Dephasing-Induced Distribution of Entanglement in Tripartite Quantum Systems

Abstract

Preserving multipartite entanglement amidst decoherence poses a pivotal challenge in quantum information processing. However, assessing multipartite entanglement in mixed states amid decoherence presenting a formidable task. Employing reservoir memory offers a means to attenuate the decoherence dynamics impacting multipartite entanglement, thereby slowing its degradation. One of the important measures which can be implemented to quantify entanglement is the relative entropy of entanglement. Although this measure is not monogamous \cite{horodeckirev2009}, it can universally be applied to both pure and mixed states. Based on this fundamental novelty, in this work, therefore, we introduce a quantifier which will investigate how entanglement remain distributed among the qubits of multipartite states when these states are exposed to multipartite dephasing setting. For our study we use various pure and mixed tripartite states subjected to finite temperature in both Markovian and non-Markovian local/common bath. Here, we consider situations where the three qubits interact with a common reservoir as well as a local bosonic reservoir. We also show that the robustness of a quantum system to decoherence depends on the distribution of entanglement and its interaction with various configurations of the bath. When each qubit has its own local environment, the system exhibits different distribution dynamics compared to when all three qubits share a common environment with one exception regarding a mixed state.

Accepted for publication in Modern Physics Letters A

References in corpus (55)

• Quantum entanglement
• Quantum Cryptography
• Entanglement of Formation of an Arbitrary State of Two Qubits
• A computable measure of entanglement
• Decoherence, einselection, and the quantum origins of the classical
• Three qubits can be entangled in two inequivalent ways
• Distributed Entanglement
• Quantifying Entanglement
• Decoherence Free Subspaces for Quantum Computation
• Dynamical Decoupling of Open Quantum Systems
• Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
• Entanglement Measures and Purification Procedures
• Non-Markovian dynamics in open quantum systems
• Noiseless Quantum Codes
• The Role of Relative Entropy in Quantum Information Theory
• Observation of three-photon Greenberger-Horne-Zeilinger entanglement
• Entanglement and non-Markovianity of quantum evolutions
• Non-Markovian effects on the dynamics of entanglement
• Experimental Quantum Error Correction
• Quantum repeaters: From quantum networks to the quantum internet
• Creation of Entanglement by Interaction with a Common Heat Bath
• Sudden Birth Versus Sudden Death of Entanglement in Multipartite Systems
• On the degree of non-Markovianity of quantum evolution
• Universal Control of Decoupled Quantum Systems
• Dynamics of the entanglement between two oscillators in the same environment
• A potential multipartide entanglement measure
• Classification of multi-qubit mixed states: separability and distillability properties
• Sudden death and sudden birth of entanglement in common structured reservoirs
• Concurrence of mixed multi-partite quantum states
• Scaling laws for the decay of multiqubit entanglement
• Entangled three-qubit states without concurrence and three-tangle
• Convex-roof extended negativity as an entanglement measure for bipartite quantum systems
• Quantum regression theorem and non-Markovianity of quantum dynamics
• Polarization Entangled W State using Parametric Down-Conversion
• Tri-partite Entanglement Witnesses and Sudden Death
• Entropic uncertainty relations for Markovian and non-Markovian processes under a structured bosonic reservoir
• Non-classical field state stabilization in a cavity by reservoir engineering
• Complex quantum networks as structured environments: engineering and probing
• The short-time and long-time behaviors of non-Markovianity measure using two-time correlation functions in open quantum systems
• Three-Tangle for Rank-3 Mixed States: mixture of Greenberger-Horne-Zeilinger, W and flipped W states
• Entanglement Sudden Death in Three Qubit X-States
• Non-Markovian finite-temperature two-time correlation functions of system operators of a pure-dephasing model
• Entanglement evolution of two qubits under noisy environments
• Non-Markovianity and memory effects in quantum open systems
• Decoherence-free subspace and disentanglement dynamics for two qubits in a common non-Markovian squeezed reservoir
• Complementary relations of entanglement, coherence, steering and Bell nonlocality inequality violation in three-qubit states
• Complete characterization of quantum correlations by randomized measurements
• Decoherence of two qubits in a non-Markovian reservoir without rotating-wave approximation
• Fragility of quantum correlations and coherence in a multipartite photonic system
• Quantifying genuine tripartite entanglement by reshaping the state
• Einstein-Podolsky-Rosen Steering Criterion and Monogamy Relation via Correlation Matrices in Tripartite Systems
• Exploring quantum properties of bipartite mixed states under coherent and incoherent basis
• A heat bath can generate all classes of three-qubit entanglement
• Quantum tomography of three-qubit generalized Werner states
• Six-dimensional heavenly equation. Dressing scheme and the hierarchy