Problems and Solutions in Quantum Computing and Quantum Information (Paperback)

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)

量子計算和量子信息是物理學中增長最快、最令人興奮的研究領域之一。量子纏繞、量子隱形傳輸以及利用量子力學的非局域行為在隨機多項式時間內因式分解整數的可能性,也為這一新興領域增添了興趣。

本書提供了大量的量子計算和量子信息問題及其詳細解答,對於學生和研究人員來說都非常寶貴。每一章都對相應的主題進行了全面的介紹。所有重要的概念和領域,如量子門和量子電路、乘積希爾伯特空間、纏繞和纏繞度量、隱形傳輸、貝爾態、貝爾測量、貝爾不等式、施密特分解、量子傅立葉變換、魔術門、馮·諾依曼熵、量子密碼學、量子錯誤修正、量子遊戲、數字狀態和玻色算符、相干狀態、擠壓狀態、高斯狀態、相干貝爾態、POVM測量、量子光學網絡、分束器、相位移器和克爾漢密爾頓算符都有所涉及。還增加了一章關於量子通道的內容。此外,還包含了一章關於布爾函數和將位映射到量子位的量子門。

這些主題的難度從初級到高級不等。幾乎所有問題都有詳細解答,大部分問題都是自包含的。每一章還包含了一些補充問題,以挑戰讀者。還提供了使用Maxima和SymbolicC++進行編程的問題。

讀者群:理論物理學和數學物理學的研究生和研究人員。