Quantum properties and dynamics of X states

Abstract

X states are a broad class of two-qubit density matrices that generalize many states of interest in the literature. In this work, we give a comprehensive account of various quantum properties of these states, such as entanglement, negativity, quantum discord and other related quantities. Moreover, we discuss the transformations that preserve their structure both in terms of continuous time evolution and discrete quantum processes.

13 pages

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Cited by in corpus (27)

• Toward computability of trace distance discord
• Quantum discord for two-qubit X states: Analytical formula with very small worst-case error
• Entanglement universality of two-qubit X-states
• Two coupled qubits interacting with a thermal bath: A comparative study of different models
• Entanglement swapping and swapped entanglement
• Ergotropy from quantum and classical correlations
• Analytical solutions and criteria for the quantum discord of two-qubit X-states
• Calculation of quantum discord in arbitrary dimensions, especially for X- and other specialized states
• A Variational Approach to the Quantum Separability Problem
• Attainable and usable coherence in X states over Markovian and non-Markovian channels
• Maximizing genuine multipartite entanglement of N mixed qubits
• On the role of initial coherence in the spin phase-space entropy production rate
• Local generation of entanglement with Redfield dynamics
• Maximally genuine multipartite entangled mixed X-states of N-qubits
• Emergence of $X$ states in a quantum impurity model
• Contextuality and Quantum Discord
• Complete complementarity relations in system-environment decoherent dynamics
• Non-maximally entangled mixed states of X and non-X types as teleportation channels
• Local available quantum correlations of non-symmetric X states
• Local available quantum correlations of X states: The symmetric and anti-symmetric cases
• Quantum Euler relation for local measurements
• Entanglement dynamics via Geometric phases in Trapped-ions
• Local-available quantum correlation swapping in one-parameter X states
• Entanglement generation through Markovian feed-back in open two-qubit systems
• Optimizing entanglement in two-qubit systems
• Ancilla-Assisted Process Tomography with Bipartiete Mixed Separable States
• Comparing coherence measures for X states: Can quantum states be ordered based on quantum coherence?