Fighting noise with noise in realistic quantum teleportation

Fortes, Raphael; Rigolin, Gustavo

doi:10.1103/physreva.92.012338

Cited by 102 publications

(119 citation statements)

References 35 publications

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“…(15) into Eq. (20) to obtain the four success rates Q j , each of which is associated with the average probability of measuring the generalized Bell state |B ϕ j . Those success rates can be written as follows,…”

Section: The Heisenberg Modelmentioning

confidence: 99%

“…If all measurement results are accepted, i.e., no postselection is made, we get back the efficiency of the deterministic protocol [20,23],…”

Section: B Success Rate and Efficiency Of The Probabilistic Teleportmentioning

confidence: 99%

“…This was done for the deterministic protocol in Ref. [20] and for the probabilistic protocol in Ref. [23].…”

Section: The Mathematical Toolsmentioning

confidence: 99%

“…A workaround to bypass those problems using only local operations and classical communication is entanglement distillation [7], where several copies of non-maximally entangled mixed states are converted into one maximally entangled pure state. A different approach is based on the modification of the standard teleportation protocols [1][2][3], adapting them to operate directly with non- * Electronic address: rigolin@ufscar.br maximally entangled states [8][9][10][11][12][13][14][15][16][17][18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

“…The first one contains the deterministic protocols [11][12][13][14][15][16][17][18][19][20][21][22], in which there is no postselection of the measurement results obtained by Alice during the execution of the protocol. In other words, at the end of each run of the protocol, no matter what measurement outcome Alice obtains, Bob considers his qubit as a valid output of the teleportation protocol.…”

Section: Introductionmentioning

confidence: 99%

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Probabilistic quantum teleportation via thermal entanglement

Fortes

Rigolin

2017

Phys. Rev. A

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We study the probabilistic (conditional) teleportation protocol when the entanglement needed to its implementation is given by thermal entanglement, i.e., when the entangled resource connecting Alice and Bob is an entangled mixed state described by the canonical ensemble density matrix. Specifically, the entangled resource we employ here is given by two interacting spin-1/2 systems (two qubits) in equilibrium with a thermal reservoir at temperature T . The interaction between the qubits is described by a Heisenberg-like Hamiltonian, encompassing the Ising, the XX, the XY, the XXX, and XXZ models, with or without external fields. For all those models we show analytically that the probabilistic protocol is exactly equal to the deterministic one whenever we have no external field. However, when we turn on the field the probabilistic protocol outperforms the deterministic one in several interesting ways. Under certain scenarios, for example, the efficiency (average fidelity) of the probabilistic protocol is greater than the deterministic one and increases with increasing temperature, a counterintuitive behavior. We also show regimes in which the probabilistic protocol operates with relatively high success rates and, at the same time, with efficiency greater than the classical limit 2/3, a threshold that cannot be surpassed by any protocol using only classical resources (no entanglement shared between Alice and Bob). The deterministic protocol's efficiency under the same conditions is below 2/3, highlighting that the probabilistic protocol is the only one yielding a genuine quantum teleportation. We also show that near the quantum critical points for almost all those models the qualitative and quantitative behaviors of the efficiency change considerably, even at finite T .

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Section: The Heisenberg Modelmentioning

confidence: 99%

“…If all measurement results are accepted, i.e., no postselection is made, we get back the efficiency of the deterministic protocol [20,23],…”

Section: B Success Rate and Efficiency Of The Probabilistic Teleportmentioning

confidence: 99%

“…This was done for the deterministic protocol in Ref. [20] and for the probabilistic protocol in Ref. [23].…”

Section: The Mathematical Toolsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Probabilistic quantum teleportation via thermal entanglement

Fortes

Rigolin

2017

Phys. Rev. A

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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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Anti-noise Quantum Network Coding Protocol Based on Bell States and Butterfly Network Model

Zhang

Cheng

2019

Lecture Notes in Computer Science

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Fighting noise with noise in realistic quantum teleportation

Cited by 102 publications

References 35 publications

Probabilistic quantum teleportation via thermal entanglement

Probabilistic quantum teleportation via thermal entanglement

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

Anti-noise Quantum Network Coding Protocol Based on Bell States and Butterfly Network Model

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