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arXiv:1902.08764 · IET Control Theory and Applications

Behaviour of two‐level quantum system driven by non‐classical inputs

Abolghasem Daeichian, Farid Sheikholeslam

Published Oct 1, 2013• 13 citations

Abstract

Two‐level quantum system (Qubit) and non‐classical states of light such as single photon and superposition of coherent state are under special attention in quantum technologies such as quantum computing, quantum communication and quantum computers. Hence, behaviour of two‐level system driven by such inputs is important. In this study, the behaviour of two‐level quantum system driven by vacuum state, single photon and superposition of coherent state was investigated by assuming Pauli matrices as system operators in quantum filtering equations. The purity of conditioned and unconditioned states is also analysed when the system is driven by different inputs. The results show that the stochastic master equation (ME)dynamic has more information about the status of system than ME dynamic.

DOI: 10.1049/iet-cta.2013.0195

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Two‐level quantum system (Qubit) and non‐classical states of light such as single photon and superposition of coherent state are under special attention in quantum technologies such as quantum computing, quantum communication and quantum computers. Hence, behaviour of two‐level system driven by such inputs is important. In this study, the behaviour of two‐level quantum system driven by vacuum state, single photon and superposition of coherent state was investigated by assuming Pauli matrices as system operators in quantum filtering equations. The purity of conditioned and unconditioned states is also analysed when the system is driven by different inputs. The results show that the stochastic master equation (ME)dynamic has more information about the status of system than ME dynamic.

Using Gardiner and Collet’s input-output model and the concept of cascade system, we determine the filtering equation for a quantum system driven by light in some specific nonclassical states. The quantum system and electromagnetic field are described by making use of quantum stochastic unitary evolution. We consider two examples of the nonclassical states of field: a combination of vacuum and single photon states and a mixture of two coherent states. The stochastic evolution conditioned on the results of the photon counting and quadrature measurements is described.

The cavity is a fundamental ingredient of quantum optical systems. This paper concerns the behavior of a quantum cavity driven by non-classical field in single-photon state. To this end, the number operator has been opted to reveal the number of photons inside the cavity. Then, the quantum filtering equations have been employed to derive a stochastic master equation for the cavity which is driven by single-photon and is observed by either Homodyne or photon-counting detector. Finally, the state of the cavity has been estimated by the derived equations, and the results have been compared with the conventional master equation.

We consider the problem of optimal estimation of a state of a quantum system interacting with the Bose field being in a mixture of the vacuum and coherent state.The system and electromagnetic field are described by making use of quantum stochastic unitary evolution.We derive stochastic master equation using Gardiner and Collet's input-output theory and the concept of cascade systems.To find the stochastic evolution of the system conditioned on the result of the quadrature measurement of the output field, we extend the compound system by an ancilla driven by the vacuum and generating the desired non-classical state of light.

On one hand a two-level atom is utilized as a qubit in quantum information technology and on the other hand the light in quantum optics is usually in the squeezed state. These reasons motivated us to explore the dynamic of a two-level atom which is driven by a field in the squeezed state. To this goal, the atom operators and the Heisenberg-Langevin equation have been employed. The master equation which reveals the dynamic of the atom has been derived using some features of the squeezed state and doing some algebra. Finally, the dynamic of the two-level atom which is driven by squeezed state field has been simulated by the derived master equation. Also, the effect of atom parameters on the dynamic has been investigated.