Quasiprobability distributions in open quantum systems: Spin-qubit systems

Thapliyal, Kishore; Banerjee, Subhashish; Pathak, Anirban; Omkar, S.; Ravishankar, V.

doi:10.1016/j.aop.2015.07.029

Cited by 38 publications

(42 citation statements)

References 85 publications

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“…The AD noise simulates the dissipative interaction of a quantum system with a vacuum bath. A perception about the importance of this noise model can be obtained easily if we consider the large number of theoretical and experimental works on this noise model reported in the recent past ( [27,34,40,42,43,44] and references therein). The Kraus operators of an AD channel are given by [28,29,32]…”

Section: Ad Noise Modelmentioning

confidence: 99%

“…SGAD channels are a generalization of the AD family of channels, which includes the GAD and involves the dissipative interaction with a non-zero temperature bath with non-vanishing squeezing [32]. The squeezing, being a quantum resource, provides an edge over GAD channels, which study a dissipative interaction with a finite temperature bath without squeezing [39,40,41]. Hence, the choice of SGAD channel enables investigations into both non-zero as well as vanishing regimes of squeezing.…”

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confidence: 99%

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A comparative study of protocols for secure quantum communication under noisy environment: single-qubit-based protocols versus entangled-state-based protocols

Sharma

Thapliyal

Pathak

et al. 2016

Quantum Inf Process

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The effect of noise on various protocols of secure quantum communication has been studied. Specifically, we have investigated the effect of amplitude damping, phase damping, squeezed generalized amplitude damping, Pauli type as well as various collective noise models on the protocols of quantum key distribution, quantum key agreement, quantum secure direct quantum communication and quantum dialogue. From each type of protocol of secure quantum communication, we have chosen two protocols for our comparative study; one based on single qubit states and the other one on entangled states. The comparative study reported here has revealed that single-qubit-based schemes are generally found to perform better in the presence of amplitude damping, phase damping, squeezed generalized amplitude damping noises, while entanglement-based protocols turn out to be preferable in the presence of collective noises. It is also observed that the effect of noise entirely depends upon the number of rounds of quantum communication involved in a scheme of quantum communication. Further, it is observed that squeezing, a completely quantum mechanical resource present in the squeezed generalized amplitude channel, can be used in a beneficial way as it may yield higher fidelity compared to the corresponding zero squeezing case.

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Section: Ad Noise Modelmentioning

confidence: 99%

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confidence: 99%

A comparative study of protocols for secure quantum communication under noisy environment: single-qubit-based protocols versus entangled-state-based protocols

Sharma

Thapliyal

Pathak

et al. 2016

Quantum Inf Process

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“…Therefore, in comparison of the Bob's qubits, the Alice's qubits or the quantum state to be teleported |I , which remain at the sender's end, are hardly affected due to noise. The effect of AD noise under similar assumptions has been analyzed for three qubit GHZ and W states in the recent past [43]. The average fidelity for all four quasi Bell states, when Bob's qubit is subjected to AD channel while the qubits not traveling through the channel are assumed to be unaffected due to noise, is obtained as…”

Section: Effect Of Noise On Average Fidelitymentioning

confidence: 99%

Teleportation of a qubit using entangled non-orthogonal states: a comparative study

Sisodia

Verma

Thapliyal

et al. 2017

Quantum Inf Process

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The effect of non-orthogonality of an entangled non-orthogonal state based quantum channel is investigated in detail in the context of the teleportation of a qubit. Specifically, average fidelity, minimum fidelity and minimum assured fidelity (MASFI) are obtained for teleportation of a single qubit state using all the Bell type entangled non-orthogonal states known as quasi Bell states. Using Horodecki criterion, it is shown that the teleportation scheme obtained by replacing the quantum channel (Bell state) of the usual teleportation scheme by a quasi Bell state is optimal. Further, the performance of various quasi Bell states as teleportation channel is compared in an ideal situation (i.e., in the absence of noise) and under different noise models (e.g., amplitude and phase damping channels). It is observed that the best choice of the quasi Bell state depends on the amount non-orthogonality, both in noisy and noiseless case. A specific quasi Bell state, which was found to be maximally entangled in the ideal conditions, is shown to be less efficient as a teleportation channel compared to other quasi Bell states in particular cases when subjected to noisy channels. It has also been observed that usually the value of average fidelity falls with an increase in the number of qubits exposed to noisy channels (viz., Alice's, Bob's and to be teleported qubits), but the converse may be observed in some particular cases.

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“…Thus, the notion of PT symmetry has proved to be a useful tool in probing the behavior of dynamics of the systems described by effective Hamiltonians which correspond to non-Hermititan systems. Since, the degree of quantumness of a system is controlled by the underlying dynamics, this naturally invites one to explore the interplay between nonclassicality and PT symmetry in such systems [21][22][23][24][25][26][27].…”

Section: Introductionmentioning

confidence: 99%

Interplay between nonclassicality and PT symmetry in an effective two-level system with open system effects

2019

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A three level atom in Λ configuration is reduced to an effective two level system, under appropriate conditions, and its PT symmetric properties are investigated. This effective qubit system when subjected to a beam-splitter type of interaction, it provides the scope of directly (indirectly) probing the nonclassical properties of the output (input) state. Here, we study nonclassical properties of the output state by using some well known measures of nonclassical correlations like the measurement induced disturbance, concurrence and negativity. The nonclassical features are found to enhance in the PT symmetric (PTS) phase compared to the PT symmetry broken (PTSB) phase. Further, the output ports of the beam-splitter are subjected to different quantum noise channels, both non-Markovian, e.g., random telegraph noise as well as Markovian, e.g., phase damping, and amplitude damping noise. The application of noise channels is found to decrease the degree of nonclassicality, though continuing to exhibit distinct behavior in PTS and PTSB phases, with the dominant behavior appearing in the former case.

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Quasiprobability distributions in open quantum systems: Spin-qubit systems

Cited by 38 publications

References 85 publications

A comparative study of protocols for secure quantum communication under noisy environment: single-qubit-based protocols versus entangled-state-based protocols

A comparative study of protocols for secure quantum communication under noisy environment: single-qubit-based protocols versus entangled-state-based protocols

Teleportation of a qubit using entangled non-orthogonal states: a comparative study

Interplay between nonclassicality and PT symmetry in an effective two-level system with open system effects

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