Universal freezing of quantum correlations within the geometric approach
arXiv:1411.2978 · doi:10.1038/srep10177
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 (73)
- Quantum entanglement
- Introducing Quantum Discord
- Quantifying Coherence
- Classical, quantum and total correlations
- Quantifying Entanglement
- The classical-quantum boundary for correlations: discord and related measures
- The logarithmic negativity: A full entanglement monotone that is not convex
- Entanglement Measures and Purification Procedures
- 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
- Unified View of Quantum and Classical Correlations
- Entanglement monotones
- Information-theoretic aspects of quantum inseparability of mixed states
- Sudden transition between classical and quantum decoherence
- Characterizing Nonclassical Correlations via Local Quantum Uncertainty
- Classical and quantum correlations under decoherence
- Almost all quantum states have non-classical correlations
- Quantum discord as resource for remote state preparation
- Experimental investigation of classical and quantum correlations under decoherence
- No-local-broadcasting theorem for quantum correlations
- Measures and applications of 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
- Geometric quantum discord through the Schatten 1-norm
- Quantum discord determines the interferometric power of quantum states
- The problem with the geometric discord
- Dynamics of quantum correlations in two-qubit systems within non-Markovian environments
- Operational Significance of Discord Consumption: Theory and Experiment
- Quantum Discord and the Geometry of Bell-Diagonal States
- Entanglement measures and the Hilbert-Schmidt distance
- Behavior of Quantum Correlations under Local Noise
- Revival of quantum correlations without system-environment back-action
- Are general quantum correlations monogamous?
- Comparative investigation of the freezing phenomena for quantum correlations under nondissipative decoherence
- Environment-induced sudden transition in quantum discord dynamics
- Experimental on-demand recovery of entanglement by local operations within non-Markovian dynamics
- Negativity of quantumness and its interpretations
- Geometric quantum discord with Bures distance
- Recovering Entanglement by Local Operations
- Theoretical and experimental aspects of quantum discord and related measures
- Experimental detection of non-classical correlations in mixed state quantum computation
- A new entanglement measure induced by the Hilbert-Schmidt norm
- Creating quantum correlations through local non-unitary memoryless channels
- Hierarchy and dynamics of trace distance correlations
- Linking a distance measure of entanglement to its convex roof
- Necessary and sufficient conditions for local creation of quantum correlation
- Distance between quantum states in presence of initial qubit-environment correlations: a comparative study
- Frozen discord in non-Markovian dephasing channels
- Dynamics of geometric and entropic quantifiers of correlations in open quantum systems
- Measuring bipartite quantum correlations of an unknown state
- Observation of environment-induced double sudden transitions in geometric quantum correlations
- Experimental distribution of entanglement with separable carriers
- Unifying approach to the quantification of bipartite correlations by Bures distance
- The quantumness of correlations revealed in local measurements exceeds entanglement
- Experimental entanglement activation from discord in a programmable quantum measurement
- Geometric quantum discord with Bures distance: the qubit case
- Emergence of the pointer basis through the dynamics of correlations
- Necessary and sufficient conditions of freezing phenomena of quantum discord under phase damping
- Using Separable Bell-Diagonal States to Distribute Entanglement
- Geometric classical and total correlations via trace distance
- Entanglement control via reservoir engineering in ultracold atomic gases
- Remarks on entanglement measures and non-local state distinguishability
- Global Quantum discord of multi-qubit states
- Comparison of non-Markovianity criteria in a qubit system under random external fields
- Discord of response
- Multipartite Quantum Correlations in Open Quantum Systems
- Overcoming ambiguities in classical and quantum correlation measures
- Predominance of entanglement of formation over quantum discord under quantum channels
Cited by in corpus (38)
- Quantum Coherence as a Resource
- Measures and applications of quantum correlations
- Frozen Quantum Coherence
- Quantum coherence in multipartite systems
- Quantum coherence and geometric quantum discord
- Quantum discord and its allies: a review
- Observation of time-invariant coherence in a room temperature quantum simulator
- Distributed correlations and information flows within a hybrid multipartite quantum-classical system
- Demonstrating quantum coherence and metrology that is resilient to transversal noise
- Maximal coherence in generic basis
- Dynamics and thermodynamics of a central spin immersed in a spin bath
- Relations between entanglement and purity in non-Markovian dynamics
- Non-Markovianity and coherence of a moving qubit inside a leaky cavity
- Overview on the phenomenon of two-qubit entanglement revivals in classical environments
- Inhibiting decoherence of two-level atom in thermal bath by presence of boundaries
- Effect of local filtering on Freezing Phenomena of Quantum Correlation
- Broadcasting of Quantum Correlations: Possibilities & Impossibilities
- Experimentally freezing quantum discord in a dissipative environment using dynamical decoupling
- Conclusive Identification of Quantum Channels via Monogamy of Quantum Correlations
- Scale-invariant freezing of entanglement
- Sudden Freezing and Thawing of Entanglement Sharing in a Shrunken Volume
- Dissipative dynamics of quantum correlation quantifiers under decoherence channels
- Non-Markovianity through Multipartite Correlation Measures
- Scalable quantum computing model in the circuit-QED lattice with circulator function
- Characterizing nonclassical correlation using affinity
- Entanglement thresholds for displaying the quantum nature of teleportation
- Generalized approach to quantify correlations in bipartite quantum systems
- Measurement - induced qudit geometric discord
- Universal freezing of asymmetry
- The sudden change phenomenon of quantum discord
- Adiabatic freezing of long-range quantum correlations in spin chains
- Memory effects in high-dimensional systems faithfully identified by Hilbert-Schmidt speed-based witness
- Frozen and Invariant Quantum Discord under Local Dephasing Noise
- Adiabatic freezing of entanglement with insertion of defects in a one-dimensional Hubbard model
- Computing coherence vectors and correlation matrices, with application to quantum discord quantification
- Behavior of quantum correlations under nondissipative decoherence by means of the correlation matrix
- Comparison of Perfect and Quasi Werner States
- Characterising two-sided quantum correlations beyond entanglement via metric-adjusted f-correlations