Generation of cluster states

Dong, Peng; Xue, Zheng‐Yuan; Yang, Ming; Cao, Zhuo‐Liang

doi:10.1103/physreva.73.033818

Cited by 126 publications

(51 citation statements)

References 32 publications

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“…The lifetime of the qubit memory for an optical lattice spin wave has reached 3 ms [34]. QIP schemes based on atomic ensembles such as entanglement swapping [32], the multipartite entanglement of atomic ensembles [33,37], and the controlled-NOT gate [37] have been proposed. In these proposed schemes, the memory qubits may be encoded in two orthogonal spin waves, and single-bit operations are required.…”

Section: Coherent Manipulation Of Spin Wave Vector For Polarization Omentioning

confidence: 99%

Quantum storage of optical signals and coherent manipulation of quantum states based on electromagnetically induced transparency

2012

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Electromagnetically induced transparency (EIT) techniques are important tools for the storage of the quantum states of light fields in atomic ensembles and for enhancement of the interaction between photons. In this paper, we briefly summarize the recent experimental studies conducted by our group on enhanced cross-phase modulation based on double EIT effects, the quantum interference of stored dual-channel spin-wave excitations and the coherent manipulation of the spin wave vector for the polarization of photons in a single tripod atomic system. The work presented here has potential application in the developing field of quantum information processing. Photons travel fast and are insensitive to the surrounding environment, thus they are often used as carriers of information. However, photons are difficult to trap and store, and the interactions between them are quite weak, which prevent their use in some applications in quantum information processing (QIP). In recent years, electromagnetically induced transparency (EIT) and its related effects have been studied in depth both theoretically and experimentally [1,2]. These studies have shown that EIT effects in three-level or multi-level atomic systems can be applied to significantly reduce the group velocity of light, to trap and store photons using an atomic ensemble and to greatly enhance the optical cross-Kerr nonlinearity. The typical EIT effects can be demonstrated using a three-level -type atomic system, as shown in Figure 1, in which a strong coupling laser beam couples to the atomic transition from the s state to the e state and a weak probe beam couples to the atomic transition from the g state to the e state. Under these conditions, the coherent superposition states s and g are produced and a transparency window for the probe beam appears at a two-photon resonance (Figure 2). This effect is called electromagnetically induced transparency (EIT) or dark resonance [2].Based on the EIT dynamic process, the quantum states of light have been stored successfully in atomic ensembles [3,4]. Recent studies show that EIT and its related effects are important tools in QIP [5][6][7][8][9]. Also, EIT effects can be

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Section: Coherent Manipulation Of Spin Wave Vector For Polarization Omentioning

confidence: 99%

Quantum storage of optical signals and coherent manipulation of quantum states based on electromagnetically induced transparency

2012

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“…The entangled state can show very special properties when the number of particles is greater than 3-the persistency of entanglement and maximum connectedness. The cluster states have the properties of GHZ states and W entangled states and are more difficult to be destroyed by local operations than GHZ states [14]. Many scholars have proposed using cluster states as quantum channels to realize QT.…”

Section: Introductionmentioning

confidence: 99%

Probabilistic Quantum Teleportation of Four-particle Cluster State

Zhang¹,

Zhang²,

Wang³

2018

dtcse

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Abstract. In this paper, four non-maximal Bell states are used as quantum channel to complete the probabilistic teleportation of four-particle cluster states. In the process, four Bell measurements are performed by the sender. Then a local Pauli operation is executed by the receiver according to the sender's measurement results. An auxiliary qubit is introduced and a special unitary transformation is implemented. Finally the probabilistic teleportation can be achieved by the receiver after measurement on the auxiliary qubit.

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“…The main difficulty lies in generating an arbitrary 2D cluster state. Proposed schemes of generating cluster states using Cavity QED methods [11][12][13][14] are difficult for practical and scalable experiments either due to the decoherence of the cavity field mode or due to the sensitivity of thermal field. Besides, most of the schemes are mainly focused on linear cluster state prepared in one dimension, which are not suitable for use as substrate for quantum computation since one-way quantum computing based on 1D cluster state can be efficiently simulated by classical computer [15,16] and most proposals for generating 2D cluster state are inefficient, as they first need to generate several 1D cluster states and then collide them into a 2D configuration.…”

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confidence: 99%

Efficient Scheme for One-Way Quantum Computing in Thermal Cavities

Yang

Gong

2008

Int J Theor Phys

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We propose a practical scheme for one-way quantum computing based on efficient generation of 2D cluster state in thermal cavities. We achieve a controlled-phase gate that is neither sensitive to cavity decay nor to thermal field by adding a strong classical field to the two-level atoms. We show that a 2D cluster state can be generated directly by making every two atoms collide in an array of cavities, with numerically calculated parameters and appropriate operation sequence that can be easily achieved in practical Cavity QED experiments. Based on a generated cluster state in Box (4) configuration, we then implement Grover's search algorithm for four database elements in a very simple way as an example of one-way quantum computing.Keywords Cluster state · Quantum computation · Cavity QED Over the past few years, the construction of a practical quantum computer has become a challenging goal for experimentalists. It is well known that the building blocks of a general quantum computer are single-qubit rotations and two-qubit quantum gates [1]. Recently, Briegel and Raussendorf [2,3] proposed a new idea for constructing quantum computer, known as one-way quantum computing, which shows that preparation of a particular entangled state, called cluster state, accompanied with local single qubit measurements, is sufficient for simulating any arbitrary quantum logic operations. Cluster state as a universal resource for general quantum computing has drawn extensive research interests [4][5][6][7][8]. Moreover, one way quantum computing by optical elements based on four-qubit cluster states was recently demonstrated experimentally [9]. It is hoped that experimental difficulties in performing complex quantum gates may be overcome by one-way quantum computing based on the generation of cluster state.

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Generation of cluster states

Cited by 126 publications

References 32 publications

Quantum storage of optical signals and coherent manipulation of quantum states based on electromagnetically induced transparency

Quantum storage of optical signals and coherent manipulation of quantum states based on electromagnetically induced transparency

Probabilistic Quantum Teleportation of Four-particle Cluster State

Efficient Scheme for One-Way Quantum Computing in Thermal Cavities

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