An Introduction to Quantum Computing
OUP Oxford, 2007 - Computers - 274 pages
This concise, accessible text provides a thorough introduction to quantum computing - an exciting emergent field at the interface of the computer, engineering, mathematical and physical sciences. Aimed at advanced undergraduate and beginning graduate students in these disciplines, the text is technically detailed and is clearly illustrated throughout with diagrams and exercises. Some prior knowledge of linear algebra is assumed, including vector spaces and inner products. However,prior familiarity with topics such as quantum mechanics and computational complexity is not required.
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LINEAR ALGEBRA AND THE DIRAC NOTATION
QUBITS AND THE FRAMEWORK OF QUANTUM
INTRODUCTORY QUANTUM ALGORITHMS
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1-qubit acting algorithm amplitude apply assume basis bit flip black-box bound called classical CNOT gate codeword complexity computational basis consider constant corresponding defined Definition denote described determine discrete effect efficiently eigenvalue elements encoding Equation equivalent error error correction estimation example Exercise factor finite function gate given gives illustrated implement input integer linear logarithm machine maps matrix means measurement method Note observable obtain operator outcome output parity perform phase physical polynomial positive possible probabilistic probability probability at least problem procedure Prove quantum algorithm quantum circuit quantum computing quantum mechanics qubit queries random Recall recovery operation represent respect result reversible running satisfying Show simple simulate single solution solve space step string superposition Suppose Theorem transformation vector wires written