The sudden change phenomenon of quantum discord
arXiv:1610.02882 · doi:10.1007/978-3-319-53412-1_15
Abstract
Even if the parameters determining a system's state are varied smoothly, the behavior of quantum correlations alike to quantum discord, and of its classical counterparts, can be very peculiar, with the appearance of non-analyticities in its rate of change. Here we review this sudden change phenomenon (SCP) discussing some important points related to it: Its uncovering, interpretations, and experimental verifications, its use in the context of the emergence of the pointer basis in a quantum measurement process, its appearance and universality under Markovian and non-Markovian dynamics, its theoretical and experimental investigation in some other physical scenarios, and the related phenomenon of double sudden change of trace distance discord. Several open questions are identified, and we envisage that in answering them we will gain significant further insight about the relation between the SCP and the symmetry-geometric aspects of the quantum state space.
arXiv commentLectures on General Quantum Correlations and their Applications, F. F. Fanchini, D. O. Soares Pinto, and G. Adesso (Eds.), Springer (2017), pp 309-337
References in corpus (102)
- Introducing Quantum Discord
- Bell nonlocality
- Classical, quantum and total correlations
- The classical-quantum boundary for correlations: discord and related measures
- Non-Markovian dynamics in open quantum systems
- Quantum discord and the power of one qubit
- Necessary and sufficient condition for non-zero quantum discord
- The Role of Relative Entropy in Quantum Information Theory
- Unified View of Quantum and Classical Correlations
- On the quantum, classical and total amount of correlations in a quantum state
- Quantum Darwinism
- Classical Correlation and Quantum Discord in Critical Systems
- A Thermodynamical Approach to Quantifying Quantum Correlations
- Sudden transition between classical and quantum decoherence
- Characterizing Nonclassical Correlations via Local Quantum Uncertainty
- Classical and quantum correlations under decoherence
- Quantum discord as resource for remote state preparation
- Non-Markovian Dynamics of Quantum Discord
- Quantum correlations in spin chains at finite temperatures and quantum phase transitions
- Experimental investigation of classical and quantum correlations under decoherence
- No-local-broadcasting theorem for quantum correlations
- Interpreting quantum discord through quantum state merging
- Operational interpretations of quantum discord
- Extending Noether's theorem by quantifying the asymmetry of quantum states
- Global Quantum Discord in Multipartite Systems
- Vanishing quantum discord is necessary and sufficient for completely positive maps
- Non-Markovian effect on the quantum discord
- Quantum discord determines the interferometric power of quantum states
- Geometric quantum discord through the Schatten 1-norm
- System-reservoir dynamics of quantum and classical correlations
- Quantum coherence and uncertainty in the anisotropic XY chain
- Quantum Discord and the Geometry of Bell-Diagonal States
- Quantum discord and geometry for a class of two-qubit states
- Quantum discord as a resource for quantum cryptography
- Toward computability of trace distance discord
- Comparative investigation of the freezing phenomena for quantum correlations under nondissipative decoherence
- Environment-induced sudden transition in quantum discord dynamics
- Quantum Discord of Cosmic Inflation: Can we Show that CMB Anisotropies are of Quantum-Mechanical Origin?
- Negativity of quantumness and its interpretations
- One-norm geometric quantum discord under decoherence
- Geometric quantum discord with Bures distance
- Quantum discord and local demons
- Hierarchy and dynamics of trace distance correlations
- Universal freezing of quantum correlations within the geometric approach
- Frozen discord in non-Markovian dephasing channels
- Robustness of quantum correlations against decoherence
- How Discord underlies the Noise Resilience of Quantum Illumination
- Observation of environment-induced double sudden transitions in geometric quantum correlations
- Correlation Dynamics of Qubit-Qutrit Systems in a Classical Dephasing Environment
- Sudden change in quantum and classical correlations and the Unruh effect
- Experimental investigation of the non-Markovian dynamics of classical and quantum correlations
- Super Quantum Discord with Weak Measurements
- Heisenberg scaling in Gaussian quantum metrology
- Criticality, factorization and long-range correlations in the anisotropic XY-model
- A measure of physical reality
- Criteria for measures of quantum correlations
- Amplification of quantum discord between two uncoupled qubits in a common environment by phase decoherence
- Entropic measures of nonclassical correlations
- Geometric picture of quantum discord for two-qubit quantum states
- Emergence of the pointer basis through the dynamics of correlations
- Necessary and sufficient conditions of freezing phenomena of quantum discord under phase damping
- To freeze or not to: Quantum correlations under local decoherence
- Quantum discord in the ground state of spin chains
- Discriminating Strength: a bona fide measure of non-classical correlations
- Rényi squashed entanglement, discord, and relative entropy differences
- Preservation of the geometric quantum discord in noisy environments
- Trace-distance correlations for X states and emergence of the pointer basis in Markovian and non-Markovian regimes
- Geometric interpretation of the geometric discord
- Quantumness of correlations, quantumness of ensembles and quantum data hiding
- How the Unruh effect affects transition between classical and quantum decoherences
- Quantum Discord in the Ground and Thermal States of Spin Clusters
- Equivalence between Redfield and master equation approaches for a time-dependent quantum system and coherence control
- Decoherence dynamics of geometric measure of quantum discord and measurement-induced nonlocality for noninertial observers at finite temperature
- Quantum discord is Bohr's notion of non-mechanical disturbance introduced in his answer to EPR
- On the quantumness of correlations in nuclear magnetic resonance
- Quantum discord in nuclear magnetic resonance systems at room temperature
- Ultra long spin decoherence times in graphene quantum dots with a small number of nuclear spins
- Discord of response
- Overcoming ambiguities in classical and quantum correlation measures
- Comparison of different measures for quantum discord under non-Markovian noise
- Computing partial traces and reduced density matrices
- One-way Quantum Deficit and Decoherence for Two-qubit States
- Monogamy and backflow of mutual information in non-Markovian thermal baths
- Time-Invariant Discord in Dynamically Decoupled Systems
- Sudden Change of Quantum Discord under Single Qubit Noise
- Symmetry aspects of quantum discord
- Thermal effects on the sudden changes and freezing of correlations between remote atoms in cavity QED network
- The relation between the quantum discord and quantum teleportation: the physical interpretation of the transition point between different quantum discord decay regimes
- Protecting quantum correlations of two qubits in independent non-Markovian environments by bang-bang pulses
- Computable measure of the quantum correlation
- The decay of quantum correlations between quantum dot spin qubits and the characteristics of its magnetic field dependence
- No energy transport without discord
- Shielding quantum discord through continuous dynamical decoupling
- Dissipative dynamics of quantum discord under quantum chaotic environment
- Correlation dynamics of a two-qubit system in a Bell-diagonal state under non-identical local noises
- Emergence of metastable pointer states basis in non-Markovian quantum dynamics
- Non-Markovian Dynamics of Quantum and Classical Correlations in the Presence of System-Bath Coherence
- Symmetry restoration and quantumness reestablishment
- Distribution of Mutual Information in Multipartite States
- Non-monotonicity of trace distance under tensor products
- Role of complementary correlations in the evolution of classical and quantum correlations under Markovian decoherence
- Controlling transfer of quantum correlations among bi-partitions of a composite quantum system by combining noisy environments
Cited by in corpus (5)
- Monogamy of quantum correlations - a review
- Preparing tunable Bell-diagonal states on a quantum computer
- Dissipative dynamics of quantum correlation quantifiers under decoherence channels
- Landau-type sudden transitions of quantum correlations
- Extremal properties of conditional entropy and quantum discord for XXZ symmetric quantum states