Pairwise Concurrence Dynamics: A Four-Qubit Model

Abstract

We examine entanglement dynamics via concurrence among four two-state systems labeled $A,a,B,b$. The four systems are arranged on an addressable "lattice" in such a way that $A$ and $a$ at one location labeled $Aa$ can interact with each other via excitation exchange, and the same for $B$ and $b$ at location $Bb$. The $Aa$ location is prepared entangled with the $Bb$ location, but their mutual complete isolation prevents interaction in the interval between actions of an external addressing agent. There are six pairwise concurrences on the lattice, and we follow their evolution in the interval between external actions. We show how entanglement evolves and may exhibit the non-analytic effect termed entanglement sudden death (ESD), with periodic recovery. These loss and gain processes may be interpreted as entanglement transfer between the subsystems.

9 pages, 12 figures, v3 with minor changes

References in corpus (11)

• Finite-Time Disentanglement via Spontaneous Emission
• Quantum Open System Theory: Bipartite Aspects
• Dark periods and revivals of entanglement in a two qubit system
• Sudden Death of Entanglement: Classical Noise Effects
• Sudden Death of Entanglement of Two Jaynes-Cummings Atoms
• Universal dynamical decoherence control of noisy single-and multi-qubit systems
• Complete disentanglement by partial pure dephasing
• Preventing Multipartite Disentanglement by Local Modulations
• Quantum interference and evolution of entanglement in a system of three-level atoms
• Local aspects of disentanglement induced by spontaneous emission
• Entangling capacities of noisy two-qubit Hamiltonians

Cited by in corpus (65)

• Sudden Death of Entanglement
• Sudden Birth Versus Sudden Death of Entanglement in Multipartite Systems
• Dynamics of the entanglement between two oscillators in the same environment
• Open-System Dynamics of Entanglement
• Experimental investigation of the dynamics of entanglement: Sudden death, complementarity, and continuous monitoring of the environment
• Do all states undergo sudden death of entanglement at finite temperature?
• Genuinely Multipartite Concurrence of N-qubit X-matrices
• Multi-qubit entanglement in bi-directional chiral waveguide QED
• Entanglement invariant for the double Jaynes-Cummings model
• Dynamical phases for the evolution of the entanglement between two oscillators coupled to the same environment
• Evaluating the noise resilience of variational quantum algorithms
• Tri-partite Entanglement Witnesses and Sudden Death
• Entanglement dynamics of two independent Jaynes-Cummings atoms without rotating-wave approximation
• Two-photon entanglement in multi-qubit bi-directional waveguide QED
• Entanglement evolution of two remote and non-identical Jaynes-Cummings atoms
• Entanglement Sudden Death in Three Qubit X-States
• Finite-time destruction of entanglement and non-locality by environmental influences
• Decoherence effects in interacting qubits under the influence of various environments
• Bright and Dark periods in the Entanglement Dynamics of Interacting Qubits in Contact with the Environment
• Non-Markovian entanglement dynamics between two coupled qubits in the same environment
• Non-Markovian Dynamics and Entanglement of Two-level Atoms in a Common Field
• Dynamics of Entanglement Transfer Through Multipartite Dissipative Systems
• Analytical solution and entanglement swapping of a double Jaynes-Cummings model in non-Markovian environments
• Photon exchange and correlations transfer in atom-atom entanglement dynamics
• Coherent State Control of Non-Interacting Quantum Entanglement
• Quantum entanglement and disentanglement of multi-atom systems
• Entanglement between two atoms in a damping Jaynes-Cummings model
• Controlling entanglement sudden death and birth in cavity QED
• Atomic entanglement sudden death in a strongly driven cavity QED system
• Entanglement dynamics for the double Tavis-Cummings model
• Entanglement Dynamics in Two-Qubit Open System Interacting with a Squeezed Thermal Bath via Quantum Nondemolition interaction
• Manipulating entanglement sudden death in two coupled two-level atoms interacting off-resonance with a radiation field: an exact treatment
• Understanding entanglement sudden death through multipartite entanglement and quantum correlations
• Entangled photons from a strongly coupled quantum dot-cavity system
• Robust stationary entanglement of two coupled qubits in independent environments
• Entanglement dynamics in a non-Markovian environment: an exactly solvable model
• Superoperator Analysis of Entanglement in a Four-Qubit Cluster State
• Entanglement Sudden Death as an Indicator of Fidelity in a Four-Qubit Cluster State
• Atoms versus photons as carriers of quantum states
• Division of the two-qubit Hilbert space according to the entanglement sudden death under composite noise environment
• Quantum Correlation Dynamics in Controlled Two-Coupled-Qubit Systems
• Tripartite Entanglement Dynamics in the presence of Non-Markovian Environment
• Effects of cavity-cavity interaction on the entanglement dynamics of a generalized double Jaynes-Cummings model
• Modulated Entanglement Evolution Via Correlated Noises
• Entanglement transfer between bipartite systems
• Quantum discord dynamics of two qubits in the single-mode cavities
• Effect of retardation on the dynamics of entanglement between atoms
• Entanglement dynamics of two-qubit system in different types of noisy channels
• Optical Detection and Storage of Entanglement in Plasmonically Coupled Quantum Dot Qubits
• Effect of retardation in the atom-field interaction on entanglement in a double Jaynes-Cummings system
• Geometry in the entanglement dynamics of the double Jaynes-Cummings model
• Emergence of Intra-Particle Entanglement and Time-Varying Violation of Bell's Inequality in Dirac Matter
• Entanglement Sudden Death in a Quantum Memory
• Entanglement without Dissipation: A Touchstone for an exact Comparison of Entanglement Measures
• Asymptotic entanglement sudden death in two atoms with dipole-dipole and Ising interactions coupled to a radiation field at non-zero detuning
• Dynamics of a multipartite hybrid quantum system with beamsplitter, dipole-dipole, and Ising interactions
• Effect of Interatomic Separation on Entanglement Dynamics in a Two-Atom Two-Mode Model
• Entanglement of Two Jaynes-Cummings Atoms In Single Excitation Space
• Linear atomic quantum coupler
• Entanglement increase from local interaction in the absence of initial quantum correlation in the environment and between the system and the environment
• Chirality-assisted enhancement of tripartite entanglement in waveguide QED
• Resilient Intraparticle Entanglement and its Manifestation in Spin Dynamics of Disordered Dirac Materials
• Collapse and Revival Oscillation in Double Jaynes-Cummings Model
• Positivity of the assignment map implies complete positivity of the reduced dynamics
• Quantum-state transfer between atom and cavity field in Jaynes-Cummings model