Non-classical properties of superposition thermal quantum states

Weber, P.E.R.; Lula-Rocha, Vinícius N. A.; Pereira, J.C.C.; Trindade, Marco A. S.; Filho, Lourival M. S.; Martins, M.; Santana, A. E.; Vianna, J. D. M.

doi:10.1016/j.aop.2022.168986

Cited by 3 publications

(2 citation statements)

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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].…”

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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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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“…However, because of the environment’s fast ability to destroy the delicate coherence of these states, it is challenging to create and observe initially prepared quantum superposed states. As a result, particles and some microscopic objects that have been cooled to a temperature close to absolute zero 6 – 8 thus exhibit such quantum superposition 9 , 10 . On the other hand, topological quantum computing (TPC), where the particle worldlines’ topological properties on a macroscopic scale are all that matter, uses non-Abelian forms of matter to store quantum information in an effort to construct a more robust qubit 11 , 12 .…”

Section: Introductionmentioning

confidence: 99%

Experimental demonstration of classical analogous time-dependent superposition of states

Mahmood

Hasan

2022

Sci Rep

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One of the quantum theory concepts on which quantum information processing stands is superposition. Here we provide experimental evidence for the existence of classical analogues to the coherent superposition of energy states, which is made possible by the Hertz-type nonlinearity of the granules together with the external driving field. The granules’ nonlinear vibrations are projected into the linear modes of vibration, which depend on one another through the phase and form a coherent superposition. We show that the amplitudes of the coherent states form the components of a state vector that spans a two-dimensional Hilbert space, and time enables the system to span its Hilbert space parametrically. Thus, the superposition of states can be exploited in two-state quantum-like computations without decoherence and wave function collapse. Finally, we demonstrate the experimental realization of applying a reversible Hadamard gate to a pure base state that brings the state into a superposition.

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