|ERbCvs(QkoE^A-CzCm;!_=p(wB*s 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