Problems and Solutions in Quantum Computing and Quantum Information
暫譯: 量子計算與量子資訊中的問題與解決方案

Willi-Hans Steeb, Yorick Hardy

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商品描述

Quantum computing and quantum information are two of the fastest growing and most exciting research fields in physics. Entanglement, teleportation and the possibility of using the non-local behavior of quantum mechanics to factor integers in random polynomial time have also added to this new interest.

This book presents a huge collection of problems in quantum computing and quantum information together with their detailed solutions, which will prove to be invaluable to students as well as researchers in these fields. Each chapter gives a comprehensive introduction to the topics. All the important concepts and areas such as quantum gates and quantum circuits, product Hilbert spaces, entanglement and entanglement measures, teleportation, Bell states, Bell measurement, Bell inequality, Schmidt decomposition, quantum Fourier transform, magic gate, von Neumann entropy, quantum cryptography, quantum error corrections, quantum games, number states and Bose operators, coherent states, squeezed states, Gaussian states, coherent Bell states, POVM measurement, quantum optics networks, beam splitter, phase shifter and Kerr Hamilton operator are included. A chapter on quantum channels has also been added. Furthermore a chapter on boolean functions and quantum gates with mapping bits to qubits is included.

The topics range in difficulty from elementary to advanced. Almost all problems are solved in detail and most of the problems are self-contained. Each chapter also contains supplementary problems to challenge the reader. Programming problems with Maxima and SymbolicC++ implementations are also provided.

Readership: Graduates and researchers in theoretical and mathematical physics.

商品描述(中文翻譯)

量子計算和量子資訊是物理學中增長最快且最令人興奮的研究領域之一。糾纏、傳送以及利用量子力學的非局部行為在隨機多項式時間內因式分解整數的可能性,進一步增強了這一新興興趣。

本書提供了大量的量子計算和量子資訊問題及其詳細解答,對於這些領域的學生和研究人員來說將是無價的資源。每一章都對主題進行了全面的介紹。所有重要的概念和領域,如量子閘和量子電路、乘積希爾伯特空間、糾纏及糾纏度量、傳送、貝爾態、貝爾測量、貝爾不等式、施密特分解、量子傅立葉變換、魔術閘、馮·諾依曼熵、量子密碼學、量子錯誤修正、量子遊戲、數字態和玻色算子、相干態、擠壓態、高斯態、相干貝爾態、POVM測量、量子光學網絡、光束分離器、相位移器和克爾哈密頓算子均有涵蓋。此外,還增加了一章關於量子通道的內容。還包括一章關於布爾函數和量子閘,並將位元映射到量子位。

這些主題的難度範圍從初級到高級。幾乎所有問題都有詳細的解答,大多數問題都是自足的。每一章還包含補充問題以挑戰讀者。還提供了使用 Maxima 和 SymbolicC++ 實現的程式設計問題。

讀者對象:理論和數學物理的研究生及研究人員。