Teleportation of an arbitrary two-qudit state based on the non-maximally four-qudit cluster state

Tian, Decheng; Tao, Yong; Qin, Meng

doi:10.1007/s11433-008-0149-8

Cited by 34 publications

(7 citation statements)

References 19 publications

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“…Cluster states of photons are excellent candidates for the one-way quantum computation because of the fast and easy implementation for single-qubit operations on photons, and also because photonic qubits have negligible decoherence. Recent domestic reports show cluster states can be availed in quantum teleportation [18] and Quantum secure direct communication [19].…”

Section: Introductionmentioning

confidence: 99%

Efficient preparation of a four-photon cluster state with homodyne measurement via cross-Kerr nonlinearity

Zhao

Liu

2011

Sci. China Phys. Mech. Astron.

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A scheme is proposed for generating a multiphoton entangled cluster state among four modes. The scheme only uses Kerr medium, beam splitter and homodyne measurements on coherent light fields, which can be efficiently made in quantum optical laboratories. The photon in the signal mode is prepared in a superposition state of the vacuum state and one-photon state while the probe beam is initially set in a coherent state superposition. The strong probe mode interacts successively with multiple signal-mode photons, each causing a conditional phase rotation in the probe mode. Subsequent momentum quadrature homodyne measurement of the probe mode will project the photons in the signal mode into the desired entangled states. It is shown that under certain conditions, the four-photon cluster state can be generated with high fidelity and high success probability, and the scheme is feasible by current experimental technology. cluster state, cross-Kerr nonlinearity, homodyne measurement, entanglement

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Section: Introductionmentioning

confidence: 99%

Efficient preparation of a four-photon cluster state with homodyne measurement via cross-Kerr nonlinearity

Zhao

Liu

2011

Sci. China Phys. Mech. Astron.

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“…Since then, quantum teleportation has undergone great development [10][11][12][13][14][15][16][17][18][19][20][21][22][23] and has been experimentally demonstrated by several groups [24][25][26][27]. It has also been generalized to a more general situation, where two parties may start not with a set of pure entangled states, but with a noisy quantum channel.…”

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confidence: 99%

Probabilistic teleportation via a non-maximally entangled GHZ state

Yan

2010

Chin. Sci. Bull.

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We present a scheme for probabilistic teleportation via a non-maximally entangled GHZ state. Quantum teleportation will succeed with a calculable probability. The teleportation process requires the sender to make a generalized Bell state measurement, the cooperator to perform a generalized X basis measurement, and the receiver to perform a collective unitary transformation and to make a measurement on an auxiliary particle. The success probability of the teleportation is given. We also obtain the maximum of the success probability of the teleportation. probabilistic teleportation, non-maximally entangled GHZ state, generalized measurement, success probability Citation: Yan F L, Yan T. Probabilistic teleportation via a non-maximally entangled GHZ state. Chinese Sci Bull, 2010, 55: 902−906, Quantum teleportation, which allows the transportation of an unknown state from a sender Alice to a spatially distant receiver Bob with the aid of classical communication and a previously shared entanglement is regarded as one of the most striking results of quantum information theory [1], and has played an important role in the development of quantum computation and quantum communication [2-9]. The original protocol of Bennett et al. [2]involved the teleportation of an arbitrary state of a qubit via an Einstein-Podolsky-Rosen (EPR) pair with the transmission of two bits of classical information from Alice to Bob. Here Alice knows neither the state to be teleported nor the location of the intended receiver, Bob. Bennett et al. also presented a protocol for teleporting an unknown state of a qubit by using a maximally entangled state in d×d dimensional Hilbert space and by sending 2log 2 d bits of classical information.Since then, quantum teleportation has undergone great development [10-23] and has been experimentally demonstrated by several groups [24][25][26][27]. It has also been generalized to a more general situation, where two parties may start not with a set of pure entangled states, but with a noisy quantum channel. In order to arrive at their goal of transmitting an unknown quantum state over this noisy quantum channel, they can, in principle, use an error correcting code [28], or alternatively they can share the entanglement through this noisy channel and then subsequently use teleportation [29].Quantum teleportation is also possible for infinite dimensional Hilbert spaces, for example in position-momentum space with continuously variable states. This is an example of what is known as continuously variable quantum teleportation [10][11][12].Somewhat later, Karlsson and Bourennane put forward the so-called controlled quantum teleportation protocol [14][15][16][17][18][19]. In this protocol, one can perfectly transport an unknown state from one place to another via a previously shared Greenberger-Horne-Zeilinger (GHZ) state using local operations and classical communications under the control of a third party. The signal state cannot be transmitted unless the third party gives permission. Controlled quantum teleportation ...

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“…There have been many proposals to use multi-valued quantum system to implement the quantum information processes, such as quantum cryptography [6,7], quantum teleportation [8][9][10] and direct communication [11], quantum dense coding [12,13] and computation [14,15]. Three level quantum systems, so-called qutrits, are the simplest multi-valued quantum systems.…”

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confidence: 99%

Controllability of spin 1 systems and realization of ternary SWAP gate in two spin 1 systems coupled with Ising interaction

Wang

Wei

2010

Sci. China Phys. Mech. Astron.

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In this paper, we investigate the controllability of spin 1 systems and the realization of ternary gates. Using dipole and quadrupole operators as the orthogonal basis of su(3) algebra, we discuss the controllability of one spin 1 systems and offer the concept of a complete set of control operators first. Then we present the controllability of two spin 1 systems coupled with Ising interaction and the transforming relations of the drift process of the system. Finally the specific realization of the ternary SWAP gate in these systems is discussed. It takes 9 drift processes and 25 basic control processes. controllability, spin 1 system, ternary SWAP gate, Ising interaction PACS: 03.67.Lx, 03.65.Fd, 75.10.Pq The realization of quantum information [1,2] requires the accurate control over quantum states. The control of quantum systems has a long history, dating back to the early 1980s. Huang et al. [3] studied the controllability of quantum systems. Ong et al. [4] studied the reversibility of linear quantum systems, and Clark et al.[5] studied the observability of the quantum system. The active control over quantum states renders it necessary to decompose the time evolution unitary matrix of the system into products of several realizable matrices.In recent years, the high dimension quantum information processing has become a hot research topic. There have been many proposals to use multi-valued quantum system to implement the quantum information processes, such as quantum cryptography [6,7], quantum teleportation [8-10] and direct communication [11], quantum dense coding [12,13] and computation [14,15]. Three level quantum systems, so-called qutrits, are the simplest multi-valued quantum systems. The preparation of 2-qutirt entangled states is discussed in ref.[16], the orbit classification of qutrit states is discussed in ref. [17], and the bang-bang control of 3-level atom is studied in ref. [18]. Spin 1's are a very common example of three level systems. The three level systems can also be considered pseudo spin 1's. The controllability of two coupled spin 1's with Heisenberg interaction is discussed in ref. [19]. Decomposition of matrix are crucial in implementing and optimizing quantum gates. In ref.[20], a 2-qutrit logic gate is resolved into four 1-qutrit quantum multiplexers and three 1-qutrit uniformly controlled rotations acting on the first qutrit. But the realization of these two basic components needs studies further. A Cartan decomposition [21,22] for two qutrit systems is discussed in ref. [23]. Based on this decomposition, the realization of the ternary SWAP gate and the ternary SWAP gate in a bipartite 3-level system with quasi-Ising interaction is investigated specifically in ref. [24]. But the Ising interaction is more realistic than the quasi-Ising interaction. Using dipole and quadrupole operators as the orthogonal basis of su(3) algebra, another Cartan decomposition of matrix is given for two coupled spin 1's system in ref. [25]. This paper aims to study the controllability of spin 1 systems and ...

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Teleportation of an arbitrary two-qudit state based on the non-maximally four-qudit cluster state

Cited by 34 publications

References 19 publications

Efficient preparation of a four-photon cluster state with homodyne measurement via cross-Kerr nonlinearity

Efficient preparation of a four-photon cluster state with homodyne measurement via cross-Kerr nonlinearity

Probabilistic teleportation via a non-maximally entangled GHZ state

Controllability of spin 1 systems and realization of ternary SWAP gate in two spin 1 systems coupled with Ising interaction

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