Entanglement, purity and energy: Two qubits vs Two modes

Abstract

We study the relationship between the entanglement, mixedness and energy of two-qubit and two-mode Gaussian quantum states. We parametrize the set of allowed states of these two fundamentally different physical systems using measures of entanglement, mixedness and energy that allow us to compare and contrast the two systems using a phase diagram. This phase diagram enables one to clearly identify not only the physically allowed states, but the set of states connected under an arbitrary quantum operation. We pay particular attention to the maximally entangled mixed states (MEMS) of each system. Following this we investigate how efficiently one may transfer entanglement from two-mode to two-qubit states.

13 figures. References and 1 figure added

References in corpus (24)

• A computable measure of entanglement
• Peres-Horodecki separability criterion for continuous variable systems
• Inseparability criterion for continuous variable systems
• On the volume of the set of mixed entangled states
• Experimental demonstration of quantum memory for light
• Extremal entanglement and mixedness in continuous variable systems
• Maximal entanglement versus entropy for mixed quantum states
• A comparison of entanglement measures
• Symplectic invariants, entropic measures and correlations of Gaussian states
• Maximally entangled mixed states of two qubits
• Gaussian measures of entanglement versus negativities: the ordering of two-mode Gaussian states
• Maximally entangled mixed states in two qubits
• |0>|1>+|1>|0>
• A comparison of the entanglement measures negativity and concurrence
• Gaussian Entanglement of Formation
• Determination of continuous variable entanglement by purity measurements
• Complete conditions for entanglement transfer
• Congruences and Canonical Forms for a Positive Matrix: Application to the Schweinler-Wigner Extremum Principle
• Entanglement between two superconducting qubits via interaction with non-classical radiation
• Entanglement transfer from continuous variables to qubits
• Concurrence vs. purity: Influence of local channels on Bell states of two qubits
• Continuous-variable Werner state: separability, nonlocality, squeezing and teleportation
• Enhanced dynamical entanglement transfer with multiple qubits
• Entanglement-induced state ordering under local operations

Cited by in corpus (18)

• Entanglement in continuous variable systems: Recent advances and current perspectives
• When are correlations quantum? -- Verification and quantification of entanglement by simple measurements
• Improving the entanglement transfer from continuous variable systems to localized qubits using non Gaussian states
• Decoherence and Entanglement Dynamics in Fluctuating Fields
• Tripartite entanglement transfer from flying modes to localized qubits
• Vortex entanglement in Bose-Einstein condensates coupled to Laguerre-Gauss beams
• Energy dependence of the entanglement entropy of composite boson (quasiboson) systems
• Understanding entanglement sudden death through multipartite entanglement and quantum correlations
• Quantum correlations of two-mode Gaussian systems in a thermal environment
• Entanglement dynamics of bipartite system in squeezed vacuum reservoirs
• Entanglement in two-mode continuous variable open quantum systems
• Passing quantum correlations to qubits using any two-mode state
• Geometry in the entanglement dynamics of the double Jaynes-Cummings model
• Quantification of Quantum Correlations in Two-Beam Gaussian States Using Photon-Number Measurements
• When Non-Gaussian States are Gaussian: Generalization of Non-Separability Criterion for Continuous Variables
• Purity Temperature Dependent for Coupled Harmonic Oscillators
• Composite Fermions as Deformed Oscillators: Wavefunctions and Entanglement
• Rényi-2 quantum correlations of two-mode Gaussian systems in a thermal environment