Quantum discord as a resource in quantum communication

Abstract

As quantum technologies move from the issues of principle to those of practice, it is important to understand the limitations on attaining tangible quantum advantages. In the realm of quantum communication, quantum discord captures the damaging effects of a decoherent environment. This is a consequence of quantum discord quantifying the advantage of quantum coherence in quantum communication. This establishes quantum discord as a resource for quantum communication processes. We discuss this progress, which derives a quantitative relation between the yield of the fully quantum Slepian-Wolf protocol in the presence of noise and the quantum discord of the state involved. The significance of quantum discord in noisy versions of teleportation, super-dense coding, entanglement distillation and quantum state merging are discussed. These results lead to open questions regarding the tradeoff between quantum entanglement and discord in choosing the optimal quantum states for attaining palpable quantum advantages in noisy quantum protocols.

9 pages, no figures. Published version

References in corpus (28)

• Quantum entanglement
• Quantum Cryptography
• Introducing Quantum Discord
• Classical, quantum and total correlations
• Quantum discord and the power of one qubit
• Necessary and sufficient condition for non-zero quantum discord
• On the Power of One Bit of Quantum Information
• Unified View of Quantum and Classical Correlations
• Quantum data processing and error correction
• Monogamy of entanglement and other correlations
• Quantum information can be negative
• Quantum versus classical correlations in Gaussian states
• Entanglement and the Power of One Qubit
• Interpreting quantum discord through quantum state merging
• Operational interpretations of quantum discord
• Quantum state merging and negative information
• On the role of entanglement and correlations in mixed-state quantum computation
• The mother of all protocols: Restructuring quantum information's family tree
• Einselection and Decoherence from an Information Theory Perspective
• Signatures of non-classicality in mixed-state quantum computation
• A family of quantum protocols
• Distilling common randomness from bipartite quantum states
• Theoretical and experimental aspects of quantum discord and related measures
• Interplay between computable measures of entanglement and other quantum correlations
• Assisted state discrimination without entanglement
• Locally Inaccessible Information as a Fundamental Ingredient to Quantum Information
• Quantum locking of classical correlations and quantum discord of classical-quantum states
• Quantum Discord and Quantum Computing - An Appraisal

Cited by in corpus (43)

• Measures and applications of quantum correlations
• Computing quantum discord is NP-complete
• Resource Destroying Maps
• Exploring multipartite quantum correlations with the square of quantum discord
• A multipartite generalization of quantum discord
• Monogamy of Quantum Discord by Multipartite Correlations
• Hierarchical monogamy relations for the squared entanglement of formation in multipartite systems
• Quantum Correlations and Global Coherence in Distributed Quantum Computing
• Quantifying the Nonclassicality of Operations
• Nonviolation of Bell's Inequality in Translation Invariant Systems
• Thermal amplification of field-correlation harvesting
• Non-Gaussian quantum discord for Gaussian states
• Discording power of quantum evolutions
• Steady-state entanglement activation in optomechanical cavities
• Information-based approach towards a unified resource theory
• Mixed state Pauli channel parameter estimation
• Quantum Energy Teleportation between Spin Particles in a Gibbs State
• On the pseudospectrum of the harmonic oscillator with imaginary cubic potential
• Classical extension of quantum-correlated separable states
• Plasmon-assisted quantum control of distant emitters
• Maxwell's demons in multipartite quantum correlated systems
• Reducing Computational Complexity of Quantum Correlations
• Quantum discord dynamics of two qubits in the single-mode cavities
• Dissipative dynamics of quantum correlation quantifiers under decoherence channels
• Unification of quantum resources in distributed scenarios
• Asymptotically Consistent Measures of General Quantum Resources: Discord, Non-Markovianity, and Non-Gaussianity
• Quantum state space-dimension as a quantum resource
• The Dual Roles of Quantum Discord in a Non-demolition Probing Task
• Classical and Quantum Orbital Correlations in the Molecular Electronic States
• Approximate broadcasting of quantum correlations
• Non-Gaussian features from Excited Squeezed Vacuum State
• Distribution of Mutual Information in Multipartite States
• Additivity relations in quantum correlations
• Purified discord and multipartite entanglement
• Correlation evolution and monogamy of two geometric quantum discords in multipartite systems
• Quantum communication with $SU(2)$ invariant separable $2\times N$ level systems
• Partitions of Correlated N-Qubit Systems
• Dephasing effects on quantum correlations and teleportation in presence of state dependent bath
• Revealing correlations between a system and an inaccessible environment
• Influence of environment on quantum correlations in two-spin systems with dipole-dipole interactions
• Oracle problems as communication tasks and optimization of quantum algorithms
• Local-available quantum correlation swapping in one-parameter X states
• Correlations in a quantum switch-based heat engine with measurements: A proof-of-principle demonstration