中国物理B ›› 2024, Vol. 33 ›› Issue (2): 20309-020309.doi: 10.1088/1674-1056/ace683

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Protected simultaneous quantum remote state preparation scheme by weak and reversal measurements in noisy environments

Mandal Manoj Kumar, Choudhury Binayak S., and Samanta Soumen§   

  1. Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur B. Garden, Howrah 711103, West Bengal, India
  • 收稿日期:2023-05-10 修回日期:2023-06-21 接受日期:2023-07-12 出版日期:2024-01-16 发布日期:2024-01-16
  • 通讯作者: Mandal Manoj Kumar, Choudhury Binayak S., Samanta Soumen E-mail:manojmandaliiest@gmail.com;binayak@math.iiests.ac.in;s.samanta.math@gmail.com
  • 基金资助:
    Project supported by Indian Institute of Engineering Science and Technology, Shibpur, India.

Protected simultaneous quantum remote state preparation scheme by weak and reversal measurements in noisy environments

Mandal Manoj Kumar, Choudhury Binayak S., and Samanta Soumen§   

  1. Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur B. Garden, Howrah 711103, West Bengal, India
  • Received:2023-05-10 Revised:2023-06-21 Accepted:2023-07-12 Online:2024-01-16 Published:2024-01-16
  • Contact: Mandal Manoj Kumar, Choudhury Binayak S., Samanta Soumen E-mail:manojmandaliiest@gmail.com;binayak@math.iiests.ac.in;s.samanta.math@gmail.com
  • Supported by:
    Project supported by Indian Institute of Engineering Science and Technology, Shibpur, India.

摘要: We discuss a quantum remote state preparation protocol by which two parties, Alice and Candy, prepare a single-qubit and a two-qubit state, respectively, at the site of the receiver Bob. The single-qubit state is known to Alice while the two-qubit state which is a non-maximally entangled Bell state is known to Candy. The three parties are connected through a single entangled state which acts as a quantum channel. We first describe the protocol in the ideal case when the entangled channel under use is in a pure state. After that, we consider the effect of amplitude damping (AD) noise on the quantum channel and describe the protocol executed through the noisy channel. The decrement of the fidelity is shown to occur with the increment in the noise parameter. This is shown by numerical computation in specific examples of the states to be created. Finally, we show that it is possible to maintain the label of fidelity to some extent and hence to decrease the effect of noise by the application of weak and reversal measurements. We also present a scheme for the generation of the five-qubit entangled resource which we require as a quantum channel. The generation scheme is run on the IBMQ platform.

关键词: multi-qubit entangled channel, quantum remote state preparation, noisy environments, weak and reversal measurements

Abstract: We discuss a quantum remote state preparation protocol by which two parties, Alice and Candy, prepare a single-qubit and a two-qubit state, respectively, at the site of the receiver Bob. The single-qubit state is known to Alice while the two-qubit state which is a non-maximally entangled Bell state is known to Candy. The three parties are connected through a single entangled state which acts as a quantum channel. We first describe the protocol in the ideal case when the entangled channel under use is in a pure state. After that, we consider the effect of amplitude damping (AD) noise on the quantum channel and describe the protocol executed through the noisy channel. The decrement of the fidelity is shown to occur with the increment in the noise parameter. This is shown by numerical computation in specific examples of the states to be created. Finally, we show that it is possible to maintain the label of fidelity to some extent and hence to decrease the effect of noise by the application of weak and reversal measurements. We also present a scheme for the generation of the five-qubit entangled resource which we require as a quantum channel. The generation scheme is run on the IBMQ platform.

Key words: multi-qubit entangled channel, quantum remote state preparation, noisy environments, weak and reversal measurements

中图分类号:  (Quantum algorithms, protocols, and simulations)

  • 03.67.Ac
03.67.Bg (Entanglement production and manipulation) 03.67.Hk (Quantum communication)