Quantum error rejection for faithful quantum communication over noise channels

Guo, Peng‐Liang; Gao, Cheng‐Yan; Li, Tao; Li, Xi-Han; Deng, Fu‐Guo

doi:10.1007/s11433-019-9396-8

Cited by 15 publications

(5 citation statements)

References 264 publications

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“…The general equation of density matrix is given by Eq. (17). Now let us analyze a two-qubit state which is given by for this case ρ T is obtained as www.nature.com/scientificreports/ Besides, the experimental density matrix (18) for two qubits is given by the following formula 67,93 here T j 1 j 2 is defined as T j 1 j 2 = S j 1 × S j 2 where the Stokes parameters are S 0 = P |0I� + P |1I� , S 1 = P |0X� − P |1X� , S 2 = P |0Y � − P |1Y � , S 3 = P |0Z� − P |1Z� .…”

Section: Resultsmentioning

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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Section: Resultsmentioning

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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show abstract

“…Then it increases the bit-error rate of random sampling in the security check. Fortunately, the influence of the channel noise can be suppressed by using photonic logical qubits, which are encoded in decoherence-free subspaces and are robust to channel noise [64][65][66][67]. The GHZ state analyzer should be modified accordingly.…”

Section: Discussion and Summarymentioning

confidence: 99%

Sender-controlled measurement-device-independent multiparty quantum communication

Wei,

Wang,

Zhu

et al. 2022

Preprint

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Multiparty quantum communication is an important branch of quantum networks. It enables private information transmission with information-theoretic security among legitimate parties. We propose a sender-controlled measurement-device-independent multiparty quantum communication protocol. The sender Alice divides a private message into several parts and delivers them to different receivers for secret sharing with imperfect measurement devices and untrusted ancillary nodes. Furthermore, Alice acts as an active controller and checks the security of quantum channels and the reliability of each receiver before she encodes her private message for secret sharing, which makes the protocol convenient for multiparity quantum communication.

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“…To eliminate the impacts of noises, several methods based on entanglement purification, [34][35][36] quantum error correction, [37,38] or quantum error rejection [39,40] have emerged. However, these strategies only work well if the interaction between particles and the environment is weak enough.…”

Section: Introductionmentioning

confidence: 99%

Robust Multi‐Party Semi‐Quantum Private Comparison Protocols with Decoherence‐Free States against Collective Noises

et al. 2023

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Based on the decoherence‐free states, two multi‐party semi‐quantum private comparison protocols are proposed to counteract collective noises. One can resist the collective‐dephasing noise well, and the other can resist the collective‐rotation noise. With the assistance of a semi‐honest third party (TP), multiple classical participants with restricted quantum abilities can compare their secret information by performing the proposed protocols once. It is manifested that the proposed protocols can resist both external attacks and internal attacks. Additionally, the operations in the multi‐party semi‐quantum private comparison protocols are simulated on the IBM Quantum Experience.

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Quantum error rejection for faithful quantum communication over noise channels

Cited by 15 publications

References 264 publications

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

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

Sender-controlled measurement-device-independent multiparty quantum communication

Robust Multi‐Party Semi‐Quantum Private Comparison Protocols with Decoherence‐Free States against Collective Noises

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