A SWAP gate for qudits
نویسندگان
چکیده
منابع مشابه
Towards an optimal generalized SWAP gate
We present a novel approach for generalizing the SWAP gate to higher dimensions. We construct a regular quantum gate composed entirely in terms of the generalized CNOT gate to cyclically permute the states of d qudits for d prime. A key feature of the construction design relates to evaluating the periodicity of a family of recurrence relations which we achieve by exploiting generating functions...
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Quantum information science addresses how the processing and transmission of information are affected by uniquely quantum mechanical phenomena. Combination of two-qubit gates has been used to realize quantum circuits, however, scalability is becoming a critical problem. The use of three-qubit gates may simplify the structure of quantum circuits dramatically. Among them, the controlled-SWAP (Fre...
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We give a quantum gate construction composed entirely from incidents of the CNOT gate that generalises the qubit SWAP gate to higher dimensions. This new construction is more regular than and is an improvement on the WilNOT quantum gate construction.
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We propose schemes for the generation of d-level quantum states qudits and quantum entangled states of N qudits by adopting the polarization degree of freedom of photons. Arbitrary qudits can be prepared by putting d−1 identical and independent photons each with a given polarization into a single spatial and temporal mode. Then, by using N such qudits, linear optics, and proper projection measu...
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Shannon’s entropy power inequality (EPI) can be viewed as a statement of concavity of an entropic function of a continuous random variable under a scaled addition rule: f ( √ a X + √ 1− a Y) ≥ a f (X) + (1− a) f (Y) ∀ a ∈ [0, 1]. Here, X and Y are continuous random variables and the function f is either the differential entropy or the entropy power. König and Smith [IEEE Trans. Inf. Theory. 60(...
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ژورنال
عنوان ژورنال: Quantum Information Processing
سال: 2013
ISSN: 1570-0755,1573-1332
DOI: 10.1007/s11128-013-0621-x