Optimizing Quantum Teleportation and Dense Coding via Mixed Noise Under Non-Markovian Approximation

Islam, Akbar; Wang, An Min

doi:10.1007/s10773-021-04748-6

Cited by 5 publications

(2 citation statements)

References 32 publications

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“…Zhao et al [25] utilized a noiseless amplifier as a pre-device for quantum teleportation and achieved a high fidelity of 92% for teleporting coherent states, which also presented a new way of applying teleportation to purify quantum systems from thermal noise. Islam et al [26] demonstrated that the decoherence noise can enhance the quantum correlation between two qubits and restore the entanglement lost in the environment, therefore improving the fidelity of quantum teleportation and the capacity of quantum superdense coding and contributing to efficient quantum communication.…”

Section: Obfuscation Circuits In a Noisy Channelmentioning

confidence: 99%

Quantum Obfuscation of Generalized Quantum Power Functions with Coefficient

Jiang,

Shang,

Tang

et al. 2023

Entropy

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Quantum obfuscation is one of the important primitives in quantum cryptography that can be used to enhance the security of various quantum cryptographic schemes. The research on quantum obfuscation focuses mainly on the obfuscatability of quantum functions. As a primary quantum function, the quantum power function has led to the development of quantum obfuscation because it is applicable to construct new obfuscation applications such as quantum encryption schemes. However, the previous definition of quantum power functions is constrained and cannot be beneficial to the further construction of other quantum functions. Thus, it is essential to extend the definition of the basic quantum power function in a more general manner. In this paper, we provide a formal definition of two quantum power functions called generalized quantum power functions with coefficients, each of which is characterized by a leading coefficient and an exponent that corresponds to either a quantum or classical state, indicating the generality. The first is the quantum power function with a leading coefficient, and the second is the quantum n-th power function, which are both fundamental components of quantum polynomial functions. In addition, obfuscation schemes for the functions are constructed by quantum teleportation and quantum superdense coding, and demonstrations of their obfuscatability are also provided in this paper. This work establishes the fundamental basis for constructing more quantum functions that can be utilized for quantum obfuscation, therefore contributing to the theory of quantum obfuscation.

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Section: Obfuscation Circuits In a Noisy Channelmentioning

confidence: 99%

Quantum Obfuscation of Generalized Quantum Power Functions with Coefficient

Jiang,

Shang,

Tang

et al. 2023

Entropy

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“…However, the EPR pair deviates from the maximally entangled state when 𝜃 ∈ 0, 𝑎𝑛𝑑 𝜃 , |Φ ⟩ |𝜑 ⟩, the four new Bell states |Φ ⟩, |Ψ ⟩, |Φ ⟩ and |Ψ ⟩ are no longer orthogonal to each other two by two. That is, when the external environment perturbates with the EPR pairs we generate and causing them to deviate from the maximally entangled state, we cannot guarantee the success rate of the information during transmission because the scheme may fail at this time [16].…”

Section: Maximally Entangled Statesmentioning

confidence: 99%

The scheme of quantum dense coding in three-dimensional spaces

2022

J. Phys.: Conf. Ser.

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Quantum communication is a new emerging inter-discipline in which classical communication theory and quantum mechanics are intertwined. Among them, the utilization of quantum entangled state properties is fundamental to the realization of quantum communication. In this way, we can ensure the security and confidentiality of information during transmission based on a new communication scheme, i.e., a quantum dense coding scheme. It enables the transmission of two bits of classical information by transmitting only one qubit. In the past decades, the scheme has attracted the attention of many researchers because of its promising development. In this paper, on top of quantum mechanics, we first review the two-dimensional dense coding scheme and analyze the process implemented by the above scheme. Then it is successfully extended to higher dimensions (three dimensions), predicting the possibility of implementation in more than two dimensions. Finally, the importance of the maximally entangled state for the transmission of this scheme is briefly explained.

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Quantum Power Obfuscation

Shang

2024

Quantum Nonlinear Function Obfuscation Theory and Application

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Optimizing Quantum Teleportation and Dense Coding via Mixed Noise Under Non-Markovian Approximation

Cited by 5 publications

References 32 publications

Quantum Obfuscation of Generalized Quantum Power Functions with Coefficient

Quantum Obfuscation of Generalized Quantum Power Functions with Coefficient

The scheme of quantum dense coding in three-dimensional spaces

Quantum Power Obfuscation

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