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Volumn 68, Issue 4 A, 2003, Pages

Physical realizations of quantum operations

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL OPERATORS; PROBABILITY; QUANTUM THEORY; TENSORS; VECTORS;

EID: 13444289633     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (18)

References (26)
  • 1
    • 0003482738 scopus 로고    scopus 로고
    • edited by H.-K. Lo, S. Popescu, and T. Spiller (World Scientific, Singapore)
    • Introduction to Quantum Computation and Information, edited by H.-K. Lo, S. Popescu, and T. Spiller (World Scientific, Singapore, 1998).
    • (1998) Introduction to Quantum Computation and Information
  • 3
    • 0347328980 scopus 로고    scopus 로고
    • Quantum information-basic concepts and experiments
    • (Springer, New York)
    • Quantum Information-Basic Concepts and Experiments, Springer Tracts in Modern Physics, Vol. 173 (Springer, New York, 2001).
    • (2001) Springer Tracts in Modern Physics , vol.173
  • 8
    • 0003233008 scopus 로고
    • States, effects and operations: Fundamental notions of quantum theory
    • (Springer, New York)
    • K. Kraus, States, Effects and Operations: Fundamental Notions of Quantum Theory, Vol. 190 of Lecture Notes in Physics (Springer, New York, 1983).
    • (1983) Lecture Notes in Physics , vol.190
    • Kraus, K.1
  • 12
    • 84968466834 scopus 로고
    • see also Ref. [13] and R. F. Werner in Ref. [3], p. 14
    • W. F. Stinespring, Proc. Am. Math. Soc. 6, 211 (1955); see also Ref. [13] and R. F. Werner in Ref. [3], p. 14.
    • (1955) Proc. Am. Math. Soc. , vol.6 , pp. 211
    • Stinespring, W.F.1
  • 14
    • 0004030281 scopus 로고
    • (Addison-Wesley, Reading, MA)
    • S. Lang, Linear Algebra (Addison-Wesley, Reading, MA, 1966).
    • (1966) Linear Algebra
    • Lang, S.1
  • 15
    • 0346067738 scopus 로고    scopus 로고
    • note
    • The usual Kronecker matrix representation uses the following lexicographic ordering for the basis of the tensor-product Hilbert space: the basis element |i>⊗|j> precedes |k>⊗|l> if and only if either i
  • 19
    • 0347959201 scopus 로고    scopus 로고
    • note
    • Notice that the isomorphism R≡L of the two ancillary Hilbert spaces does not mean that the two ancillas are physically equivalent, but only that there exist unitary realizations with the same physical ancilla. In fact, the ancillary spaces can be embedded in different ways in the overall tensor product, different embeddings can be included in the operator of the unitary interaction with the system. These kinds of ambiguity are due to the implicit identification between physical quantum system and its Hilbert space of states within a multipartite (i.e., tensor product) composite system. The misidentification is resolved by more properly identifying the quantum system with its algebra of observables.
  • 26
    • 85088493466 scopus 로고    scopus 로고
    • note
    • n/∼.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.