# High-dimensional quantum teleportation under noisy environments

@article{Fonseca2019HighdimensionalQT, title={High-dimensional quantum teleportation under noisy environments}, author={Alejandro Fonseca}, journal={Physical Review A}, year={2019} }

We study the protocol of qudit teleportation using quantum systems subjected to several kinds of noise for arbitrary dimensionality $d$. We consider four classes of noise: dit-flip, $d$-phase-flip, dit-phase-flip and depolarizing, each of them corresponding to a family of Weyl operators, introduced via Kraus formalism. We derive a general expression for the average fidelity of teleportation in arbitrary dimension $d$ for any combination of noise on the involved qudits. Under a different…

## Figures and Tables from this paper

## 14 Citations

Quantum cost of dense coding and teleportation

- Computer SciencePhysical Review A
- 2022

It is shown that the quantum cost of d-dimensional dense coding protocol is equal to d + 3 when transmitting the classical message (0, 0), and that it appears linear growth with the dimension and thus makes sense for implementation.

Quantum communication with SU(2) invariant separable 2˟ N level systems

- MathematicsQuantum Inf. Process.
- 2022

Using protocols for remote transfers of information in a known and an unknown qubit to qudits using SU(2)– invariant 12⊗S discordant states as a channel, it is believed that quantum information processing can be performed using highly mixed separable higher dimensional states.

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

- Physics
- 2021

This work proposes a scheme for teleportation of an arbitrary two-qubit state by using a Bell state as the quantum channel working together with an auxiliary qubit, which is very promising for application in quantum teleportation on chip.

Quantum Hypergraph States in Noisy Quantum Channels

- Physics, Computer Science
- 2021

This work analyzes a number of noisy quantum channels for qudits, on the family of qudit hypergraph states, a well-known family of entangled multi-qubit quantum states, and maps these states to qudit states.

Multi-hop nondestructive teleportation between terminal nodes equipped with limited technology

- Computer Science
- 2020

This paper proposes a scheme for the multi-hop nondestructive teleportation of an arbitrary single-qudit state via channel modulation performed by one cloud node in a network that reduces the hardware requirement of the terminals, which makes it more flexible and adaptable inA network.

Analysis of a High-Dimensional Extended B92 Protocol

- Computer Science, MathematicsQuantum Inf. Process.
- 2021

An information-theoretic security analysis of the protocol is performed and its key rate is compared to that of a high-dimensional BB84 protocol over depolarization and amplitude damping channels.

Controlled Cyclic Remote Preparation of an Arbitrary Single-Qudit State by Using a Seven-Qudit Cluster State as the Quantum Channel

- Computer Science
- 2021

The protocol is more convenient in application since it only requires single- particle measurement and single-particle unitary operations for controlled cyclic remote preparation of the single-qudit states.

Pauli component erasing operations

- Physics
- 2022

Decoherence of quantum systems is described by quantum channels. However, a complete understanding of such channels, specially in the multi-particle setting, is still an ongoing diﬃcult task. We…

Quantum Semantic Communications: An Unexplored Avenue for Contextual Networking

- Computer ScienceArXiv
- 2022

A novel quantum semantic communications (QSC) framework is proposed to develop reasoning-based future communication systems with quantum semantic representations that are characterized with minimalism, efﬁciency, and accuracy.

Semi-quantum secret sharing in high-dimensional quantum system using product states

- PhysicsChinese Journal of Physics
- 2022

## References

SHOWING 1-10 OF 91 REFERENCES

Fighting noise with noise in realistic quantum teleportation

- Physics
- 2015

We investigate how the efficiency of the quantum teleportation protocol is affected when the qubits involved in the protocol are subjected to noise or decoherence. We study all types of noise usually…

Noisy quantum teleportation: An experimental study on the influence of local environments

- Physics
- 2014

We report experimental results on the action of selected local environments on the fidelity of the quantum teleportation protocol, taking into account non-ideal, realistic entangled resources.…

Activation of entanglement in teleportation

- Computer Science
- 2013

A derivation of the average fidelity of the teleportation process with a noisy classical channel for qudits is presented, allowing us to specify the minimum amount of classical information required to beat the classical limit when the protocol is based on the Bell measurements.

Experimental Study of Nonclassical Teleportation Beyond Average Fidelity.

- PhysicsPhysical review letters
- 2018

Nonclassical teleportation is reported using quantum states that cannot achieve average fidelity of teleportation above the classical limit and the violation of these witnesses is used to estimate the negativity of the shared state.

Quantum Teleportation in High Dimensions.

- PhysicsPhysical review letters
- 2019

This work proposes a scheme for teleportation of arbitrarily high-dimensional photonic quantum states and demonstrates an example of teleporting a qutrit, confirming a genuine and nonclassical three-dimensional teleportation.

Using three-partite GHZ states for partial quantum error detection in entanglement-based protocols

- PhysicsQuantum Inf. Process.
- 2018

It is shown that the use of post-selection after the detection of noise leads to an enhancement in the efficiency of the protocols, and it is concluded that the optimal number of qubits is only three.

Non-ideal teleportation of tripartite entanglement: Einstein–Podolsky–Rosen versus Greenberger–Horne–Zeilinger schemes

- PhysicsQuantum Inf. Process.
- 2017

It is shown that when both systematic errors and noise are considered, the fidelity of the teleportation protocol is higher when a GHZ channel is used in comparison with that of a channel composed by EPR pairs.

Fidelity of quantum teleportation through noisy channels

- Physics
- 2002

We investigate quantum teleportation through noisy quantum channels by solving analytically and numerically a master equation in the Lindblad form. We calculate the fidelity as a function of…

Noise effect on fidelity of two-qubit teleportation

- Physics
- 2010

We investigate the effect of noise on a class of four-qubit entangled channels for two-qubit teleportation from Alice to Bob. These entangled channels include both parallel Bell pairs and inseparable…