quantum-showcase/1.Introduction.ipynb

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{
"cells": [
{
"cell_type": "code",
"execution_count": 3,
"id": "fc7fe56b-71b4-498c-955d-e5e56af8f08e",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"{'10': 512, '11': 512}\n"
]
}
],
"source": [
"from spinqit import get_basic_simulator, get_compiler, Circuit, BasicSimulatorConfig\n",
"from spinqit import H, CX, Rx\n",
"from math import pi\n",
"\n",
"# Write the program\n",
"circ = Circuit()\n",
"q = circ.allocateQubits(2)\n",
"circ << (Rx, q[0], pi)\n",
"circ << (H, q[1])\n",
"circ << (CX, (q[0], q[1]))\n",
"\n",
"# Choose the compiler and backend\n",
"comp = get_compiler(\"native\")\n",
"engine = get_basic_simulator()\n",
"\n",
"# Compile\n",
"optimization_level = 0\n",
"exe = comp.compile(circ, optimization_level)\n",
"\n",
"# Run\n",
"config = BasicSimulatorConfig()\n",
"config.configure_shots(1024)\n",
"result = engine.execute(exe, config)\n",
"\n",
"print(result.counts)"
]
},
{
"cell_type": "markdown",
"id": "d71e8f79-5e33-4f7b-8829-df4a134281a2",
"metadata": {},
"source": [
"Бит — компьютерный термин, единица измерения информации. Каждая цифра двоичного числа хранит информацию одного бита.\n",
"\n",
"Компьютер может быть построен на основе двоичной системы и логических вентилей. Более того, независимо от материала, если образованные элементы имеют два состояния, способны\n",
"переключаться между ними и передавать их другим элементам, то они могут быть использованы для реализации логических схем и логических вентилей. После реализации логических вентилей сборка компьютера на основе двоичной системы осуществляется\n",
"по принципу сборки системного блока. Подобная эквивалентность основных элементов позволяет собирать компьютеры из различных материалов.\n",
"\n",
"Квантовый бит, кубит, способен находиться в суперпозиции 0 и 1 в одно и то же время.\n",
"\n"
]
},
{
"attachments": {
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"
}
},
"cell_type": "markdown",
"id": "375e074b-9384-4d44-b1e0-86b806f3f379",
"metadata": {},
"source": [
"![image.png](attachment:00eeb028-148e-406f-88ef-bcff4bf2df49.png)"
]
},
{
"cell_type": "markdown",
"id": "c70daf57-d892-4ce8-87fe-0461c168c427",
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"source": [
"Квант- наименьшая дискретная единица. В микроскопическом поле изменение некоторых физических величин (энергия, угловой момент, спин, электрический заряд) происходит одновременно с наименьшей единицей, а не непрерывно.\n",
"\n",
"\n",
"Квант — это общее название материальных объектов в квантовом мире. Например, микроскопические частицы, такие как фотоны, электроны, атомы, атомные ядра и элементарные частицы, или квантовые системы в макроскопических масштабах, такие как конденсат Бозе-Эйнштейна, сверхпроводники и \"кот Шредингера\". Главная особенность заключается в том, что такие объекты подчиняются законам квантовой механики.\n",
"\n",
"Три основополагающих приниципа квантовой механики, которые противоречат явлениям макромира: \n",
"- суперпозиция, \n",
"- измерение \n",
"- запутанность.\n",
"\n",
"\n",
"## Суперпозиция\n",
"\n",
"Единица информации имеет состояние либо 0, либо 1. Однако в квантовом мире физическая величина объекта является неопределенной и вероятностной. Такая неопределенность не имеет ничего общего с экспериментальной техникой.\n",
"Квантовое состояние записывается следующим образом: |ψ> (символ \"|>\" называется \"символом Дирака\"). Такое состояние введено учеными для описания квантовых систем в квантовой механике.\n",
"\n",
"В состоянии суперпозиции классический бит становится \"кубитом\". Предположим, что квантовый объект имеет два\n",
"определенных возможных состояния, 0 или 1, которые принято записывать как |0>, |1>, то, поскольку квантовое\n",
"состояние (|ψ>) является неопределенным, он не может находиться в определенном состоянии |0> или |1>, он может\n",
"находиться только в состоянии, в котором два определенных состояния накладываются и складываются вместе в\n",
"зависимости от веса. Это уникальный принцип суперпозиции квантовых состояний в квантовом мире, который\n",
"математически выражается как |ψ>= α|0>+ β| 1>.\n",
"\n",
"## Измерение\n",
"\n",
"В классической механике измерение является значимой операцией. Тем не менее, мы не считаем, что процесс измерения подчиняется физическим законам, отличным от других процессов. Независимо от того, смотрите вы на объект или нет, вы уверены, что он обладает определенными свойствами, такими как положение, скорость, и эти свойства не меняются после того, как вы на него посмотрите. В любом случае, вы можете наблюдать за ним в любом месте.\n",
"\n",
"Однако в квантовой механике измерение принципиально отличается от других процессов, и для проведения измерения применяются другие физические законы! Вы не можете просто наблюдать за объектом. Есть большая разница, смотрите ли вы на определенную систему или нет.\n",
"\n",
"Если измеряемое состояние |ψ> = α|0>+ β|1>, где α и β не равны 0, а |α|2+|β|2=1, то есть это состояние не |0>\n",
"и не |1>, что произойдет?\n",
"• Это состояние изменится! Такое изменение также часто называют \"коллапсом\" или используют похожие\n",
"значения. Изменение произошло в одно мгновение. Что произошло?\n",
"• Принимает состояние в базисе, то есть |0> или |1>. Точнее, состояние принимает |0> с вероятностью |α|2 и |\n",
"1> с вероятностью |β|2. Уточним, что невозможно предсказать, примет конкретное измерение значение |0>\n",
"или |1>, прогнозировать можно только вероятность. Значение вероятности определяется либо путем\n",
"многократных измерений, либо путем одновременного измерения большого количества одинаковых\n",
"начальных состояний.\n",
"\n",
"## Запутанность\n",
"\n",
"• Квантовая запутанность — это явление в системе, состоящей из множества частиц, например, двух кубитов |\n",
"β00>=(|00> +|11>)√2, которые представляют суперпозицию |00> и |11> (принцип суперпозиции\n",
"применяется к многочастичным системам), причем |01> и |10> не находятся в этом состоянии. Невозможно\n",
"описать |β00> как \"частица 1 находится в том или ином состоянии, частица 2 находится в том или ином\n",
"состоянии\". Достаточно сказать, что система находится в состоянии |β00>.\n",
"• Две частицы в состоянии запутанности представляют собой единое целое, они являются зависимыми, как\n",
"бы далеко друг от друга они ни находились. При измерении частицы 1 частица 2 изменяется вместе с ней.\n",
"Это не означает, что после изменения частицы 1, сообщение передается частице 2, и частица 2 изменяется\n",
"снова. В данном случае отсутствует передача информации, что не нарушает теорию относительности.\n",
"\n",
"• При измерении |β00> = (|00> + |11>)√2 вы\n",
"определяете состояние частицы 1;\n",
"• Целая система принимает |00> с вероятностью 50%,\n",
обе частицы находятся в собственном состоянии |\n",
"0>;\n",
"• Целая система принимает |11> с вероятностью 50%,\n",
обе частицы находятся в собственном состоянии |\n",
"1>;\n",
"• Невозможно точно определить результат одного\n",
"измерения, но можно точно утверждать, что частица\n",
"1 и частица 2 будут запутаны одновременно."
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