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1

Qiu, Daowen, and Shenggen Zheng. "Revisiting Deutsch-Jozsa algorithm." Information and Computation 275 (December 2020): 104605. http://dx.doi.org/10.1016/j.ic.2020.104605.

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2

Nathanson, Michael. "Quantum guessing via Deutsch-Jozsa." Quantum Information and Computation 10, no. 9&10 (2010): 837–47. http://dx.doi.org/10.26421/qic10.9-10-9.

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We examine the "Guessing Secrets" problem arising in internet routing, in which the goal is to discover the identity of two objects from a known finite set $\Omega$ by asking yes/no questions. The best known classical algorithm requires $O(\log N)$ questions and $O(\log^2 N)$ steps to process the answers, where $N = \vert \Omega \vert$. We apply the Deutsch-Jozsa algorithm and show that the number of necessary calls to the oracle is independent of the size of the domain and that the output from each run of the algorithm has immediate meaning. In doing so, we extend the types of questions that
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3

Brazier, A., and M. B. Plenio. "Broken promises and quantum algorithms." Quantum Information and Computation 5, no. 2 (2005): 131–45. http://dx.doi.org/10.26421/qic5.2-4.

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In the black-box model, problems constrained by a "promise" are the only ones that admit a quantum exponential speedup over the best classical algorithm in terms of query complexity. The most prominent example of this is the Deutsch-Jozsa algorithm. More recently, Wim van Dam put forward an algorithm for unstrucred problems (i.e., those without a promise). We consider the Deutsch-Jozsa algorithm with a less restrictive (or "broken") promise and study the transition to an unstructured problem. We compare this to the success of van Dam's algorithm. These are both compared with a standard classic
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4

Heydari, H., and G. Bjork. "Entanglement tensor for a general pure multipartite quantum state." Quantum Information and Computation 5, no. 2 (2005): 146–56. http://dx.doi.org/10.26421/qic5.2-5.

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In the black-box model, problems constrained by a `promise' are the only ones that admit a quantum exponential speedup over the best classical algorithm in terms of query complexity. The most prominent example of this is the Deutsch-Jozsa algorithm. More recently, Wim van Dam put forward an algorithm for unstructured problems (i.e., those without a promise). We consider the Deutsch-Jozsa algorithm with a less restrictive (or `broken') promise and study the transition to an unstructured problem. We compare this to the success of van Dam's algorithm. These are both compared with a standard class
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5

Paredes López, M., A. Meneses Viveros, and G. Morales-Luna. "Algoritmo cuántico de Deutsch y Jozsa en GAMA." Revista Mexicana de Física E 64, no. 2 (2018): 181. http://dx.doi.org/10.31349/revmexfise.64.181.

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An important feature of quantum computing is its inherent paralellism, allowing to process an exponential number of basic transforms with just a linear number of qubits. The Deutsch-Jozsa algorithm exemplifies the computational complexity reduction. This work reports the implementation and execution of the Deutsch-Josza quantum algoritm in GAMA, a programming language for quantum computing simulation developed by ourselves. Through this simulation, it is possible to explore all the components involved by tracing all the different configurations that each component may take.
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6

Miano, Mariana Godoy Vazquez, Lucas Gomes Pinheiro, Sthefanie Costa Amaro, and Victor Luis Rodrigues Pereira Ferreira. "COMPARAÇÃO DE DESEMPENHO DO ALGORITMO DE DEUTSCH-JOZSA NAS LINGUAGENS QUÂNTICAS SILQ E QASM." REVISTA TECNOLÓGICA DA FATEC AMERICANA 11, no. 01 (2023): 47–67. http://dx.doi.org/10.47283/244670492023110147.

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Due to the importance given to information in the last few decades, a performance and processing advantage of information becomes relevant, something that can be found through quantum computing. The Deutsch-Jozsa Algorithm is the first example of a quantum algorithm that offers an exponential advantage against classical algorithms, whether in a local environment or through cloud simulators. Seeking to explore the advantages of quantum computation, the Deutsch-Jozsa Algorithm was implemented in two quantum programming languages, namely the high level language Silq, focused on the execution of t
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7

Cheng, Kaiyang, Weixuan Zhang, Zeyong Wei, et al. "Simulate Deutsch-Jozsa algorithm with metamaterials." Optics Express 28, no. 11 (2020): 16230. http://dx.doi.org/10.1364/oe.393444.

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8

DONG, PING, XIAO-HU ZHENG, and ZHUO-LIANG CAO. "IMPLEMENTATION OF ONE-QUBIT DEUTSCH–JOZSA ALGORITHM IN A TRIPLE-WELL SEMICONDUCTOR QUANTUM DOT SYSTEM." Modern Physics Letters B 22, no. 24 (2008): 2383–89. http://dx.doi.org/10.1142/s0217984908016789.

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A physical scheme for implementing the one-qubit Deutsch–Jozsa algorithm by electronic population adiabatic transfer in a triple-well quantum dot system is proposed. The scheme is relatively insensitive to gate errors and other external noise. Furthermore, the implementation of Deutsch–Jozsa algorithm via the quantum dot system provides a good example for oracle-based solid quantum computing.
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9

ZHENG, XIAO-HU, MING YANG, PING DONG, and ZHUO-LIANG CAO. "IMPLEMENTING DEUTSCH–JOZSA ALGORITHM USING SUPERCONDUCTING QUBIT NETWORK." Modern Physics Letters B 22, no. 31 (2008): 3035–42. http://dx.doi.org/10.1142/s0217984908017540.

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An improved architecture, which performs a universal set of gates by current biasing of coupling Josephson junction, has been proposed. This improvement is necessary to the realization of a functional and scalable quantum computer. The proposed architecture is in line with current technology. Secondly, we investigate a scheme for implementing the Deutsch–Jozsa algorithm via the improved architecture. It is a simple, scalable and feasible scheme for the implementation of the Deutsch–Jozsa algorithm based on the current-controlled superconducting charge qubit network.
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10

Batty, Michael, Andrew J. Duncan, and Samuel L. Braunstein. "Extending the Promise of the Deutsch–Jozsa–Høyer Algorithm for Finite Groups." LMS Journal of Computation and Mathematics 9 (2006): 40–63. http://dx.doi.org/10.1112/s1461157000001182.

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AbstractHøyer has given a generalisation of the Deutsch–Jozsa algorithm which uses the Fourier transform on a group G which is (in general) non-Abelian. His algorithm distinguishes between functions which are either perfectly balanced (m-to-one) or constant, with certainty, and using a single quantum query. Here, we show that this algorithm (which we call the Deutsch–Jozsa–Høyer algorithm) can in fact deal with a broader range of promises, which we define in terms of the irreducible representations of G.
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11

Ping, Dong, Song Wei, and Cao Zhuo-Liang. "Implementing Deutsch–Jozsa Algorithm in Cavity QED." Communications in Theoretical Physics 46, no. 2 (2006): 241–43. http://dx.doi.org/10.1088/0253-6102/46/2/012.

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12

Nagata, Koji, Tadao Nakamura, and Ahmed Farouk. "Quantum Cryptography Based on the Deutsch-Jozsa Algorithm." International Journal of Theoretical Physics 56, no. 9 (2017): 2887–97. http://dx.doi.org/10.1007/s10773-017-3456-x.

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13

DENG, LI, AIXI CHEN, YANQIU XU, and SUYUN ZHOU. "EXTRACTION OF VALUE OF FUNCTION f(x) IN DEUTSCH ALGORITHM AND DEUTSCH–JOZSA ALGORITHM." International Journal of Quantum Information 07, no. 03 (2009): 635–43. http://dx.doi.org/10.1142/s0219749909005341.

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Deutsch algorithm or Deutsch–Jozsa algorithm only needs one query to determine whether the function f(x) is constant or balanced. That is, the global property of the function f(x) is rapidly known. But these algorithms do not give the concrete value of function f(x). For the f(x), its value is also of interest. Here we propose a scheme in which the value of function f(x) can be determined. We use an entangled state as the input state and send it into quantum black box. Through performing measurement on the output state, we can exactly determine the value of f(x). Its value plus its global prop
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14

Li, Haoyu, Ruisheng Yang, Yinan Zhang, et al. "Electrically tunable on-chip quantum Deutsch–Jozsa algorithm with lithium niobate metasurfaces." RSC Advances 14, no. 26 (2024): 18311–16. http://dx.doi.org/10.1039/d4ra02001d.

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15

Franco, Rodney. "Deutsch-Jozsa Algorithm: a look at the power of quantum computing." Reportes científicos de la FACEN 12, no. 2 (2021): 83–87. http://dx.doi.org/10.18004/rcfacen.2021.12.2.83.

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16

MAITRA, SUBHAMOY, and PARTHA MUKHOPADHYAY. "THE DEUTSCH–JOZSA ALGORITHM REVISITED IN THE DOMAIN OF CRYPTOGRAPHICALLY SIGNIFICANT BOOLEAN FUNCTIONS." International Journal of Quantum Information 03, no. 02 (2005): 359–70. http://dx.doi.org/10.1142/s0219749905000980.

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Boolean functions are important building blocks in cryptography for their wide application in both stream and block cipher systems. For cryptanalysis of such systems, one tries to find out linear functions that are correlated to the Boolean functions used in the crypto system. Let f be an n-variable Boolean function and its Walsh spectra is denoted by Wf(ω) at the point ω ∈ {0, 1}n. The Boolean function is available in the form of an oracle. We like to find a ω such that Wf(ω) ≠ 0 as this will provide one of the linear functions which are correlated to f. We show that the quantum algorithm pro
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17

Collins, David, K. W. Kim, and W. C. Holton. "Deutsch-Jozsa algorithm as a test of quantum computation." Physical Review A 58, no. 3 (1998): R1633—R1636. http://dx.doi.org/10.1103/physreva.58.r1633.

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18

Nagata, K. "Implementation of the Deutsch-Jozsa algorithm violates nonlocal realism." European Physical Journal D 56, no. 3 (2009): 441–44. http://dx.doi.org/10.1140/epjd/e2009-00303-6.

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19

Kiss, Attila, and Krisztián Varga. "Comparing two quantum oracles using the Deutsch–Jozsa algorithm." Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio computatorica, no. 50 (2020): 199–217. https://doi.org/10.71352/ac.50.199.

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20

Zidan, Mohammed, and Mahmoud Abdel-Aty. "A QUANTUM ALGORITHM BASED ON ENTANGLEMENT MEASURE FOR CLASSIFYING BOOLEAN MULTIVARIATE FUNCTION INTO NOVEL HIDDEN CLASSES REVISITED." Azerbaijan Journal of High Performance Computing 4, no. 1 (2021): 48–52. http://dx.doi.org/10.32010/26166127.2021.4.1.48.52.

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The algorithm that solves a generalized form of the Deutsch- Jozsa problem was proposed. This algorithm uses the degree of entanglement computing model to classify an arbitrary Oracle Uf to one of the 2n classes. In this paper, we will analyze this algorithm based on the degree of entanglement.
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21

ZHAN, ZHI-MING. "IMPLEMENTATION OF TWO-QUBIT DEUTSCH–JOZSA ALGORITHM WITH TRAPPED IONS." Modern Physics Letters B 23, no. 12 (2009): 1539–46. http://dx.doi.org/10.1142/s0217984909019703.

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In this paper, we propose a scheme to implement two-qubit Deutsch–Jozsa algorithm with trapped ions. The distinct advantage of the scheme lies in the fact that it does not use the vibrational mode as the data bus. The vibrational mode is only virtually excited, which makes our scheme insensitive to heating provided that the system remains in the Lamb–Dicke regime.
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22

Marinho, Eraldo Pereira. "On the Connection Between Deutsch-Jozsa Algorithm and Bent Functions." Journal of Physics: Conference Series 1730, no. 1 (2021): 012111. http://dx.doi.org/10.1088/1742-6596/1730/1/012111.

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23

Siewert, Jens, and Rosario Fazio. "Implementation of the Deutsch-Jozsa algorithm with Josephson charge qubits." Journal of Modern Optics 49, no. 8 (2002): 1245–54. http://dx.doi.org/10.1080/09500340110114902.

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24

Wagner, Rob C., and Viv M. Kendon. "The continuous-variable Deutsch–Jozsa algorithm using realistic quantum systems." Journal of Physics A: Mathematical and Theoretical 45, no. 24 (2012): 244015. http://dx.doi.org/10.1088/1751-8113/45/24/244015.

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25

Tănăsescu, Andrei, Mihai-Zicu Mina, and Pantelimon George Popescu. "Non-local quantum functions and the distributed Deutsch-Jozsa algorithm." Physics Letters A 383, no. 18 (2019): 2168–71. http://dx.doi.org/10.1016/j.physleta.2019.04.023.

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26

Xiao-Hu, Zheng, Yu Ben-Li, Zhang Gang, and Cao Zhuo-Liang. "Scheme for Implementing Refined Deutsch–Jozsa Algorithm via Superconducing Qubits." Communications in Theoretical Physics 49, no. 4 (2008): 909–12. http://dx.doi.org/10.1088/0253-6102/49/4/22.

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27

ZHAN, ZHI-MING. "SCHEME FOR IMPLEMENTING THE DEUTSCH–JOZSA ALGORITHM IN ION-TRAP SYSTEM." Modern Physics Letters B 21, no. 22 (2007): 1471–77. http://dx.doi.org/10.1142/s0217984907013924.

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We propose a scheme for implementing the Deutsch–Jozsa algorithm in ion-trap system. The scheme is based on resonant sideband excitation, which only requires resonant interactions. Thus the scheme is very simple and the quantum dynamics operation can be realized at a high speed, which is important in view of decoherence. The required experimental techniques are within the scope of what can be obtained in the ion-trap setup.
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28

Kenigsberg, D., A. Mor, and G. Ratsaby. "Quantum advantage without entanglement." Quantum Information and Computation 6, no. 7 (2006): 606–15. http://dx.doi.org/10.26421/qic6.7-4.

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We study the advantage of pure-state quantum computation without entanglement over classical computation. For the Deutsch-Jozsa algorithm we present the \emph{maximal} subproblem that can be solved without entanglement, and show that the algorithm still has an advantage over the classical ones. We further show that this subproblem is of greater significance, by proving that it contains all the Boolean functions whose quantum phase-oracle is non-entangling. For Simon's and Grover's algorithms we provide simple proofs that no non-trivial subproblems can be solved by these algorithms without enta
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29

Song, X. K. "Efficient scheme for implementing the Deutsch-Jozsa algorithm in cavity QED." Journal of Atomic and Molecular Sciences 4, no. 3 (2013): 261–68. http://dx.doi.org/10.4208/jams.061912.080112a.

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30

Nagata, Koji, and Tadao Nakamura. "The Deutsch-Jozsa Algorithm Can Be Used for Quantum Key Distribution." OALib 02, no. 08 (2015): 1–6. http://dx.doi.org/10.4236/oalib.1101798.

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31

Su, Qi-Ping, Man Liu, and Chui-Ping Yang. "Proposal for Implementing the Three-Qubit Refined Deutsch–Jozsa Quantum Algorithm." Journal of the Physical Society of Japan 82, no. 8 (2013): 084802. http://dx.doi.org/10.7566/jpsj.82.084802.

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32

Yang, Wan Li, Chang Yong Chen, Zhen Yu Xu, and Mang Feng. "Cavity QED implementation of the multi-qubit refined Deutsch–Jozsa algorithm." Journal of Physics B: Atomic, Molecular and Optical Physics 43, no. 5 (2010): 055501. http://dx.doi.org/10.1088/0953-4075/43/5/055501.

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33

Arvind, Kavita Dorai, and Anil Kumar. "Quantum entanglement in the NMR implementation of the Deutsch-Jozsa algorithm." Pramana 56, no. 5 (2001): L705—L713. http://dx.doi.org/10.1007/s12043-001-0095-8.

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34

Perez-Garcia, Benjamin, Melanie McLaren, Sandeep K. Goyal, Raul I. Hernandez-Aranda, Andrew Forbes, and Thomas Konrad. "Quantum computation with classical light: Implementation of the Deutsch–Jozsa algorithm." Physics Letters A 380, no. 22-23 (2016): 1925–31. http://dx.doi.org/10.1016/j.physleta.2016.04.006.

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35

Chi, Ma, Zhang Shi-Jun, and Ye Liu. "Scheme for Implementing Deutsch–Jozsa Algorithm Using Superconducting Quantum Interference Devices." Communications in Theoretical Physics 49, no. 2 (2008): 373–76. http://dx.doi.org/10.1088/0253-6102/49/2/26.

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36

Zhao, Jie, Xinsheng Tan, Dong Lan, et al. "Implementation of refined Deutsch-Jozsa algorithm in a superconducting qutrit system." physica status solidi (b) 254, no. 5 (2016): 1600640. http://dx.doi.org/10.1002/pssb.201600640.

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37

Choy, K., G. Passante, D. Ahrensmeier, et al. "The dynamics of entanglement in the adiabatic search and Deutsch algorithms." Canadian Journal of Physics 85, no. 10 (2007): 995–1021. http://dx.doi.org/10.1139/p07-084.

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The goal of this paper is to study the effect of entanglement on the running time of a quantum computation. Adiabatic quantum computation is suited to this kind of study, since it allows us to explicitly calculate the time evolution of the entanglement throughout the calculation. On the other hand, however, the adiabatic formalism makes it impossible to study the roles of entanglement and fidelity separately, which means that results have to be interpreted carefully. We study two algorithms: the search algorithm and the Deutsch–Jozsa algorithm. We find some evidence that entanglement can be co
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38

Liu, Ye-Chao, Jiangwei Shang, and Xiangdong Zhang. "Coherence Depletion in Quantum Algorithms." Entropy 21, no. 3 (2019): 260. http://dx.doi.org/10.3390/e21030260.

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Besides the superior efficiency compared to their classical counterparts, quantum algorithms known so far are basically task-dependent, and scarcely any common features are shared between them. In this work, however, we show that the depletion of quantum coherence turns out to be a common phenomenon in these algorithms. For all the quantum algorithms that we investigated, including Grover’s algorithm, Deutsch–Jozsa algorithm, and Shor’s algorithm, quantum coherence of the system states reduces to the minimum along with the successful execution of the respective processes. Notably, a similar co
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39

Marinho, Eraldo P. "Case study in which the Deutsch-Jozsa algorithm responds with pure states." Journal of Physics: Conference Series 1391 (November 2019): 012150. http://dx.doi.org/10.1088/1742-6596/1391/1/012150.

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40

Gulde, Stephan, Mark Riebe, Gavin P. T. Lancaster, et al. "Implementation of the Deutsch–Jozsa algorithm on an ion-trap quantum computer." Nature 421, no. 6918 (2003): 48–50. http://dx.doi.org/10.1038/nature01336.

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41

Yang, Wen-Xing, Zhe-Xuan Gong, Wei-Bin Li, and Xiao-Xue Yang. "Simple scheme for implementing the Deutsch–Jozsa algorithm in a thermal cavity." Journal of Physics A: Mathematical and Theoretical 40, no. 1 (2006): 155–61. http://dx.doi.org/10.1088/1751-8113/40/1/009.

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42

Dragoman, Daniela, and Mircea Dragoman. "Graphene-based room-temperature implementation of a modified Deutsch–Jozsa quantum algorithm." Nanotechnology 26, no. 48 (2015): 485201. http://dx.doi.org/10.1088/0957-4484/26/48/485201.

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43

Wang, Hong-Fu, Shou Zhang, and Yong-Fang Zhao. "Implementing Deutsch-Jozsa Algorithm with Superconducting Quantum Interference Devices in Cavity QED." International Journal of Theoretical Physics 48, no. 8 (2009): 2384–89. http://dx.doi.org/10.1007/s10773-009-0028-8.

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44

Su, Qi-Ping, and Chui-Ping Yang. "Circuit QED: implementation of the three-qubit refined Deutsch–Jozsa quantum algorithm." Quantum Information Processing 13, no. 12 (2014): 2769–82. http://dx.doi.org/10.1007/s11128-014-0829-4.

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45

Schuch, N., and J. Siewert. "Implementation of the Four-Bit Deutsch-Jozsa Algorithm with Josephson Charge Qubits." physica status solidi (b) 233, no. 3 (2002): 482–89. http://dx.doi.org/10.1002/1521-3951(200210)233:3<482::aid-pssb482>3.0.co;2-f.

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46

Shiba, Kodai, Chih-Chieh Chen, Masaru Sogabe, Katsuyoshi Sakamoto, and Tomah Sogabe. "Quantum-Inspired Classification Algorithm from DBSCAN–Deutsch–Jozsa Support Vectors and Ising Prediction Model." Applied Sciences 11, no. 23 (2021): 11386. http://dx.doi.org/10.3390/app112311386.

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Quantum computing is suggested as a new tool to deal with large data set for machine learning applications. However, many quantum algorithms are too expensive to fit into the small-scale quantum hardware available today and the loading of big classical data into small quantum memory is still an unsolved obstacle. These difficulties lead to the study of quantum-inspired techniques using classical computation. In this work, we propose a new classification method based on support vectors from a DBSCAN–Deutsch–Jozsa ranking and an Ising prediction model. The proposed algorithm has an advantage ove
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47

Rong-Can, Yang, Li Hong-Cai, Lin Xiu, and Chen Mei-Xiang. "Implementing the Deutsch–Jozsa algorithm by using Schrödinger cat states in cavity QED." Chinese Physics 15, no. 10 (2006): 2320–23. http://dx.doi.org/10.1088/1009-1963/15/10/021.

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48

Hong-Fu, Wang, and Zhang Shou. "Implementation of n -qubit Deutsch–Jozsa algorithm using resonant interaction in cavity QED." Chinese Physics B 17, no. 4 (2008): 1165–73. http://dx.doi.org/10.1088/1674-1056/17/4/003.

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49

Zhi-Ming, Zhan. "Implementation of Deutsch–Jozsa Algorithm with Superconducting Quantum-Interference Devices via Raman Transition." Communications in Theoretical Physics 51, no. 1 (2009): 135–38. http://dx.doi.org/10.1088/0253-6102/51/1/26.

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50

Ermakov, Vladimir L., and B. M. Fung. "Nuclear magnetic resonance implementation of the Deutsch–Jozsa algorithm using different initial states." Journal of Chemical Physics 118, no. 23 (2003): 10376–81. http://dx.doi.org/10.1063/1.1574802.

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