Quantum-correlating power of local quantum channels
arXiv:1203.6149 · doi:10.1103/PhysRevA.87.032340
Abstract
Quantum correlation can be created by local operations from a classically correlated state. We define quantum-correlating power (QCP) of a local quantum channel as the maximum amount of quantum correlation that can be created by the channel. The quantum correlation that we discuss in this article is defined on the left part of the bipartite state. We prove that for any local channel, the optimal input state, which corresponds to the maximum quantum correlation in the output state, must be a classical-classical state. Further, the single-qubit channels with maximum QCP can be found in the class of rank-1 channels which take their optimal input states to rank-2 quantum-classical states. The analytic expression for QCP of single-qubit amplitude damping channel is obtained. Super-activation property of QCP, i.e., two zero-QCP channels can consist a positive-QCP channel, is discussed for single-qubit phase damping channels.
5pages, 2 figures. Comments are welcome
References in corpus (24)
- Introducing Quantum Discord
- Quantum discord and the power of one qubit
- Necessary and sufficient condition for non-zero quantum discord
- Monogamy of entanglement and other correlations
- Sudden transition between classical and quantum decoherence
- Quantum discord as resource for remote state preparation
- Local versus non-local information in quantum information theory: formalism and phenomena
- Experimental investigation of classical and quantum correlations under decoherence
- On the Entangling Power of Quantum Evolutions
- Quantum Discord and Maxwell's Demons
- Linking Quantum Discord to Entanglement in a Measurement
- All non-classical correlations can be activated into distillable entanglement
- Operational Significance of Discord Consumption: Theory and Experiment
- Behavior of Quantum Correlations under Local Noise
- Quantum discord bounds the amount of distributed entanglement
- Quantum cost for sending entanglement
- Entanglement irreversibility from quantum discord and quantum deficit
- Creating quantum correlations through local non-unitary memoryless channels
- Necessary and sufficient conditions for local creation of quantum correlation
- Propagation of non-classical correlations across a quantum spin chain
- Correlations in quantum states and the local creation of quantum discord
- Locally Inaccessible Information as a Fundamental Ingredient to Quantum Information
- Local-channel-induced rise of quantum correlations in continuous-variable systems
- Discord and non-classicality in probabilistic theories
Cited by in corpus (35)
- Measures and applications of quantum correlations
- Geometric quantum discord through the Schatten 1-norm
- Quantum discord and its allies: a review
- Comparative investigation of the freezing phenomena for quantum correlations under nondissipative decoherence
- Measurement-induced nonlocality based on the trace norm
- Spontaneous synchronization and quantum correlation dynamics of open spin systems
- Uncertainty-induced quantum nonlocality
- Observation of environment-induced double sudden transitions in geometric quantum correlations
- Quantum coherence of steered states
- Geometric classical and total correlations via trace distance
- The geometric approach to quantum correlations: Computability versus reliability
- Discriminating Strength: a bona fide measure of non-classical correlations
- Preservation of the geometric quantum discord in noisy environments
- Effect of Local Channels on Quantum Steering Ellipsoids
- Sudden change of geometric quantum discord in finite temperature reservoirs
- Quantum correlation measure in arbitrary bipartite systems
- Overcoming ambiguities in classical and quantum correlation measures
- Dynamics of multipartite quantum correlations under decoherence
- The power of quantum channels for creating quantum correlations
- Quantumness of quantum channels
- Broadcasting of Quantum Correlations: Possibilities & Impossibilities
- Dynamics of Atom-Atom Correlations in the Fermi problem
- Enhancing the geometric quantum discord in the Heisenberg {\it XX} chain by Dzyaloshinsky-Moriya interaction
- Sudden transitions of trace distance discord of dipole-dipole coupled two qubits
- The relation between the quantum discord and quantum teleportation: the physical interpretation of the transition point between different quantum discord decay regimes
- Quantum discord and information deficit in spin chains
- Role of weak measurements on states ordering and monogamy of quantum correlation
- Investigation of the Quantum Correlations for a S=1/2 Ising- Heisenberg Model on a Symmetrical Diamond Chain
- Correlation evolution and monogamy of two geometric quantum discords in multipartite systems
- Super-additivity of quantum-correlating power
- Thermal quantum discord in the Heisenberg chain with impurity
- Non-classicalities via perturbing local unitary operations
- Quantum correlation cost of the weak measurement
- Multipartite Generalization of Geometric measure of Discord
- Information Theoretic Resources in Quantum Theory