Hyper-parallel nonlocal CNOT operation with hyperentanglement assisted by cross-Kerr nonlinearity

Zhou, Ping; Lv, Lili

doi:10.1038/s41598-019-52173-x

Cited by 10 publications

(6 citation statements)

References 80 publications

(61 reference statements)

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“…Remote implementation has been demonstrated theoretically and realized experimentally, such as remote state preparation, [ 55 ] nonlocal CNOT operation implementation [ 56 ] and remote generation of entanglement. [ 57 ] In our controlled remote implementation protocol, the participants prepare the stators and implement the remote operation by applying LOCC on shared entangled state.…”

Section: Experimental Feasibilitymentioning

confidence: 99%

Controlled Remote Implementation of Operations via Graph States

Qiu,

Chen

2023

Annalen der Physik

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Protocols are proposed for controlled remote implementation of operations here. Sharing a ‐partite graph state, 2N participants collaborate to prepare the stator and realize the operation on N unknown states for distributed systems , only with the permission of a controller. The control power analysis shows that without the controller's permission, eight specified operations can be implemented with the success rate of 50%, other operations can be realized with the success rate of 25%, and thus the control power is reliable. All the implementation requirements of this protocol can be satisfied by means of local operations and classical communications, and the experimental feasibility is presented according to current techniques. The entanglement requirement of this protocol is characterized in terms of geometric measure of entanglement. It turns out to be economic to realize the control function from the perspective of entanglement cost.

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Section: Experimental Feasibilitymentioning

confidence: 99%

Controlled Remote Implementation of Operations via Graph States

Qiu,

Chen

2023

Annalen der Physik

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“…And after that, she immediately measured her qubits state and the whole state is get collapsed to Eq. (16). Next, Charlie measures his qubit in |+� 7 or |−� 7 basis, and when his measured state is |−� 7 , then Charlie sends his qubit information in one bit to Bob within a certain time period through a secure classical channel.…”

Section: Theoretical and Experimental Realization Of Our Protocolsmentioning

confidence: 99%

Experimental realization of controlled quantum teleportation of arbitrary qubit states via cluster states

Kumar

Haddadi

Pourkarimi

et al. 2020

Sci Rep

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controlled quantum teleportation involves a third party as a controller for the teleportation of state. Here, we present the novel protocols for controlling teleportation of the arbitrary two-qubit and three-qubit states through five-qubit and seven-qubit cluster states respectively. In these schemes, Alice sends the arbitrary qubit states to the remote receiver Bob through the cluster states as quantum channels under the control of charlie. Bob can recover the mentioned states by making appropriate unitary operations, and we point out that the efficiency in our schemes is 100%. In the process of our analysis, we find the classical communication cost in our protocols is remarkably reduced when compared to the previous protocols. We perform the experimental realization of the above protocols on "IBM 16 Melbourne" quantum computer and "IBM quantum simulator" and we calculate the fidelity. We also examine the security analysis against Charlie, and these schemes which we considered here are secure against charlie's attacks. Following the idea of Bennett et al. 1,2 on quantum teleportation, we use entanglement 3 for the quantum communication protocols 4-19. Such as teleportation of qubits 20 , quantum key distribution (QKD) 21,22 , quantum secret sharing 23,24 , etc. 25-34 Entanglement can be seen in many states likes Bell states 35,36 , GHZ states 37 , and W states 38,39 , and so far several measures have been proposed to quantify entanglement 40-45. Various research works have been developed in the field of multi-party quantum teleportation 46-48. As far as we know, the first quantum teleportation between three parties is proposed by Karlsson et al. 49 in 1998 using GHZ state. Also, Dong et al. 50 performed a controlled communication between the three-party using GHZ state and imperfect Bell state measurement. Furthermore, Hassanpour et al. 51 performed controlled quantum secure direct communication protocol using GHZ-like states. Quantum teleportation involving cluster states 7,52-55 is a multiparty protocol. Cluster states are a kind of highly entangled quantum states, and they can be prepared in the following ways: (a) Cluster states can be generated in lattices of spin qubits by interacting them with "Ising type Hamiltonian" 56 , (b) Cluster states can be generated by spontaneous parametric down-conversion involving photon polarization and non-linear optics 57. (c) The cluster states are considered as a particular case of graph states 58-61. Cluster states have great importance over quantum teleportation, and they can be used for one-way quantum computing 55,57 , bidirectional quantum computing 62 , and cyclic quantum computing 63. In our protocols, we use the cluster states as a one-way quantum computing channel. Quantum correlation is used as a resource to establish entanglement between the particles. For an entangled state, the entanglement of formation 42 specifies the amount of resource used to generate the particular entanglement between the particles. The amount of resource used for generating entanglemen...

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“…A further key motivation for quantum communication is quantum compu-tation, due to the benefits of running quantum algorithms distributed over multiple quantum computers [9]- [11]. In such cases, multipartite states can be used to facilitate multiqubit operations or for quantum error correction between multiple devices [12], [13].…”

Section: Introductionmentioning

confidence: 99%

Multiuser Entanglement Distribution in Quantum Networks Using Multipath Routing

Sutcliffe,

Beghelli

2023

IEEE Trans. Quantum Eng.

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Quantum networks facilitate numerous applications including secure communication and distributed quantum computation by performing entanglement distribution. For some multi-user quantum applications access to a shared multipartite state is required. We consider the problem of designing protocols for distributing such states, at an increased rate. For this, we propose three protocols that leverage multipath routing to increase the distribution rate for multi-user applications. The protocols are evaluated on quantum networks with NISQ constraints, including limited quantum memories and probabilistic entanglement generation. Simulation results show that the developed protocols achieve an exponential increase in the distribution rate of multipartite states compared to single path routing techniques, with a maximum increase of four orders of magnitude for the cases studied. Further, the relative increase in distribution rate was also found to improve for larger sets of users. When the protocols were tested in scaled-down real-world topologies, it was found that topology had a significant effect on the multipartite state distribution rates achieved by the protocols. Finally, we found that the benefits of multipath routing are maximum for short quantum memory decoherence times and intermediate values of entanglement generation probability. Hence, the protocols developed can benefit NISQ quantum network control and design.

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Hyper-parallel nonlocal CNOT operation with hyperentanglement assisted by cross-Kerr nonlinearity

Cited by 10 publications

References 80 publications

Controlled Remote Implementation of Operations via Graph States

Controlled Remote Implementation of Operations via Graph States

Experimental realization of controlled quantum teleportation of arbitrary qubit states via cluster states

Multiuser Entanglement Distribution in Quantum Networks Using Multipath Routing

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