Reversible Computing: Fundamentals, Quantum Computing, and Applications
Written by one of the few top internationally recognized experts in the field, this book concentrates on those topics that will remain fundamental, such as low power computing, reversible programming languages, and applications in thermodynamics. It describes reversible computing from various points of view: Boolean algebra, group theory, logic circuits, low-power electronics, communication, software, quantum computing. It is this multidisciplinary approach that makes it unique.
Backed by numerous examples, this is useful for all levels of the scientific and academic community, from undergraduates to established academics.
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affine exchangers affine linear algorithm analog Appendix apply arbitrary binary Boolean function building blocks called cascade circuits of width classical reversible columns control circuit control function control gates controlled bit controlled NOT gate decomposed decomposition double cosets doubly stochastic entropy example exchange gate Exercise FEYNMAN gates Figure finite group form a group Fourier transform FREDKIN gate full adder function f gate cost implementation integer inverse irreversible isomorphic Lie group LIFT gates linear functions linear reversible circuits logic depth logic gate minterm expansion monotonic multiplication notation permutation matrices quantum circuit quantum computing qubit real number Reed–Muller expansion Rentergem result reversible computing reversible gate reversible logic circuits reversible logic gate SCALE gates Section square root stochastic matrix supergroup SWAP gate switch Sylow symmetric group synthesis method template theorem TOFFOLI gate transistor truth table unitary matrices values variables voltage whereas wire Young subgroup