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In this work, we present a multi-layer quantum search method that generates an exponential speedup of the standard Grover's algorithm. As direct applications, any NP problems can be solved efficiently on a quantum circuit with only…

量子物理 · 物理学 2020-04-28 Shan Jin , Xiaoting Wang , Bo Li

The progress in building quantum computers to execute quantum algorithms has recently been remarkable. Grover's search algorithm in a binary quantum system provides considerable speed-up over classical paradigm. Further, Grover's algorithm…

量子物理 · 物理学 2022-08-24 Amit Saha , Ritajit Majumdar , Debasri Saha , Amlan Chakrabarti , Susmita Sur-Kolay

Grover's unstructured search algorithm is one of the best examples to date for the superiority of quantum algorithms over classical ones. Its applicability, however, has been questioned by many due to its oracular nature. We propose a…

量子物理 · 物理学 2017-08-21 Itay Hen

Quantum search algorithm (also known as Grover's algorithm) lays the foundation for many other quantum algorithms. Although it is very simple, its implementation is limited on noisy intermediate-scale quantum (NISQ) processors. Grover's…

量子物理 · 物理学 2022-09-28 Kun Zhang , Kwangmin Yu , Vladimir Korepin

A scheme of implementing the Grover search algorithm based on Josephson charge qubits has been proposed, which would be a key step to scale more complex quantum algorithms and very important for constructing a real quantum computer via…

超导电性 · 物理学 2009-11-11 Xiao-Hu Zheng , Ping Dong , Zheng-Yuan Xue , Zhuo-Liang Cao

The Grover search algorithm is a pivotal advancement in quantum computing, promising a remarkable speedup over classical algorithms in searching unstructured large databases. Here, we report results for the implementation and…

量子物理 · 物理学 2025-01-14 M. AbuGhanem

A simple scheme is presented to generate n-qubit W state with rf-superconducting quantum interference devices (rf-SQUIDs) in cavity QED through adiabatic passage. Because of the achievable strong coupling for rf-SQUID qubits embedded in…

量子物理 · 物理学 2015-06-26 Z. J. Deng , K. L. Gao , M. Feng

The desired interference required for quantum computing may be modified by the wave function oscillations for the implementation of quantum algorithms[Phys.Rev.Lett.84(2000)1615]. To diminish such detrimental effect, we propose a scheme…

量子物理 · 物理学 2009-11-07 Mang Feng

We generalize Grover algorithm with two arbitrary phases in a density matrix set up. We give exact analytic expressions for the success probability after arbitrary number of iteration of the generalized Grover operator as a function of…

量子物理 · 物理学 2022-08-01 Saptarshi Roy Chowdhury , Swarupananda Pradhan

We present efficient methods to implement the quantum computing Grover search algorithm using the Rydberg blockade interaction. We show that simple pi-pulse excitation sequences between ground and Rydberg excited states readily produce the…

量子物理 · 物理学 2013-10-31 Klaus Molmer , Larry Isenhower , Mark Saffman

We propose a way to realize a multiqubit controlled phase gate with one qubit simultaneously controlling $n$ target qubits using atoms in cavity QED. In this proposal, there is no need of using classical pulses during the entire gate…

量子物理 · 物理学 2013-07-05 Qi-Ping Su , Man Liu , Chui-Ping Yang

This paper presents an enhancement to Grover's search algorithm for instances where the number of items (or the size of the search problem) $N$ is not a power of 2. By employing an efficient algorithm for the preparation of uniform quantum…

量子物理 · 物理学 2025-06-06 Alok Shukla , Prakash Vedula

We investigate the performance of Grover's quantum search algorithm on a register which is subject to loss of the particles that carry the qubit information. Under the assumption that the basic steps of the algorithm are applied correctly…

量子物理 · 物理学 2012-10-23 D. D. Bhaktavatsala Rao , Klaus Mølmer

We demonstrate the implementation of Grover's quantum search algorithm on a liquid state nuclear magnetic resonance (NMR) quantum computer using essentially pure states. This was achieved using a two qubit device where the initial state is…

量子物理 · 物理学 2007-05-23 M. S. Anwar , D. Blazina , H. Carteret , S. B. Duckett , J. A. Jones

Grover's search algorithm is renowned for its dramatic speedup in solving many important scientific problems. The recently proposed Variational Quantum Search (VQS) algorithm has shown an exponential advantage over Grover's algorithm for up…

量子物理 · 物理学 2023-02-01 Junpeng Zhan

We check a recent proposal [H. Goto and K. Ichimura Phys. Rev. A 70, 012305 (2004)] for controlled phase gate through adiabatic passage under the influence of spontaneous emission and the cavity decay. We show a modification of above…

量子物理 · 物理学 2015-06-26 Z. J. Deng , K. L. Gao , F. Mang

Grover's quantum search algorithm, involving a large number of qubits, is highly sensitive to errors in the physical implementation of the unitary operators. This poses an intrinsic limitation to the size of the database that can be…

量子物理 · 物理学 2009-12-22 Avik Mitra , Avatar Tulsi , Anil Kumar

We report the implementation of Grover's quantum search algorithm in the scalable system of trapped atomic ion quantum bits. Any one of four possible states of a two-qubit memory is marked, and following a single query of the search space,…

量子物理 · 物理学 2009-11-11 K. -A. Brickman , P. C. Haljan , P. J. Lee , M. Acton , L. Deslauriers , C. Monroe

A single three-level atom driven by a longitudinal mode of a high-Q cavity is used to implement two-qubit quantum phase gates for the intracavity field. The two qubits are associated to the zero-and one-photon Fock states of each of the two…

量子物理 · 物理学 2016-08-16 R. García--Maraver , R. Corbalán , K. Eckert , S. Rebić , M. Artoni , J. Mompart

Phase matching has been studied for the Grover algorithm as a way of enhancing the efficiency of the quantum search. Recently Li and Li found that a particular form of phase matching yields, with a single Grover operation, a success…

量子物理 · 物理学 2009-11-13 F. M. Toyama , W. van Dijk , Y. Nogami , M. Tabuchi , Y. Kimura