Necessary and sufficient condition for non-zero quantum discord

Abstract

Quantum discord characterizes "non-classicality" of correlations in quantum mechanics. It has been proposed as the key resource present in certain quantum communication tasks and quantum computational models without containing much entanglement. We obtain a necessary and sufficient condition for the existence of non-zero quantum discord for any dimensional bipartite states. This condition is easily experimentally implementable. Based on this, we propose a geometrical way of quantifying quantum discord. For two qubits this results in a closed form of expression for discord. We apply our results to the model of deterministic quantum computation with one qubit, showing that quantum discord is unlikely to be the reason behind its speedup.

minor changes, published version

References in corpus (23)

• Introducing Quantum Discord
• Classical, quantum and total correlations
• Quantum discord and the power of one qubit
• On the Power of One Bit of Quantum Information
• Experimental quantum computing without entanglement
• Quantum discord for two-qubit X-states
• Unified View of Quantum and Classical Correlations
• On the quantum, classical and total amount of correlations in a quantum state
• Information-theoretic aspects of quantum inseparability of mixed states
• Separability of very noisy mixed states and implications for NMR quantum computing
• Classical Correlation and Quantum Discord in Critical Systems
• A Thermodynamical Approach to Quantifying Quantum Correlations
• Almost all quantum states have non-classical correlations
• Quantum versus classical correlations in Gaussian states
• Gaussian quantum discord
• No-local-broadcasting theorem for quantum correlations
• Quantum discord and quantum phase transition in spin chains
• Entanglement and the Power of One Qubit
• Vanishing quantum discord is necessary and sufficient for completely positive maps
• On the role of entanglement and correlations in mixed-state quantum computation
• Sophisticated quantum search without entanglement
• Completely Positive Maps and Classical Correlations
• Quantum discord and local demons

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• Two-particle Hadamard walk on dynamically percolated line and circle
• Entanglement as the cross-symmetric part of quantum discord
• Geometric measure for two-qubit CS-states: an exactly solvable model
• Quantum Discord Dynamics for Two-Level Atom Initially in Thermal Equilibrium Interacting with n-Photon State
• Classical State Detection Using Quantum State Tomography
• On the upper bound of classical correlations in a bipartite quantum system
• Correlations in geometric states
• Preparation of quantum correlations assisted by a steering Maxwell demon
• Efficient Classical Simulation of the DQC1 Circuit with Zero Discord
• Quantum discord in the central spin model
• Computable Measure of Total Quantum Correlation of Multipartite Systems
• Some aspects of the interplay between bipartite correlations and quantum channels
• Non-commutativity measure of quantum discord