Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Frontiers in Optics

An efficient numerical method for the calculation of global discord of coupled quantum dots

Willa Rawlinson, Reeta Vyas

Published Jan 1, 2016• 0 citations
Publisher

Abstract

We present an efficient numerical method for calculating global discord for coupled quantum dots interacting with a quantized cavity field. Speed tests and interesting results are presented for two, three, and four quantum dots.
DOI
10.1364/fio.2016.jw4a.191

Related papers

Time Evolution of Global Quantum Discord in Three Coupled Quantum Dots interacting with a Quantized Cavity Field

Willa Rawlinson, Reeta Vyas

Evolution of Global Quantum Discord for three-coupled quantum dots interacting with a quantized light field in a lossless cavity is studied and its correlations with probabilities of the dots in the entangled states are explored.

Frontiers in Optics•Jan 1, 2014•0 citations

Global Discord of Three Quantum Dots in a Driven Cavity with Dissipation in the Steady State

Willa Rawlinson, Reeta Vyas

Global Discord is calculated for three identical quantum dots interacting with a quantized cavity field in presence of dissipation, detuning, and driving field in the steady state and correlations with output field behavior is explored.

Frontiers in Optics•Jan 1, 2015•0 citations

Discord and Global Discord in Systems of Coupled Quantum Dots in Driven Cavities with Dissipation, and a Method for the Calculation of Global Discord

Willa Rawlinson

In the field of quantum information, which is subdivided into quantum computing and quantum cryptography, quantum correlations are essential for a performance or security boost not achievable with classical means. Various quantum correlation measures exist for evaluating a state’s potential to be a qubit (quantum bit). Entanglement, or nonseparability of quantum states, is the older, better known class of measures. However, for a mixed state, quantum entanglement is an incomplete measure of quantumness. Quantum discord, and its multibody extension global discord, encompass all quantum correlations. We study systems of coupled quantum dots using these measures. We study the discord of two quantum dots in the steady state with dissipation and detuning. The entanglement of the system was previously studied by Mitra and Vyas. We compare quantum discord to entanglement, finding high discord in an unentangled region, namely the upper branch of the bistability curve, where the driving field is high. By adjusting the detuning between the dots and the driving field, we can optimize the quantum discord and entanglement. We present an efficient numerical method for calculating global discord and analyze its speed and scaling. We verify that the method works for two, three, and four qubits and run speed tests. We present further simplifications that greatly enhance the scaling of the method with system size provided that the bodies are identical, but which also improve the speed otherwise. We compare our system of two quantum dots to an otherwise identical system with three quantum dots. We observe tristability in the cavity field as a function of driving field. The high field limit of global discord is a larger portion of the maximum than the discord in the same limit for the system of two quantum dots. The improvement in correlations due to detuning is still present but diminished compared to that in our two quantum dot system. The decreased effectiveness of detuning is, however, offset by the increased effect of high dot coupling, whereby the peak found in said limit with no detuning may exceed the asymptotic value without the aid of detuning.

Journal of the Arkansas Academy of Science•Jan 1, 2016•0 citations

Quantum Discord and Entanglement for Two Coupled Quantum Dots in a Driven Cavity

Willa Rawlinson, Arnab Mitra, Hsiao-harng Shiau +1 more

Quantum Discord and Geometric Discord are calculated and compared with entanglement for two coupled quantum dots in a coherently driven cavity in the presence of dot as well as cavity decay and detuning.

Frontiers in Optics•Jan 1, 2013•0 citations

Entanglement of Coupled Quantum Dots Interacting with a Quantized Cavity Field

Arnab Mitra, Reeta Vyas

We study the dynamical evolution of entanglement for two and three coupled quantum dots in a high-Q cavity interacting with a quantized cavity field initially prepared in a squeezed coherent or thermal state.

Frontiers in Optics•Jan 1, 2005•0 citations

Global Quantum Discord and Entanglement in two Coupled Double Quantum Dots AlGaAs/GaAs

Hicham Ait Mansour, Mustapha Faqir, M. El Baz

International Journal of Theoretical Physics•Mar 9, 2023•10 citations
In the field of quantum information, which is subdivided into quantum computing and quantum cryptography, quantum correlations are essential for a performance or security boost not achievable with classical means. Various quantum correlation measures exist for evaluating a state’s potential to be a qubit (quantum bit). Entanglement, or nonseparability of quantum states, is the older, better known class of measures. However, for a mixed state, quantum entanglement is an incomplete measure of quantumness. Quantum discord, and its multibody extension global discord, encompass all quantum correlations. We study systems of coupled quantum dots using these measures. We study the discord of two quantum dots in the steady state with dissipation and detuning. The entanglement of the system was previously studied by Mitra and Vyas. We compare quantum discord to entanglement, finding high discord in an unentangled region, namely the upper branch of the bistability curve, where the driving field is high. By adjusting the detuning between the dots and the driving field, we can optimize the quantum discord and entanglement. We present an efficient numerical method for calculating global discord and analyze its speed and scaling. We verify that the method works for two, three, and four qubits and run speed tests. We present further simplifications that greatly enhance the scaling of the method with system size provided that the bodies are identical, but which also improve the speed otherwise. We compare our system of two quantum dots to an otherwise identical system with three quantum dots. We observe tristability in the cavity field as a function of driving field. The high field limit of global discord is a larger portion of the maximum than the discord in the same limit for the system of two quantum dots. The improvement in correlations due to detuning is still present but diminished compared to that in our two quantum dot system. The decreased effectiveness of detuning is, however, offset by the increased effect of high dot coupling, whereby the peak found in said limit with no detuning may exceed the asymptotic value without the aid of detuning.