Comparative investigation of the freezing phenomena for quantum correlations under nondissipative decoherence
arXiv:1304.1163 · doi:10.1103/PhysRevA.88.012120
Abstract
We show that the phenomenon of frozen discord, exhibited by specific classes of two-qubit states under local nondissipative decoherent evolutions, is a common feature of all known bona fide measures of general quantum correlations. All those measures, despite inducing typically inequivalent orderings on the set of nonclassically correlated states, return a constant value in the considered settings. Every communication protocol which relies on quantum correlations as resource will run with a performance completely unaffected by noise in the specified dynamical conditions. We provide a geometric interpretation of this
7 pages, 2 figures, 1 table; title changed to match published version
References in corpus (23)
- Quantum discord and the power of one qubit
- Necessary and sufficient condition for non-zero quantum discord
- Experimental quantum computing without entanglement
- On the quantum, classical and total amount of correlations in a quantum state
- Classical and quantum correlations under decoherence
- 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
- All non-classical correlations can be activated into distillable entanglement
- Operational Significance of Discord Consumption: Theory and Experiment
- Quantum discord bounds the amount of distributed entanglement
- A measure of the non-Gaussian character of a quantum state
- Quantum cost for sending entanglement
- Witnessed entanglement and the geometric measure of quantum discord
- Frozen discord in non-Markovian dephasing channels
- Measuring bipartite quantum correlations of an unknown state
- Quantum resources for hybrid communication via qubit-oscillator states
- Quantum-correlating power of local quantum channels
- Using Separable Bell-Diagonal States to Distribute Entanglement
- Entanglement control via reservoir engineering in ultracold atomic gases
- The geometric approach to quantum correlations: Computability versus reliability
- Geometric interpretation of the geometric discord
Cited by in corpus (73)
- Measures and applications of quantum correlations
- Frozen Quantum Coherence
- Quantum coherence in multipartite systems
- Quantum discord determines the interferometric power of quantum states
- Quantum discord and its allies: a review
- Hierarchy and dynamics of trace distance correlations
- Universal freezing of quantum correlations within the geometric approach
- Observation of environment-induced double sudden transitions in geometric quantum correlations
- Distributed correlations and information flows within a hybrid multipartite quantum-classical system
- Quantum correlations and distinguishability of quantum states
- Stationary three-dimensional entanglement via dissipative Rydberg pumping
- Unifying approach to the quantification of bipartite correlations by Bures distance
- Geometric measures of quantum correlations: characterization, quantification, and comparison by distances and operations
- Evolution equation for geometric quantum correlation measures
- Maximal coherence in generic basis
- Geometric quantum discord with Bures distance: the qubit case
- On the quantum discord of general X states
- Relating the Bures measure to the Cauchy two-matrix model
- To freeze or not to: Quantum correlations under local decoherence
- Geometric classical and total correlations via trace distance
- Robust asymptotic entanglement under multipartite collective dephasing
- Effects of classical fluctuating environments on decoherence and bipartite quantum correlations dynamics
- Preservation of the geometric quantum discord in noisy environments
- Hierarchical environment-assisted dynamical speedup control
- Geometric quantum discord and non-Markovianity of structured reservoirs
- Non-Markovianity and coherence of a moving qubit inside a leaky cavity
- Universal evolution of non-classical correlations due to collective spontaneous emission
- Overview on the phenomenon of two-qubit entanglement revivals in classical environments
- Collapse-revival of quantum discord and entanglement
- Entanglement and Quantum Correlation Measures from a Minimum Distance Principle
- Dynamics of spatially indistinguishable particles and entanglement protection
- Sudden change of geometric quantum discord in finite temperature reservoirs
- Frozen Gaussian quantum discord in photonic crystal cavity array system
- Building versatile bipartite probes for quantum metrology
- Effect of local filtering on Freezing Phenomena of Quantum Correlation
- There is more to quantum interferometry than entanglement
- Experimentally freezing quantum discord in a dissipative environment using dynamical decoupling
- Broadcasting of Quantum Correlations: Possibilities & Impossibilities
- Conclusive Identification of Quantum Channels via Monogamy of Quantum Correlations
- How to observe and quantify quantum-discorded states
- Scale-invariant freezing of entanglement
- How to observe and quantify quantum-discorded states via correlations
- Enhancing the geometric quantum discord in the Heisenberg {\it XX} chain by Dzyaloshinsky-Moriya interaction
- Thermal effects on the sudden changes and freezing of correlations between remote atoms in cavity QED network
- Influence of the external pressure on the quantum correlations of molecular magnets
- A cold-atoms based processor for deterministic quantum computation with one qubit in intractably large Hilbert spaces
- The relation between the quantum discord and quantum teleportation: the physical interpretation of the transition point between different quantum discord decay regimes
- Sudden transitions of trace distance discord of dipole-dipole coupled two qubits
- Enhancing robustness of multiparty quantum correlations using weak measurement
- Scalable quantum computing model in the circuit-QED lattice with circulator function
- Characterizing nonclassical correlation using affinity
- Dynamics of Entanglement and Nonclassical Correlation for Four-Qubit GHZ State
- Quantumness and speedup limit of a qubit under transition frequency modulation
- Entanglement thresholds for displaying the quantum nature of teleportation
- Investigation of the Quantum Correlations for a S=1/2 Ising- Heisenberg Model on a Symmetrical Diamond Chain
- Measurement - induced qudit geometric discord
- Generalized approach to quantify correlations in bipartite quantum systems
- Accessible bounds for general quantum resources
- Quantum Correlations in Cavity QED Networks
- Geometric discord: A resource for increments of quantum key distribution through twirling
- Characterizing entanglement using quantum discord over state extensions
- The sudden change phenomenon of quantum discord
- Correlation evolution and monogamy of two geometric quantum discords in multipartite systems
- Universal freezing of asymmetry
- Sudden Decoherence Transitions for Quantum Discord
- Memory effects in high-dimensional systems faithfully identified by Hilbert-Schmidt speed-based witness
- Geometric quantum discord of an arbitrary two-qudit state: the exact value and general upper bounds
- Computing coherence vectors and correlation matrices, with application to quantum discord quantification
- Frozen and Invariant Quantum Discord under Local Dephasing Noise
- Unified scheme for correlations using linear relative entropy
- Invariant entanglement and generation of quantum correlations under global dephasing
- Anomalous decoherence effects in driven coupled quantum spin systems
- Imperfect Entangling Power of Quantum Gates