{"product_id":"9783031798948","title":"Synthesis Lectures on Digital Circuits \u0026 Systems","description":"\u003ch1\u003eSynthesis Lectures on Digital Circuits \u0026amp; Systems\u003c\/h1\u003e \u003ch2\u003eVos, Alexis De; Baerdemacker, Stijn De; Rentergem, Yvan Van\u003c\/h2\u003e \u003cp\u003eAt first sight, quantum computing is completely different from classical computing. Nevertheless, a link is provided by reversible computation.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\nWhereas an arbitrary quantum circuit, acting on ?? qubits, is described by an ?? × ?? unitary matrix with ??=2??, a reversible classical circuit, acting on ?? bits, is described by a 2?? × 2?? permutation matrix. The permutation matrices are studied in group theory of finite groups (in particular the symmetric group ????); the unitary matrices are discussed in group theory of continuous groups (a.k.a. Lie groups, in particular the unitary group U(??)).\u003cp\u003e\u003c\/p\u003e\nBoth the synthesis of a reversible logic circuit and the synthesis of a quantum logic circuit take advantage of the decomposition of a matrix: the former of a permutation matrix, the latter of a unitary matrix. In both cases the decomposition is into three matrices. In both cases the decomposition is not unique.\u003cp\u003e\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2018-07-03\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783031798948\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-031-79895-5\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x191cm\u003c\/p\u003e \u003cp\u003ePages: 109\u003c\/p\u003e ","brand":"Morgan \u0026 Claypool","offers":[{"title":"Default Title","offer_id":47716690067596,"sku":"9783031798948","price":58.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783031798948.jpg?v=1776864927","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783031798948","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}