Quantum teleporation of thermofields

Prudencio, Thiago; Filho, T. M. Rocha; Santana, A. E.

doi:10.1088/1402-4896/ab03b1

Cited by 4 publications

(9 citation statements)

References 59 publications

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“…The marvelous characteristic of entangled states [5][6][7] of quantum system enables communication methods different from classical ones. Quantum teleportation [8][9][10] consuming one ebit and two cbits is the most famous example [11]. To reduce the classical resource needed in quantum teleportation, remote state preparation (RSP for short) was proposed [12][13][14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Enhanced deterministic joint remote state preparation under Pauli channels with memory

Zhang¹,

Sun²

2020

Phys. Scr.

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Joint remote state preparation (JRSP for short) can reduce the risk brought by one dishonest sender in remote state preparation. Unlike previous protocols that focused on JRSP under memoryless noise channels, in this paper, we study the performance of a deterministic joint remote state preparation scheme under two successive uses of Pauli channels with memory. We give general formulas quantifying the fidelity under the correlated Pauli channels. Specifically, we find that the performance of the protocol is enhanced in the correlated Pauli channel with partial memory. It means that the memory in this kind of noise channels can improve the communication efficiency of JRSP definitely.

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Section: Introductionmentioning

confidence: 99%

Enhanced deterministic joint remote state preparation under Pauli channels with memory

Zhang¹,

Sun²

2020

Phys. Scr.

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“…As a consequence, the study of thermal effects on the dynamics of quantum systems has attracted the attention of the scientific community [14][15][16][17][18][19][20][21][22]. In this scenario, the Thermofield Dynamics (TFD) appears as a useful approach since it allows the treatment of temporal and thermal contributions equally [14,[16][17][18][19][23][24][25][26]. Therefore, TFD is a natural approach to studying quantum states at finite temperatures.…”

Section: Introductionmentioning

confidence: 99%

“…In this context, this theory has shown great potential for studying the thermal properties of qubit systems regarding the development of quantum protocols at finite temperatures [14,17,[23][24][25][26]29]. In addition, applying higher-dimensional Hilbert spaces have been used to simplify quantum logic in the construction of quantum circuits [28].…”

Section: Introductionmentioning

confidence: 99%

Simulating thermal qubits through thermofield dynamics: an undergraduate approach using quantum computing

Petronilo,

Araújo,

Cruz

2023

Rev. Bras. Ensino Fís.

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Quantum computing has attracted the attention of the scientific community in the past few decades. The development of quantum computers promises one path toward safer and faster ways to treat, extract, and transfer information. However, despite the significant advantages of quantum computing, the development of quantum devices operating at room temperature has been compromised by the thermal decoherence process. In addition, in most undergraduate and graduate quantum mechanics courses, the study of thermofield dynamics is usually neglected. In this scenario, this work presents a didactic approach to simulate thermal qubit systems through Thermofield Dynamics (TFD), applied in a quantum computing setup. The results show that the Bloch sphere representation for a qubit can be written in terms of the Bogoliubov transformation, which allows a practical construction for the thermal qubits in a quantum computing setup. Therefore, this work introduces thermofield dynamics through quantum computing to teachers and curious students interested in teaching and learning this important field of studying the temperature impacts on quantum protocols using the TFD technique.

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“…In this new analysis we will use the procedure of Thermofield Dynamics [20], in particular the thermal Wigner functions for the Bell-Cat states will be considered along with their negativity properties. The Termofield Dynamics formalism was developed by Umezawa and Takahasi [21,22] and it is a suitable way to introduce temperature in quantum states [23][24][25][26][27].…”

Section: Introductionmentioning

confidence: 99%

Negativity of the Wigner function and thermal effects of Bell-Cat states

Lula-Rocha¹,

Floquet²,

Trindade³

et al. 2020

Preprint

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We applied the Thermofield Dynamics formalism to analyze how the non-classical properties of the Bell-Cat states are influenced by a gradual change of temperature values, in a thermal equilibrium system. To this purpose we calculate the thermal Wigner functions for these states, whose negative volume is associated with non-classical properties, and we evaluate how these non-classical features vary with temperature. Our results indicate that these properties are almost absent for temperatures of around 2K.

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Quantum teleporation of thermofields

Cited by 4 publications

References 59 publications

Enhanced deterministic joint remote state preparation under Pauli channels with memory

Enhanced deterministic joint remote state preparation under Pauli channels with memory

Simulating thermal qubits through thermofield dynamics: an undergraduate approach using quantum computing

Negativity of the Wigner function and thermal effects of Bell-Cat states

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