Quantum Computing Devices: Principles, Designs, and Analysis by Goong Chen, David A. Church, Berthold-Georg Englert, Carsten

By Goong Chen, David A. Church, Berthold-Georg Englert, Carsten Henkel, Bernd Rohwedder, Marlan O. Scul

One of many first books to completely learn the topic, Quantum Computing units: rules, Designs, and research covers the fundamental elements within the layout of a "real" quantum laptop. It explores modern and critical elements of quantum computation, rather concentrating on the function of quantum digital units as quantum gates.Largely self-contained and written in an academic variety, this reference provides the research, layout, and modeling of the foremost forms of quantum computing units: ion traps, hollow space quantum electrodynamics (QED), linear optics, quantum dots, nuclear magnetic resonance (NMR), superconducting quantum interference units (SQUID), and impartial atom traps. It starts by way of explaining the basics and algorithms of quantum computing, through the operations and formalisms of quantum platforms. for every digital machine, the following chapters speak about actual homes, the setup of qubits, keep an eye on activities that produce the quantum gates which are common for quantum computing, suitable measurements, and decoherence houses of the platforms. The ebook additionally contains tables, diagrams, and figures that illustrate a variety of information, makes use of, and designs of quantum computing.As nanoelectronics will necessarily exchange microelectronics, the advance of quantum details technological know-how and quantum computing know-how is critical to the way forward for info technological know-how and expertise. Quantum Computing units: ideas, Designs, and research is helping satisfy this desire by way of supplying a accomplished selection of the main promising units for the longer term.

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Additional info for Quantum Computing Devices: Principles, Designs, and Analysis (Chapman & Hall Crc Applied Mathematics and Nonlinear Science Series)

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6. A generalized formalism is discussed in Chap. 4 on “Imperfect Quantum Operations”. 36 CHAPTER 2. QUANTUM COMPUTATION AND SYSTEMS The matrix Uxy (t) must be unitary to preserve the normalization of the probability amplitudes and hence to be compatible with the probabilistic interpretation of the state vector. , in atomic, molecular and optical systems. 11) i ∂t where ψ, the wave function, depends on both time t ∈ R and space r = (x1 , x2 , . . 11) is an operator, called the Hamiltonian, and is the Planck constant.

Independent of , 2n (2 +1) where Ln+ 0, 1, 2, . . 28) are the associated Laguerre polynomials such that for m, n = (m) (m) (m) xLm+n + (m + 1 − x)Lm+n + (m + n)Lm+n = 0, (m) Lm+n (x) = ex x−(m+n) dm+n −x 2m+n (e x ), (m + n)! 2. QUANTUM MECHANICAL SYSTEMS 41 (0) (when m = 0, Ln (x) is simply denoted as Ln (x)). The electron state of the hydrogen can thus be characterized by three “quantum numbers” n, , m: ⎧ |n m : Rn (r)Θ m (θ)Φm (φ) is its spatial wave function, with a ⎪ ⎪ ⎪ ⎨ proper normalization factor, n = 1, 2, .

It can be described by a 6-tuple (Q, A, B, δ, q0 , qa ), where Q = {q0 , q1 , q2 , . . , qm } is a finite set of control states; A = {α1 , α2 , α3 , . . 1. TURING MACHINES AND BINARY LOGIC GATES 29 δ : Q × A → Q × A × {L, R} is the transition function which describes the rules for the moves of the TM, where “L” and “R” stand for the tape head moving left and right by one cell, respectively; q0 ∈ Q is the initial state; qa ∈ Q is the accepting state. Initially, a finite string of symbols from A (the input) is written on the tape.

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