Boolean algebra is commonly viewed as the mathematical foundation of classical logic circuits. The analogous role for quantum logic circuits is played by linear algebra. The physical principles of quantum circuits are governed by quantum mechanics, which makes heavy use of the theory of linear operators in Hilbert space. Section 3.1 reviews the portions of linear algebra that are most relevant to quantum mechanics. Then Section 3.2 reviews the key concepts of quantum mechanics that are most relevant to quantum circuits.
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© 2009 Springer Science + Business Media B.V.
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(2009). Linear Algebra and Quantum Mechanics. In: Quantum Circuit Simulation. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3065-8_3
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DOI: https://doi.org/10.1007/978-90-481-3065-8_3
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-3064-1
Online ISBN: 978-90-481-3065-8
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