Universal freezing of quantum correlations within the geometric approach

Abstract

Quantum correlations in a composite system can be measured by resorting to a geometric approach, according to which the distance from the state of the system to a suitable set of classically correlated states is considered. Here we show that all distance functions, which respect natural assumptions of invariance under transposition, convexity, and contractivity under quantum channels, give rise to geometric quantifiers of quantum correlations which exhibit the peculiar freezing phenomenon, i.e., remain constant during the evolution of a paradigmatic class of states of two qubits each independently interacting with a non-dissipative decohering environment. Our results demonstrate from first principles that freezing of geometric quantum correlations is independent of the adopted distance and therefore universal. This finding paves the way to a deeper physical interpretation and future practical exploitation of the phenomenon for noisy quantum technologies.

18 pages, 2 figures. To appear in Nature Scientific Reports

References in corpus (22)

• Quantum discord and the power of one qubit
• Necessary and sufficient condition for non-zero quantum discord
• Sudden Death of Entanglement
• Quantum Non-Markovianity: Characterization, Quantification and Detection
• Experimental quantum computing without entanglement
• Classical and quantum correlations under decoherence
• No-local-broadcasting theorem for quantum correlations
• Frozen Quantum Coherence
• Interpreting quantum discord through quantum state merging
• Operational interpretations of quantum discord
• Linking Quantum Discord to Entanglement in a Measurement
• Operational Significance of Discord Consumption: Theory and Experiment
• Experimental on-demand recovery of entanglement by local operations within non-Markovian dynamics
• Linking a distance measure of entanglement to its convex roof
• Frozen discord in non-Markovian dephasing channels
• Measuring bipartite quantum correlations of an unknown state
• Unifying approach to the quantification of bipartite correlations by Bures distance
• Using Separable Bell-Diagonal States to Distribute Entanglement
• Entanglement control via reservoir engineering in ultracold atomic gases
• Global Quantum discord of multi-qubit states
• Multipartite Quantum Correlations in Open Quantum Systems
• Overcoming ambiguities in classical and quantum correlation measures

Cited by in corpus (8)

• Frozen Quantum Coherence
• Maximal coherence in generic basis
• Inhibiting decoherence of two-level atom in thermal bath by presence of boundaries
• Characterizing nonclassical correlation using affinity
• Universal freezing of asymmetry
• Memory effects in high-dimensional systems faithfully identified by Hilbert-Schmidt speed-based witness
• Frozen and Invariant Quantum Discord under Local Dephasing Noise
• Comparison of Perfect and Quasi Werner States