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Volumn 3, Issue 2, 2011, Pages 305-324

Symmetry groups for the decomposition of reversible computers, quantum computers, and computers in between

Author keywords

Group theory; Quantum computing; Reversible computing

Indexed keywords


EID: 84860551503     PISSN: None     EISSN: 20738994     Source Type: Journal    
DOI: 10.3390/sym3020305     Document Type: Article
Times cited : (10)

References (33)
  • 1
    • 0142051871 scopus 로고    scopus 로고
    • Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer
    • Shor, P. Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer. SIAM J. Comput. 1997, 26, 1484-1509.
    • (1997) SIAM J. Comput. , vol.26 , pp. 1484-1509
    • Shor, P.1
  • 2
    • 4243807288 scopus 로고    scopus 로고
    • Quantum mechanics helps in searching for a needle in a haystack
    • Grover L. Quantum mechanics helps in searching for a needle in a haystack. Phys. Rev. Lett. 1997, 79, 325-328.
    • (1997) Phys. Rev. Lett. , vol.79 , pp. 325-328
    • Grover, L.1
  • 3
    • 0000119236 scopus 로고
    • Rapid solution of problems by quantum computation
    • Deutsch, D.; Jozsa, R. Rapid solution of problems by quantum computation. Proc. R. Soc. London Ser. A 1992, 439, 553-558.
    • (1992) Proc. R. Soc. London Ser. A , vol.439 , pp. 553-558
    • Deutsch, D.1    Jozsa, R.2
  • 4
    • 0000328287 scopus 로고
    • Irreversibility and heat generation in the computational process
    • Landauer, R. Irreversibility and heat generation in the computational process. IBM J. Res. Dev. 1961, 5, 183-191.
    • (1961) IBM J. Res. Dev. , vol.5 , pp. 183-191
    • Landauer, R.1
  • 5
    • 0014758208 scopus 로고
    • Minimal energy dissipation in logic
    • Keyes, R.; Landauer, R. Minimal energy dissipation in logic. IBM J. Res. Dev. 1970, 14, 153-157.
    • (1970) IBM J. Res. Dev. , vol.14 , pp. 153-157
    • Keyes, R.1    Landauer, R.2
  • 8
    • 33947204351 scopus 로고    scopus 로고
    • Reverse engineering
    • Hayes, B. Reverse engineering. Am. Sci. 2006, 94, 107-111.
    • (2006) Am. Sci. , vol.94 , pp. 107-111
    • Hayes, B.1
  • 12
    • 70350712413 scopus 로고    scopus 로고
    • BDD-based synthesis of reversible logic for large functions
    • San Francisco, CA, USA, July
    • Wille, R.; Drechsler, R. BDD-based synthesis of reversible logic for large functions. In Proceedings of the 46th Design Automation Conference, San Francisco, CA, USA, July 2009; pp. 270-275.
    • (2009) Proceedings of the 46th Design Automation Conference
    • Wille, R.1    Drechsler, R.2
  • 13
    • 84860594765 scopus 로고    scopus 로고
    • Thus a measurement of these (qu)bits before or after the computation would lead to the same results
    • Thus a measurement of these (qu)bits before or after the computation would lead to the same results
  • 15
  • 16
    • 70349304226 scopus 로고    scopus 로고
    • Young subgroups for reversible computers
    • De Vos, A.; Van Rentergem, Y. Young subgroups for reversible computers. Adv. Math. Commun. 2008, 2, 183-200.
    • (2008) Adv. Math. Commun. , vol.2 , pp. 183-200
    • De Vos, A.1    Van Rentergem, Y.2
  • 17
    • 84860596860 scopus 로고    scopus 로고
    • 2 such matrices
    • 2 such matrices.
  • 19
    • 77954581701 scopus 로고    scopus 로고
    • Linear reversible computing: Digital versus analog
    • De Vos, A.; De Baerdemacker, S. Linear reversible computing: Digital versus analog. Int. J. Unconv. Comput. 2010, 6, 239-263.
    • (2010) Int. J. Unconv. Comput. , vol.6 , pp. 239-263
    • De Vos, A.1    De Baerdemacker, S.2
  • 20
    • 0004151496 scopus 로고    scopus 로고
    • Springer: New York, NY, USA
    • Bhatia, R. Matrix Analysis; Springer: New York, NY, USA, 1997; pp. 195-203.
    • (1997) Matrix Analysis; , pp. 195-203
    • Bhatia, R.1
  • 22
    • 84860553066 scopus 로고    scopus 로고
    • Sandia Report, SAND2006-3440; Sandia National Laboratories: Albuquerque, NM, USA
    • Slepoy, A. Quantum Gate Decomposition Algorithms; Sandia Report, SAND2006-3440; Sandia National Laboratories: Albuquerque, NM, USA, 2006.
    • (2006) Quantum Gate Decomposition Algorithms;
    • Slepoy, A.1
  • 24
    • 29844432303 scopus 로고    scopus 로고
    • A new algorithm for producing quantum circuits using KAK decompositions
    • Nakajima, Y.; Kawano, Y.; Sekigawa, H. A new algorithm for producing quantum circuits using KAK decompositions. Quantum Inf. Comput. 2006, 6, 67-80.
    • (2006) Quantum Inf. Comput. , vol.6 , pp. 67-80
    • Nakajima, Y.1    Kawano, Y.2    Sekigawa, H.3
  • 27
    • 0004236492 scopus 로고    scopus 로고
    • John Hopkins University Press: Baltimore, MD, USA
    • Golub, G.; Van Loan, C. Matrix Computations; John Hopkins University Press: Baltimore, MD, USA, 1996; pp. 75-79.
    • (1996) Matrix Computations; , pp. 75-79
    • Golub, G.1    Van Loan, C.2
  • 29
    • 0004272024 scopus 로고
    • John Wiley: New York, NY, USA
    • Gasiorowicz, S. Quantum Physics; John Wiley: New York, NY, USA, 1974; p. 232.
    • (1974) Quantum Physics; , pp. 232
    • Gasiorowicz, S.1
  • 30
    • 0002554668 scopus 로고
    • Quantum computation
    • Deutsch, D. Quantum computation. Phys. World 1992, 5, 57-61.
    • (1992) Phys. World , vol.5 , pp. 57-61
    • Deutsch, D.1
  • 32
    • 0036059798 scopus 로고    scopus 로고
    • Information and computation: Classical and quantum aspects
    • Galindo, A.; Martín-Delgado, M. Information and computation: Classical and quantum aspects. Rev. Mod. Phys. 2002, 74, 347-423.
    • (2002) Rev. Mod. Phys. , vol.74 , pp. 347-423
    • Galindo, A.1    Martín-Delgado, M.2
  • 33
    • 70349430475 scopus 로고    scopus 로고
    • Decision diagram techniques for reversible and quantum circuits
    • Freiberg, Germany, September
    • Miller, D. Decision diagram techniques for reversible and quantum circuits. In Proceedings of the 8th International Workshop on Boolean Problems, Freiberg, Germany, September 2008; pp. 1-15.
    • (2008) Proceedings of the 8th International Workshop on Boolean Problems , pp. 1-15
    • Miller, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.