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تسجيل مستخدم جديدSimple scheme for implementing the Deutsch-Jozsa algorithm in thermal cavity
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We present a simple scheme to implement the Deutsch-Jozsa algorithm based on two-atom interaction in a thermal cavity. The photon-number-dependent parts in the evolution operator are canceled with the strong resonant classical field added. As a result, our scheme is immune to thermal field, and does not require the cavity to remain in the vacuum state throughout the procedure. Besides, large detuning between the atoms and the cavity is not necessary neither, leading to potential speed up of quantum operation. Finally, we show by numerical simulation that the proposed scheme is equal to demonstrate the Deutsch-Jozsa algorithm with high fidelity.
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Quantum information processing has been one of the pillars of the new information age. In this sense, the control and processing of quantum information plays a fundamental role, and computers capable of manipulating such information have become a rea
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In the {em distributed Deutsch-Jozsa promise problem}, two parties are to determine whether their respective strings $x,yin{0,1}^n$ are at the {em Hamming distance} $H(x,y)=0$ or $H(x,y)=frac{n}{2}$. Buhrman et al. (STOC 98) proved that the exact {em
quantum communication complexity} of this problem is ${bf O}(log {n})$ while the {em deterministic communication complexity} is ${bf Omega}(n)$. This was the first impressive (exponential) gap between quantum and classical communication complexity. In this paper, we generalize the above distributed Deutsch-Jozsa promise problem to determine, for any fixed $frac{n}{2}leq kleq n$, whether $H(x,y)=0$ or $H(x,y)= k$, and show that an exponential gap between exact quantum and deterministic communication complexity still holds if $k$ is an even such that $frac{1}{2}nleq k<(1-lambda) n$, where $0< lambda<frac{1}{2}$ is given. We also deal with a promise version of the well-known {em disjointness} problem and show also that for this promise problem there exists an exponential gap between quantum (and also probabilistic) communication complexity and deterministic communication complexity of the promise version of such a disjointness problem. Finally, some applications to quantum, probabilistic and deterministic finite automata of the results obtained are demonstrated.
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A classical analogue of Deutsch and Jozsas algorithm is given and its implications on quantum computing is discussed
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