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arXiv:2501.18743

Generation and Teleportation of three and four particle W state

Seyed Amir hossein Mehrinezhad Chobari, Hossein Aghababa, Mohammadreza Kolahdouz

Published Jan 30, 2025• 0 citations
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Abstract

In this paper, we introduced circuits for three- and four-particle quantum systems to generate W states with any arbitrary coefficients and phases. Subsequently, each qubit was transmitted separately through a four-qubit entangled channel. Before transmission, the sender performed pre-processing on their qubits to minimize the resources required for transmission. Additionally, the receiver applied post-processing using the ancilla qubit(s) to recover the final states. To further improve efficiency, it is preferable to implement the protocol in a bidirectional manner, as this allows the unknown qubits initially held by the users to be utilized ancilla qubit(s). Finally, we compared our protocol with similar works and validated the correctness of the protocol by simulating it using Qiskit, a tool provided by IBM.

DOI
10.48550/arxiv.2501.18743

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In this paper, we introduced circuits for three- and four-particle quantum systems to generate W states with any arbitrary coefficients and phases. Subsequently, each qubit was transmitted separately through a four-qubit entangled channel. Before transmission, the sender performed pre-processing on their qubits to minimize the resources required for transmission. Additionally, the receiver applied post-processing using the ancilla qubit(s) to recover the final states. To further improve efficiency, it is preferable to implement the protocol in a bidirectional manner, as this allows the unknown qubits initially held by the users to be utilized ancilla qubit(s). Finally, we compared our protocol with similar works and validated the correctness of the protocol by simulating it using Qiskit, a tool provided by IBM.
We present a scheme for teleporting an unknown three-particle entangled W state from a sender to either of two receivers. Two partial three-particle entangled W states are used as the quantum channel. The success probability of teleportation depends on the entanglement degree of shared W states, which equals 4/9 for a quantum channel composed of two maximally entangled three-particle W states. The proposed scheme can be generalized to transmit an unknown m-particle entangled W state to any m-1 receiver and will be applied to long-distance transmission as well.
Abstract A bidirectional quantum teleportation protocol is proposed for the transfer of two-qubit entangled states between two parties utilizing a six-qubit cluster state quantum channel. The protocol enhances the resource efficiency by allowing the reconstruction of teleported states without the use of CNOT operations or auxiliary qubits at the receiver’s end. Comparative analysis with existing schemes highlights the higher intrinsic efficiency of the proposed approach for bidirectional quantum teleportation. The protocol is further generalized to enable the bidirectional teleportation of arbitrary n-qubit entangled states using the same six-qubit quantum resource, demonstrating scalability. The protocol is simulated under various noise models to evaluate its robustness, with fidelity assessments carried out using the IBM Qiskit SDK. A complete teleportation circuit implementing the protocol is designed using standard quantum gates.
Quantum network harbours a technology of multiparty transmission and computation of quantum information. We here design a quantum circuit comprising of Hadamard and controlled-Not gates for preparation of a cluster state of symmetric and antisymmetric Bell pairs involving seventeen qubits which is later on utilized as a quantum channel. This seventeen qubits quantum channel is employed to strategize a simultaneous multiparty (quattro directional) quantum teleportation protocol in which four senders (Alice, Bob, Charlie and David) transmit their arbitrary unknown two-qubit states to respective four receivers (Fancy1, Fancy2, Fancy3 and Fancy4) under the supervision of a controller Elle. After successful accomplishment of the protocol, we assess and compare our scheme with contemporary protocols based on quantum (classical) resource consumption, transmitted qubits, operation complexity and efficiency. We found that intrinsic efficiency of our protocol pegs at 21.65 percent.
In this paper, a quantum teleportation protocol has been proposed that can simultaneously transmit quantum states in four directions using a single entangled channel. This means that there are four senders who want to transmit state information, and they are Alice, Bob, Charlie, and David. In order to ensure the security of information transmission, the information state of the four is transmitted to four receivers Fancy1, Fancy2, Fancy3, and Fancy4 under the control of the controller Elle. Through unitary transformation and entanglement property, receivers can recover the original quantum state from the four senders, which is easy to implement. The teleportation protocol is perfect.
In this paper, we theoretically realize bidirectional controlled quantum teleportation by using ten-qubit entangled state method. This paper uses a case to introduce the specific process of realizing quantum teleportation: Alice sends an unknown four-qubit GHZ state to Bob, and Bob sends an arbitrary three-qubit GHZ state to Alice. In addition, Charlie controls the transfer to ensure the integrity of the protocol. A ten-qubit quantum channel is constructed and used in this paper. Then, the unitary matrix transformation is used to complete the communication protocol. The research results show that the communication protocol constructed in this paper is more efficient than most communication protocols.
In this paper, a theoretical scheme for bidirectional quantum teleportation by using a four-qubit GHZ state and two Bell states as a quantum channel is proposed. In this scheme, two arbitrary single-qubit quantum states and an unknown three-qubit state can be mutually transmitted between the two communication participants Alice and Bob. The quantum state information can be transmitted if Alice performs four single-qubit measurement operations on her qubits and Bob carries out a four-qubit joint measurement on his qubits, respectively. Then both Alice and Bob can reconstruct the target quantum state by means of appropriate unitary operations. Then we take comparisons with the other bidirectional quantum teleportation protocols in five aspects of quantum information bits transmitted, necessary operations, consumption of quantum resource, consumption of classical resource and intrinsic efficiency. Furthermore, we use channel authentication method to ensure the channel security and prove that our protocol can withstand four attack scenarios. It is concluded that our scheme has significant advantages of more qubits number transmitted, higher intrinsic efficiency and high security.