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

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

Entanglement of formation of pair of quantum dots

S. Sergio Sánchez, José Javier Sánchez Mondragón, J. C. García-Melgarejo, A. Alejo-Molina

Published Aug 10, 2011• 0 citations
Publisher

Abstract

The Entanglement of quantum systems is a key aspect in order to understand the dynamics and behavior of mixed systems (density matrix) as bipartite systems of quantum bits (q-bits). A quantifiable measure widely used is the "entanglement of formation" of a mixed state, defined as the minimum number of singlets needed to create an ensemble of pure states that represents the density matrix of the system. Considering a double quantum dot system coupled cavity type Jaynes-Cummings investigate the entanglement between two quantum dots, immersed each in its own cavity, showing analytically that entanglement has a very interesting effects such as temporal evolution including the so-called sudden death effect.

DOI
10.1117/12.903406

Related papers

Sudden Death of Entanglement of two Quantum Dots Embedded in its Own Cavity

S. Sánchez-Sánchez, José Javier Sánchez Mondragón, F. R. Castillo Soria +2 more

Entanglement of quantum systems is a key aspect to understanding the dynamics and behavior of mixed systems (density matrix) as bipartite quantum bits (qubits).Thus we need to have a reliable and accurate way to measure the entanglement degree of the system, i.e., how it evolves, so that raises several approaches to meet these demands.A quantifiable measure widely used is the "entanglement of formation" of a mixed state, defined as the minimum number required of "singlets" to create a set of pure states that represents the density matrix of the system.In this paper we consider a system of two semiconductor quantum dots embedded in its own cavity and coupled to the internal mode field of cavity type Jaynes-Cummings.The entanglement between the two quantum dots is investigated, and we show analytically that entanglement has very interesting, effects such as time evolution including the effect called sudden death.

Research in Computing Science•Dec 31, 2017•0 citations

Entanglement of a Pair of Quantum Bits

Scott Hill, William K. Wootters

The ``entanglement of formation'' of a mixed state \ensuremath{\rho} of a bipartite quantum system can be defined as the minimum number of singlets needed to create an ensemble of pure states that represents \ensuremath{\rho}. We find an exact formula for the entanglement of formation for all mixed states of two qubits having no more than two nonzero eigenvalues, and we report evidence suggesting that the formula is valid for all states of this system.

arXiv:quant-ph/9703041•Physical Review Letters•Jun 30, 1997•2,822 citations

Entanglement of Formation of an Arbitrary State of Two Qubits

William K. Wootters

The entanglement of a pure state of a pair of quantum systems is defined as the entropy of either member of the pair. The entanglement of formation of a mixed state $\ensuremath{\rho}$ is the minimum average entanglement of an ensemble of pure states that represents \ensuremath{\rho}. An earlier paper conjectured an explicit formula for the entanglement of formation of a pair of binary quantum objects (qubits) as a function of their density matrix, and proved the formula for special states. The present paper extends the proof to arbitrary states of this system and shows how to construct entanglement-minimizing decompositions.

arXiv:quant-ph/9709029•Physical Review Letters•Mar 9, 1998•8,283 citations

Sudden death of entanglement of two Jaynes–Cummings atoms

Muhammed Yönaç, Ting Yu, Joseph H. Eberly

We investigate entanglement dynamics of two isolated atoms, each in its own Jaynes–Cummings cavity. We show analytically that initial entanglement has an interesting subsequent time evolution, including the so-called sudden death effect.

arXiv:quant-ph/0602206•Journal of Physics B Atomic Molecular and Optical Physics•Jul 24, 2006•320 citations

Generation and evolution of entanglement in coupled quantum dots interacting with a quantized cavity field

Arnab Mitra, Reeta Vyas, Daniel B. Erenso

The generation of entanglement between two identical, interacting quantum dots---initially in ground states---by a coherent field and the subsequent time evolution of the entanglement are studied by calculating the concurrence between the two dots. The results predict that while it is possible to generate entanglement (or entanglement of formation, as defined for a mixed state) between the two dots, at no time do the dots become fully entangled to each other or is a maximally entangled Bell state ever achieved. We also observe that the degree of entanglement increases with an increase in the photon number inside the cavity and a decrease in the dot-photon coupling. The behavior of the two-dot system, initially prepared in an entangled state and interacting with thermal light, is also studied.

Physical Review A•Nov 20, 2007•16 citations

Sudden Death of Entanglement Between Coupled Quantum Dots in a Cavity

Arnab Mitra, Hsiao-harng Shiau, Reeta Vyas

We study generation and time evolution of entanglement between two coupled quantum dots inside a driven cavity. In the presence of dissipation the entanglement may remain stationary, decay asymptotically, or show sudden death.

Frontiers in Optics•Jan 1, 2010•0 citations
The Entanglement of quantum systems is a key aspect in order to understand the dynamics and behavior of mixed systems (density matrix) as bipartite systems of quantum bits (q-bits). A quantifiable measure widely used is the "entanglement of formation" of a mixed state, defined as the minimum number of singlets needed to create an ensemble of pure states that represents the density matrix of the system. Considering a double quantum dot system coupled cavity type Jaynes-Cummings investigate the entanglement between two quantum dots, immersed each in its own cavity, showing analytically that entanglement has a very interesting effects such as temporal evolution including the so-called sudden death effect.
Entanglement of quantum systems is a key aspect to understanding the dynamics and behavior of mixed systems (density matrix) as bipartite quantum bits (qubits).Thus we need to have a reliable and accurate way to measure the entanglement degree of the system, i.e., how it evolves, so that raises several approaches to meet these demands.A quantifiable measure widely used is the "entanglement of formation" of a mixed state, defined as the minimum number required of "singlets" to create a set of pure states that represents the density matrix of the system.In this paper we consider a system of two semiconductor quantum dots embedded in its own cavity and coupled to the internal mode field of cavity type Jaynes-Cummings.The entanglement between the two quantum dots is investigated, and we show analytically that entanglement has very interesting, effects such as time evolution including the effect called sudden death.
The entanglement of a pure state of a pair of quantum systems is defined as the entropy of either member of the pair. The entanglement of formation of a mixed state $\ensuremath{\rho}$ is the minimum average entanglement of an ensemble of pure states that represents \ensuremath{\rho}. An earlier paper conjectured an explicit formula for the entanglement of formation of a pair of binary quantum objects (qubits) as a function of their density matrix, and proved the formula for special states. The present paper extends the proof to arbitrary states of this system and shows how to construct entanglement-minimizing decompositions.
The generation of entanglement between two identical, interacting quantum dots---initially in ground states---by a coherent field and the subsequent time evolution of the entanglement are studied by calculating the concurrence between the two dots. The results predict that while it is possible to generate entanglement (or entanglement of formation, as defined for a mixed state) between the two dots, at no time do the dots become fully entangled to each other or is a maximally entangled Bell state ever achieved. We also observe that the degree of entanglement increases with an increase in the photon number inside the cavity and a decrease in the dot-photon coupling. The behavior of the two-dot system, initially prepared in an entangled state and interacting with thermal light, is also studied.