Semiclassical formulation of the Gottesman-Knill theorem and universal quantum computation
نویسندگان
چکیده
منابع مشابه
Classical simulation of quantum computation, the gottesman-Knill theorem, and slightly beyond
The Gottesman-Knill theorem states that every “Clifford” quantum circuit, i.e., a circuit composed of Hadamard, CNOT and phase gates, can be simulated efficiently on a classical computer. It is was later found that a highly restricted classical computer (using only NOT and CNOT gates) suffices to simulate all Clifford circuits, implying that these circuits are most likely even significantly wea...
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Normalizer circuits [1, 2] are generalized Clifford circuits that act on arbitrary finitedimensional systems Hd1 ⊗· · ·⊗Hdn with a standard basis labeled by the elements of a finite Abelian group G = Zd1 × · · · × Zdn . Normalizer gates implement operations associated with the group G and can be of three types: quantum Fourier transforms, group automorphism gates and quadratic phase gates. In t...
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Shor’s algorithms for factorization and discrete logarithms on a quantum computer employ Fourier transforms preceding a final measurement. It is shown that such a Fourier transform can be carried out in a semi-classical way in which a “classical” (macroscopic) signal resulting from the measurement of one bit (embodied in a twostate quantum system) is employed to determine the type of measuremen...
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ژورنال
عنوان ژورنال: Physical Review A
سال: 2017
ISSN: 2469-9926,2469-9934
DOI: 10.1103/physreva.96.032331