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1

SHANG-GUAN, LI-YING, HONG-XIANG SUN, XIU-BO CHEN, HENG-YUE JIA, QIAO-YAN WEN, and FU-CHEN ZHU. "PERFECT TELEPORTATION, SUPERDENSE CODING VIA A KIND OF W-CLASS STATE." International Journal of Quantum Information 08, no. 08 (December 2010): 1411–20. http://dx.doi.org/10.1142/s0219749910006964.

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Perfect teleportation and superdense coding are discussed via a special kind of W-state. It is shown that the state can be used for perfect teleportation of the state x|0〉⊗N + y|1〉⊗N. And the state can be utilized for superdense coding. Moreover, it is demonstrated that the sender can transmit N classical bits to the receiver by sending N − 1 qubits.
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2

Abeyesinghe, A., P. Hayden, G. Smith, and A. J. Winter. "Optimal Superdense Coding of Entangled States." IEEE Transactions on Information Theory 52, no. 8 (August 2006): 3635–41. http://dx.doi.org/10.1109/tit.2006.878174.

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3

Yang, Wei, Liusheng Huang, An Liu, Miaomiao Tian, and Haibo Miao. "Quantum–classical hybrid quantum superdense coding." Physica Scripta 88, no. 1 (June 25, 2013): 015009. http://dx.doi.org/10.1088/0031-8949/88/01/015009.

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4

Tao, Qin, Feng Mang, and Gao Ke-Lin. "Superdense Coding via Hot Trapped Ions." Communications in Theoretical Physics 41, no. 6 (June 15, 2004): 871–74. http://dx.doi.org/10.1088/0253-6102/41/6/871.

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5

Dunningham, Jacob A. "Superdense coding with single-particle entanglement." Journal of Russian Laser Research 30, no. 5 (September 2009): 427–34. http://dx.doi.org/10.1007/s10946-009-9101-2.

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6

Zhao, Rui-Tong, Qi Guo, Li Chen, Hong-Fu Wang, and Shou Zhang. "Quantum superdense coding based on hyperentanglement." Chinese Physics B 21, no. 8 (August 2012): 080303. http://dx.doi.org/10.1088/1674-1056/21/8/080303.

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7

Farahmand, Mehrnoosh, Hosein Mohammadzadeh, Hossein Mehri-Dehnavi, and Robabeh Rahimi. "Superdense Coding with Uniformly Accelerated Particle." International Journal of Theoretical Physics 56, no. 3 (December 12, 2016): 706–19. http://dx.doi.org/10.1007/s10773-016-3212-7.

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8

Zhou, You-Sheng, Feng Wang, and Ming-Xing Luo. "Efficient Superdense Coding with W States." International Journal of Theoretical Physics 57, no. 7 (March 20, 2018): 1935–41. http://dx.doi.org/10.1007/s10773-018-3718-2.

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9

Li, Yan–Ling, Dong–Mei Wei, Chuan–Jin Zu, and Xing Xiao. "Enhanced Superdense Coding Over Correlated Amplitude Damping Channel." Entropy 21, no. 6 (June 16, 2019): 598. http://dx.doi.org/10.3390/e21060598.

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Quantum channels with correlated effects are realistic scenarios for the study of noisy quantum communication when the channels are consecutively used. In this paper, superdense coding is reexamined under a correlated amplitude damping (CAD) channel. Two techniques named as weak measurement and environment-assisted measurement are utilized to enhance the capacity of superdense coding. The results show that both of them enable us to battle against the CAD decoherence and improve the capacity with a certain probability. Remarkably, the scheme of environment-assisted measurement always outperforms the scheme of weak measurement in both improving the capacity and successful probability. These notable superiorities could be attributed to the fact that environment-assisted measurement can extract additional information from the environment and thus it performs much better.
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10

Guo-Zhu, Pan, Yang Ming, and Cao Zhuo-Liang. "Quantum superdense coding via cavity-assisted interactions." Chinese Physics B 18, no. 6 (June 2009): 2319–23. http://dx.doi.org/10.1088/1674-1056/18/6/034.

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11

PAVIČIĆ, MLADEN. "ENTANGLEMENT AND SUPERDENSE CODING WITH LINEAR OPTICS." International Journal of Quantum Information 09, no. 07n08 (October 2011): 1737–44. http://dx.doi.org/10.1142/s0219749911008222.

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We discuss a scheme for a full superdense coding of entangled photon states employing only linear optics elements. By using the mixed basis consisting of four states that are unambiguously distinguishable by a standard and polarizing beam splitters we can deterministically transfer four messages by manipulating just one of the two entangled photons. The sender achieves the determinism of the transfer either by giving up the control over 50% of sent messages (although known to her) or by discarding 33% of incoming photons.
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12

Pavičić, Mladen. "Deterministic mediated superdense coding with linear optics." Physics Letters A 380, no. 7-8 (February 2016): 848–55. http://dx.doi.org/10.1016/j.physleta.2015.12.037.

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13

Farahmand, Mehrnoosh, and Hosein Mohammadzadeh. "Challenges of Superdense Coding with Accelerated Fermions." Universal Journal of Physics and Application 11, no. 5 (October 2017): 139–43. http://dx.doi.org/10.13189/ujpa.2017.110501.

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14

Rahimi, Robabeh, Kazuyuki Takeda, Masanao Ozawa, and Masahiro Kitagawa. "Entanglement witness derived from NMR superdense coding." Journal of Physics A: Mathematical and General 39, no. 9 (February 15, 2006): 2151–59. http://dx.doi.org/10.1088/0305-4470/39/9/011.

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15

Timchenko, Bogdan A., Maria P. Faleeva, Pavel A. Gilev, Irina V. Blinova, and Igor Yu Popov. "Atmospheric implementation of superdense coding quantum algorithm." Physics of Complex Systems 3, no. 4 (2022): 186–201. http://dx.doi.org/10.33910/2687-153x-2022-3-4-186-201.

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16

Imre, Sándor. "Modified quantum superdense coding for distributed communications." International Journal of Communication Systems 29, no. 2 (July 25, 2014): 417–23. http://dx.doi.org/10.1002/dac.2841.

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17

WANG, XIN, YI-MIN LIU, LIAN-FANG HAN, and ZHAN-JUN ZHANG. "MULTIPARTY QUANTUM SECRET SHARING OF SECURE DIRECT COMMUNICATION WITH HIGH-DIMENSIONAL QUANTUM SUPERDENSE CODING." International Journal of Quantum Information 06, no. 06 (December 2008): 1155–63. http://dx.doi.org/10.1142/s0219749908004341.

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The first protocol of multiparty quantum secret sharing of secure direct communication [Phys. Lett. A342 (2005) 60] is generalized to the high-dimensional case via quantum superdense coding. The generalized protocol has the advantages of higher capacity and better security.
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18

WEI, Daxiu. "NMR experimental implementation of three-parties quantum superdense coding." Chinese Science Bulletin 49, no. 5 (2004): 423. http://dx.doi.org/10.1360/03ww0149.

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19

Huai-Zhi, Wu, Yang Zhen-Biao, and Zheng Shi-Biao. "Quantum Teleportation and Superdense Coding via W-Class States." Communications in Theoretical Physics 49, no. 4 (April 2008): 901–4. http://dx.doi.org/10.1088/0253-6102/49/4/20.

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20

Wei, Daxiu, Xiaodong Yang, Jun Luo, Xianping Sun, Xizhi Zeng, and Maili Liu. "NMR experimental implementation of three-parties quantum superdense coding." Chinese Science Bulletin 49, no. 5 (March 2004): 423–26. http://dx.doi.org/10.1007/bf02900957.

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21

Chakrabarty, Indranil, Pankaj Agrawal, and Arun K. Pati. "Locally unextendible non-maximally entangled basis." Quantum Information and Computation 12, no. 3&4 (March 2012): 271–82. http://dx.doi.org/10.26421/qic12.3-4-7.

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We introduce the concept of the locally unextendible non-maximally entangled basis (LUNMEB) in H^d \bigotimes H^d. It is shown that such a basis consists of d orthogonal vectors for a non-maximally entangled state. However, there can be a maximum of (d-1)^2 orthogonal vectors for non-maximally entangled state if it is maximally entangled in (d-1) dimensional subspace. Such a basis plays an important role in determining the number of classical bits that one can send in a superdense coding protocol using a non-maximally entangled state as a resource. By constructing appropriate POVM operators, we find that the number of classical bits one can transmit using a non-maximally entangled state as a resource is (1+p_0\frac{d}{d-1})\log d, where p_0 is the smallest Schmidt coefficient. However, when the state is maximally entangled in its subspace then one can send up to 2\log (d-1) bits. We also find that for d= 3, former may be more suitable for the superdense coding.
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22

Barreiro, Julio T., Tzu-Chieh Wei, and Paul G. Kwiat. "Beating the channel capacity limit for linear photonic superdense coding." Nature Physics 4, no. 4 (March 23, 2008): 282–86. http://dx.doi.org/10.1038/nphys919.

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23

Bin, Gu, Li Chuan-Qi, Xu Fei, and Chen Yu-Lin. "High-capacity three-party quantum secret sharing with superdense coding." Chinese Physics B 18, no. 11 (November 2009): 4690–94. http://dx.doi.org/10.1088/1674-1056/18/11/013.

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24

Gün, Ahmet, and Azmi Gençten. "Quantum Superdense Coding for Three and Four-Qubit Entangled States." Advanced Science, Engineering and Medicine 5, no. 11 (November 1, 2013): 1209–15. http://dx.doi.org/10.1166/asem.2013.1364.

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25

Lin, Qing, Jian Li, and Guang Can Guo. "Experimental proposal of probabilistic superdense coding with linear optical elements." Journal of Physics B: Atomic, Molecular and Optical Physics 39, no. 17 (August 29, 2006): 3649–54. http://dx.doi.org/10.1088/0953-4075/39/17/020.

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26

Wu, Qiong, and Ming Yang. "Quantum Superdense Coding Based on Coherent States in Cavity QED." International Journal of Theoretical Physics 47, no. 12 (April 23, 2008): 3139–43. http://dx.doi.org/10.1007/s10773-008-9747-5.

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27

Liu, Bi-Heng, Xiao-Min Hu, Yun-Feng Huang, Chuan-Feng Li, Guang-Can Guo, Antti Karlsson, Elsi-Mari Laine, Sabrina Maniscalco, Chiara Macchiavello, and Jyrki Piilo. "Efficient superdense coding in the presence of non-Markovian noise." EPL (Europhysics Letters) 114, no. 1 (April 1, 2016): 10005. http://dx.doi.org/10.1209/0295-5075/114/10005.

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28

Domínguez-Serna, Francisco, and Fernando Rojas. "Quantum control using genetic algorithms in quantum communication: superdense coding." Journal of Physics: Conference Series 624 (June 26, 2015): 012009. http://dx.doi.org/10.1088/1742-6596/624/1/012009.

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29

Da-Zu, Huang, Guo Ying, and Zeng Gui-Hua. "Quantum Secure Direct Intercommunication with Superdense Coding and Entanglement Swapping." Communications in Theoretical Physics 50, no. 6 (December 2008): 1290–94. http://dx.doi.org/10.1088/0253-6102/50/6/08.

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30

Huang, Yi-Bin, and Guo-Gui Chen. "Superdense Coding with Multi-particle GHZ State via Local Measurement." International Journal of Theoretical Physics 51, no. 6 (February 10, 2012): 1970–77. http://dx.doi.org/10.1007/s10773-012-1075-0.

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31

Niu, Xu-Feng, Wen-Ping Ma, Bu-Qing Chen, Ge Liu, and Qi-Zheng Wang. "A Quantum Proxy Blind Signature Scheme Based on Superdense Coding." International Journal of Theoretical Physics 59, no. 4 (January 28, 2020): 1121–28. http://dx.doi.org/10.1007/s10773-020-04393-5.

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32

RAHIMI, ROBABEH, KAZUNOBU SATO, KOU FURUKAWA, KAZUO TOYOTA, DAISUKE SHIOMI, TOSHIHIRO NAKAMURA, MASAHIRO KITAGAWA, and TAKEJI TAKUI. "PULSED ENDOR-BASED QUANTUM INFORMATION PROCESSING." International Journal of Quantum Information 03, supp01 (November 2005): 197–204. http://dx.doi.org/10.1142/s0219749905001377.

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Pulsed Electron Nuclear DOuble Resonance (pulsed ENDOR) has been studied for realization of quantum algorithms, emphasizing the implementation of organic molecular entities with an electron spin and a nuclear spin for quantum information processing. The scheme has been examined in terms of quantum information processing. Particularly, superdense coding has been implemented from the experimental side and the preliminary results are represented as theoretical expectations.
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33

HUANG Ping-Wu, 黄平武, 周萍 ZHOU Ping, 农亮勤 NONG Liang-Qin, 何良明 HE Liang-min, and 尹彩流 YIN Cai-Liu. "Quantum Superdense Coding Scheme Based on High-dimensional Two-particles System." ACTA PHOTONICA SINICA 40, no. 5 (2011): 780–84. http://dx.doi.org/10.3788/gzxb20114005.0780.

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34

Deng, Fu-Guo, Xi-Han Li, Chun-Yan Li, Ping Zhou, and Hong-Yu Zhou. "Quantum secure direct communication network with superdense coding and decoy photons." Physica Scripta 76, no. 1 (June 1, 2007): 25–30. http://dx.doi.org/10.1088/0031-8949/76/1/005.

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35

QIU, DAOWEN. "A SUFFICIENT AND NECESSARY CONDITION FOR SUPERDENSE CODING OF QUANTUM STATES." International Journal of Quantum Information 06, no. 05 (October 2008): 1115–25. http://dx.doi.org/10.1142/s0219749908004298.

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Recently, Harrow et al. [Phys. Rev. Lett.92 (2004) 187901] gave a method for preparing an arbitrary quantum state with high success probability by physically transmitting some qubits, and by consuming a maximally entangled state, together with exhausting some shared random bits. In this paper, we discover that some states are impossible to be perfectly prepared by Alice and Bob initially sharing some entangled states. In particular, we present a sufficient and necessary condition for the states being enabled to be exactly prepared with probability equal to unity, in terms of the initial entangled states (maybe nonmaximally). In contrast, if the initially shared entanglement is maximal, then the probabilities for preparing these quantum states are smaller than unity. Furthermore, the lower bound on the probability for preparing some states are derived.
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36

Barreiro, Julio T., Tzu-Chieh Wei, and Paul G. Kwiat. "Erratum: Beating the channel capacity limit for linear photonic superdense coding." Nature Physics 4, no. 8 (August 2008): 662. http://dx.doi.org/10.1038/nphys1039.

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37

Zhang, Zhi-hua, Lan Shu, and Zhi-wen Mo. "Quantum teleportation and superdense coding through the composite W-Bell channel." Quantum Information Processing 12, no. 5 (November 7, 2012): 1957–67. http://dx.doi.org/10.1007/s11128-012-0504-6.

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38

Hu, Xiao-Min, Yu Guo, Bi-Heng Liu, Yun-Feng Huang, Chuan-Feng Li, and Guang-Can Guo. "Beating the channel capacity limit for superdense coding with entangled ququarts." Science Advances 4, no. 7 (July 2018): eaat9304. http://dx.doi.org/10.1126/sciadv.aat9304.

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39

Qing, Lin. "The generation of Entangled Qudits and their Application in Probabilistic Superdense Coding." Chinese Physics Letters 26, no. 4 (March 31, 2009): 040301. http://dx.doi.org/10.1088/0256-307x/26/4/040301.

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40

ZHOU Rui, 周锐, 朱玉兰 ZHU Yu-lan, and 聂义友 NIE Yi-you. "One-way Communication Scheme Based on Superdense Coding of Four Dimension Two Particles." ACTA PHOTONICA SINICA 39, no. 1 (2010): 156–59. http://dx.doi.org/10.3788/gzxb20103901.0156.

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41

Jun, Jin Woo. "Squeezing Effect on the Superdense Coding through aGeneralized Amplitude Damping Multi-Qubit Channel." Journal of the Korean Physical Society 56, no. 1 (January 15, 2010): 10–14. http://dx.doi.org/10.3938/jkps.56.10.

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42

Jia, Tan, and Fang Mao-Fa. "Protocol for multi-party superdense coding by using multi-atom in cavity QED." Chinese Physics 15, no. 8 (July 26, 2006): 1695–99. http://dx.doi.org/10.1088/1009-1963/15/8/010.

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43

Li, Ke, Fan-Zhen Kong, Ming Yang, Fatih Ozaydin, Qing Yang, and Zhuo-Liang Cao. "Generating multi-photon W-like states for perfect quantum teleportation and superdense coding." Quantum Information Processing 15, no. 8 (May 6, 2016): 3137–50. http://dx.doi.org/10.1007/s11128-016-1332-x.

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44

Chen, J. X., and M. S. Ying. "Ancilla-assisted discrimination of quantum gates." Quantum Information and Computation 10, no. 1&2 (January 2010): 160–77. http://dx.doi.org/10.26421/qic10.1-2-12.

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The intrinsic idea of superdense coding is to find as many gates as possible such that they can be perfectly discriminated. In this paper, we consider a basic scheme of discrimination of quantum gates, called ancilla-assisted discrimination, in which a set of quantum gates on a d-dimensional system are perfectly discriminated with assistance from an r-dimensional ancilla system. The main contribution of the present paper is two-fold: (1) The number of quantum gates that can be discriminated in this scheme is evaluated. We prove that any rd+1 quantum gates cannot be perfectly discriminated with assistance from the ancilla, and there exist rd quantum gates which can be perfectly discriminated with assistance from the ancilla. (2) The dimensionality of the minimal ancilla system is estimated. We prove that there exists a constant positive number c such that for any k\leq cr quantum gates, if they are d-assisted discriminable, then they are also r-assisted discriminable, and there are c^{\prime}rc^{\prime}>c different quantum gates which can be discriminated with a d-dimensional ancilla, but they cannot be discriminated if the ancilla is reduced to an r-dimensional system. Thus, the order O(r) of the number of quantum gates that can be discriminated with assistance from an r-dimensional ancilla is optimal. The results reported in this paper represent a preliminary step toward understanding the role ancilla system plays in discrimination of quantum gates as well as the power and limit of superdense coding.
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45

Adhikari, Satyabrata, Indranil Chakrabarty, and Pankaj Agrawal. "Probabilistic secret sharing through noise quantum channe." Quantum Information and Computation 12, no. 3&4 (March 2012): 253–61. http://dx.doi.org/10.26421/qic12.3-4-5.

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In a realistic situation, the secret sharing of classical or quantum information will involve the transmission of this information through noisy channels. We consider a three qubit pure state. This state becomes a mixed-state when the qubits are distributed over noisy channels. We focus on a specific noisy channel, the phase-damping channel. We propose a protocol for secret sharing of classical information with this and related noisy channels. This protocol can also be thought of as cooperative superdense coding. We also discuss other noisy channels to examine the possibility of secret sharing of classical information.
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46

Poyraz Kocak, Yasemin, and Selcuk Sevgen. "Superdense Coding, Teleportation Algorithms, and Bell’s Inequality Test in Qiskit and IBM Circuit Composer." Electrica 22, no. 2 (June 6, 2022): 120–31. http://dx.doi.org/10.54614/electrica.2022.22021.

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47

Hillebrand, Anne. "Superdense Coding with GHZ and Quantum Key Distribution with W in the ZX-calculus." Electronic Proceedings in Theoretical Computer Science 95 (October 1, 2012): 103–21. http://dx.doi.org/10.4204/eptcs.95.10.

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48

Li, Lvzhou, and Daowen Qiu. "The states of W-class as shared resources for perfect teleportation and superdense coding." Journal of Physics A: Mathematical and Theoretical 40, no. 35 (August 14, 2007): 10871–85. http://dx.doi.org/10.1088/1751-8113/40/35/010.

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49

Bédard, Charles Alexandre. "The ABC of Deutsch–Hayden Descriptors." Quantum Reports 3, no. 2 (April 27, 2021): 272–85. http://dx.doi.org/10.3390/quantum3020017.

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It has been more than 20 years since Deutsch and Hayden proved the locality of quantum theory, using the Heisenberg picture of quantum computational networks. Of course, locality holds even in the face of entanglement and Bell’s theorem. Today, most researchers in quantum foundations are still convinced not only that a local description of quantum systems has not yet been provided, but that it cannot exist. The main goal of this paper is to address this misconception by re-explaining the descriptor formalism in a hopefully accessible and self-contained way. It is a step-by-step guide to how and why descriptors work. Finally, superdense coding is revisited in the light of descriptors.
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50

WANG, XIN-WEN. "PREPARATION AND MANIPULATION OF W-CLASS ENTANGLED STATES: APPLICATIONS TO QUANTUM-INFORMATION PROCESSING." International Journal of Quantum Information 07, no. 02 (March 2009): 493–504. http://dx.doi.org/10.1142/s0219749909004633.

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We propose a cavity-quantum-electrodynamics scheme for one-step generation of the special configuration of W-class state [Formula: see text] which can implement deterministic teleportation, superdense coding, quantum-information splitting, and phase-covariant telecloning. We also present a method for one-step realization of a nontrivial unitary transformation [Formula: see text] which can transform a standard W state into a fully separable state. The [Formula: see text] operation plays a key role in recently proposed quantum-information processing tasks. Both the schemes are robust against decoherence. In addition, they can endure the error of controlling the interaction time between atoms and cavity. Our ideas can also be generalized to other systems.
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