High-dimensional quantum teleportation under noisy environments

Fonseca, Alejandro

doi:10.1103/physreva.100.062311

Cited by 62 publications

(38 citation statements)

References 35 publications

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“…Similar to Reference 81, the Kraus operators for amplitude damping noise are

\begin{align} E_{0} = false| 0 ⟩ ⟨ 0 false| + \sqrt{1 prefix- p} false| 1 ⟩ ⟨ 1 false|, E_{1} = \sqrt{p} false| 0 ⟩ ⟨ 1 false| . \end{align}

…”

Section: Deterministic Remote State Preparation With Density Matrix Formalismmentioning

confidence: 99%

“…Noise may degrade the entanglement shared by the sender and the receiver which will decrease the efficiency and the fidelity of teleportation and remote state preparation 73,74 . The effect of noise on quantum teleportation has attached much interest in the past few years 67‐81 . Badziag et al presented a example of two‐qubit states which permit the increase of fidelity after the dissipative interaction with the environment 67 .…”

Section: Introductionmentioning

confidence: 99%

“…Yang et al investigated bidirectional multi‐qubit teleportation via noisy channel 78 . In 2019, Fonseca investigated fidelity for teleportation of an arbitrary single‐qudit state for any combination of quantum noise 81 . Li et al proposed a scheme to enhance the fidelity of quantum teleportation in amplitude damping noise via weak measurement 79 …”

Section: Introductionmentioning

confidence: 99%

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Effect of noise on remote preparation of an arbitrary single‐qubit state

Zhou

2021

Quantum Engineering

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The effect of noise on the transmission of quantum state has attached much interest recently. Here we investigate the effect of different types of quantum noise on deterministic exact remote preparation of an arbitrary single‐qubit state. Four types of noise which usually encountered in application of quantum remote state preparation, including bit‐flipping, phase‐flipping, depolarizing and amplitude damping, are considered. The average fidelities of remote state preparation for any combinations of noise are calculated. It is shown that more fidelity can be achieved via less entanglement in single‐qubit remote preparation when part or all of the entangled qubits are subjected to amplitude damping noise. It is shown that in several situations more noise may leading to more fidelity in remote state preparation. Moreover, we discuss the effect of noise on probabilistic remote state preparation.

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“…Similar to Reference 81, the Kraus operators for amplitude damping noise are

\begin{align} E_{0} = false| 0 ⟩ ⟨ 0 false| + \sqrt{1 prefix- p} false| 1 ⟩ ⟨ 1 false|, E_{1} = \sqrt{p} false| 0 ⟩ ⟨ 1 false| . \end{align}

…”

Section: Deterministic Remote State Preparation With Density Matrix Formalismmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Effect of noise on remote preparation of an arbitrary single‐qubit state

Zhou

2021

Quantum Engineering

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“…Operator sum representation is an effective approach that represents the interaction between closed quantum system and external environment [1]. Similar to quantum noise channel analysis in two-dimensional quantum system, the quantum noise channel model in high-dimensional quantum system can be defined as Kraus form [55]:…”

Section: Noise Model For High-dimensional Quantum Systemmentioning

confidence: 99%

“…According to ref. [55], four types of noise dit-flip, d-phase-flip, amplitude damping and depolarizing channels can be described as follows:…”

Section: Noise Model For High-dimensional Quantum Systemmentioning

confidence: 99%

A novel dynamic quantum secret sharing in high-dimensional quantum system

Zhou

et al. 2021

Quantum Inf Process

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This paper proposed a novel dynamic quantum secret sharing protocol in highdimensional quantum system. Via transmitting the particles circularly and local unitary operations, the dealer and all agents can share the multi-particle entangled GHZ state in high-dimensional quantum system. The proposed protocol allows a dealer to share the predetermined dits without directly distributing any piece of shares to agents. To recover the secrets, dealer and all agents only need to perform the singleparticle measurement operation and then implement the simple modular arithmetic operation according to their corresponding measurement results. Besides, in the proposed protocol, only a little fraction of entangled GHZ states are employed for eavesdropping check instead of lots of decoy (or detecting) particles used in previous protocols. Since the protocol is designed in the high-dimensional quantum system, it makes our protocol have higher resource capacity and better security in detecting the illegal eavesdropper than former protocols designed in two-dimensional quantum system. Security analyses indicate that the proposed protocol is immune to general attacks of intercept-and-resend, entangle-and-measure, collusion, and revoked a dishonest agent. Furthermore, the efficiency of proposed DQSS protocol in noise environment is deduced through quantum fidelity. The obtained results indicate that the efficiency of proposed protocol decreases with the increase in channel noise parameter and it has a quite different efficiency in four types of noise, i.e., dit-flip, d-phaseflip, amplitude-damping and depolarizing.

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Short-Distance Teleportation of an Arbitrary Two-Qubit State Via a Bell State

Tan

Han

2021

Int J Theor Phys

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High-dimensional quantum teleportation under noisy environments

Cited by 62 publications

References 35 publications

Effect of noise on remote preparation of an arbitrary single‐qubit state

Effect of noise on remote preparation of an arbitrary single‐qubit state

A novel dynamic quantum secret sharing in high-dimensional quantum system

Short-Distance Teleportation of an Arbitrary Two-Qubit State Via a Bell State

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