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020 _a9783031798955
_9978-3-031-79895-5
024 7 _a10.1007/978-3-031-79895-5
_2doi
050 4 _aT1-995
072 7 _aTBC
_2bicssc
072 7 _aTEC000000
_2bisacsh
072 7 _aTBC
_2thema
082 0 4 _a620
_223
100 1 _aVos, Alexis De.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_983759
245 1 0 _aSynthesis of Quantum Circuits vs. Synthesis of Classical Reversible Circuits
_h[electronic resource] /
_cby Alexis De Vos, Stijn De Baerdemacker, Yvan Van Rentergem.
250 _a1st ed. 2018.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2018.
300 _aXV, 109 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSynthesis Lectures on Digital Circuits & Systems,
_x1932-3174
505 0 _aAcknowledgments -- Introduction -- Bottom -- Bottom-Up -- Top -- Top-Down -- Conclusion -- Bibliography -- Authors' Biographies -- Index.
520 _aAt first sight, quantum computing is completely different from classical computing. Nevertheless, a link is provided by reversible computation. Whereas 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(??)). Both 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.
650 0 _aEngineering.
_99405
650 0 _aElectronic circuits.
_919581
650 0 _aControl engineering.
_931970
650 0 _aRobotics.
_92393
650 0 _aAutomation.
_92392
650 0 _aComputers.
_98172
650 1 4 _aTechnology and Engineering.
_983761
650 2 4 _aElectronic Circuits and Systems.
_983763
650 2 4 _aControl, Robotics, Automation.
_931971
650 2 4 _aComputer Hardware.
_933420
700 1 _aBaerdemacker, Stijn De.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_983764
700 1 _aRentergem, Yvan Van.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_983765
710 2 _aSpringerLink (Online service)
_983768
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031798962
776 0 8 _iPrinted edition:
_z9783031798948
776 0 8 _iPrinted edition:
_z9783031798979
830 0 _aSynthesis Lectures on Digital Circuits & Systems,
_x1932-3174
_983769
856 4 0 _uhttps://doi.org/10.1007/978-3-031-79895-5
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942 _cEBK
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