Parametric Down Conversion of a Bosonic Thermofield Vacuum

Prudencio, Thiago

doi:10.1142/s0217751x12501242

Cited by 4 publications

(5 citation statements)

References 29 publications

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“…The thermal non-locality present in TFD can then be used to explore features of quantum information in a TFD scenario. Some important points associated to quantum correlations at finite temperature have already been discussed in the context of TFD [49,[57][58][59].…”

Section: Introductionmentioning

confidence: 99%

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Quantum teleporation of thermofields

Prudencio

Filho²,

Santana³

2019

Phys. Scr.

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Quantum teleportation of thermofields in the context of thermofield dynamics (TFD) at single and two thermal baths is proposed. We show using TFD that the non-local correlations associated to the quantum channel and temperature effects in each subsystem can be treated separately, allowing teleportation even if the systems A and B are considered at different temperatures. As a consequence, the temperature effect is treated locally in each subsystem, while the quantum correlation protocol is used for non-locality, allowing the systems A and B be separated at long distances at different temperatures for implementation of the protocol.

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Section: Introductionmentioning

confidence: 99%

“…the energy states are E n =ωn and the Bogoliubov transformation  b ( ) takes the form of a squeezing operator[38,57] …”

mentioning

confidence: 99%

Quantum teleporation of thermofields

Prudencio

Filho²,

Santana³

2019

Phys. Scr.

Self Cite

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“…The effect of temperature on quantum systems can be studied via a formalism developed by Umezawa [19,20,21,22,23,24,25,26], called Thermofield Dynamics. This formalism has as its starting point the equality…”

Section: Elements Of Thermofield Dynamicsmentioning

confidence: 99%

Quantum Information, Thermofield Dynamics and Thermalized Bosonic Oscillator

Trindade¹,

Filho²,

Santos

et al. 2013

Int. J. Mod. Phys. B

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We show through Thermofield Dynamics approach that the action of the thermalized quantum logic gate on the thermalized state is equivalent to thermalization of the state that arise from the application of the non-thermalized quantum logic gate. In particular, we study the effect of temperature on a mixed state associated to a system capable of implementing a CNOT quantum logic gate. According to a proposal in the literature, a way of implementing such a logic gate is by using a representation of the qubit states as elements of the Fock space of a bosonic system. We consider such a proposal and use the Thermofield Dynamics to determine the thermalized qubit states. The temperature acts as a quantum noise on pure states, making them a statistical mixture. In this context we analyze the fidelity as a function of the temperature and using the Mandel parameter, we determine temperature ranges for which the statistics of the system becomes subpoissonian, poissonian and superpoissonian. Finally, we calculate the Wigner function, allowing an analysis of the thermal state in phase space, and we obtain that the increase of temperature decreases non-classical properties of the system. The temperature range where one has a subpoissonian statistics and high fidelity is determined.

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“…In quantum information protocols, in particular QT, TFD has the possibility of dealing with non-locality and entanglement at finite temperature scenario making use of the algebraic structure of such thermofield states. This route for the investigation of non-locality in thermal environments brings new features relating quantum information protocols in a thermofield scenario and have been explored in some recent proposes associated to maximally entangled states 78,79,80 , no-cloning theorem 81 , quantum gates 82 . Thermofield states are also used for description of eternal anti-de Sitter (AdS) black holes 83,84 with association to quantum complexity 85 and can also be associated to Gaussian states 86 .…”

Section: Introductionmentioning

confidence: 99%

Thermofield qubits, generalized expectations and quantum information protocols

Prudencio,

Filho,

Santana

2014

Preprint

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Thermofield dynamics (TFD) approach is a real time quantum field method for dealing with finite temperature quantum states in a purified version of usual density operator formalism at finite temperature. In the domain of quantum information, TFD represents a quite promising direction for dealing with qubits under thermal influence and can also be associated to Gaussian states. Here, we propose a generalized TFD mean expectation for the case of thermofield qubits considering the action of gate operators. We propose quantum teleportation protocols involving thermofield states, considering thermal-to-thermal and thermal-to-non-thermal transfering cases. In particular, we discuss the case in which Alice and Bob are at different temperatures. Action of gate operators on the result of the Mandel parameter for thermofields and on Gibbs-like density operators are also discussed. The nocloning and non-broadcasting theorems in TFD are also considered and cases

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Parametric Down Conversion of a Bosonic Thermofield Vacuum

Cited by 4 publications

References 29 publications

Quantum teleporation of thermofields

Quantum teleporation of thermofields

Quantum Information, Thermofield Dynamics and Thermalized Bosonic Oscillator

Thermofield qubits, generalized expectations and quantum information protocols

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