Quantum discord for a two-parameter class of states in $2\otimes d$ quantum systems

Abstract

Quantum discord witnesses the nonclassicality of quantum states even when there is no entanglement in these quantum states. This type of quantum correlation also has some interesting and significant applications in quantum information processing. Quantum discord has been evaluated explicitly only for certain class of two-qubit states. We extend the previous studies to $2\otimes d$ quantum systems and derive an analytical expression for quantum discord for a two-parameter class of states for $d\ge 3$. We compare quantum discord, classical correlation, and entanglement for qubit-qutrit systems to demonstrate that different measures of quantum correlation are not identical and conceptually different.

13 pages, 3 figures

References in corpus (12)

• Quantum discord and the power of one qubit
• Experimental quantum computing without entanglement
• On the quantum, classical and total amount of correlations in a quantum state
• Robustness of quantum discord to sudden death
• Classical and quantum correlations under decoherence
• No-local-broadcasting theorem for quantum correlations
• Quantum discord and quantum phase transition in spin chains
• Multipartite Nonlocality without Entanglement in Many Dimensions
• On the role of entanglement and correlations in mixed-state quantum computation
• Quantum mutual information and the one-time pad
• Quantum Correlation Without Classical Correlations
• Broadcast copies reveal the quantumness of correlations

Cited by in corpus (19)

• The classical-quantum boundary for correlations: discord and related measures
• Calculation of quantum discord for qubit-qudit or N qubits
• Correlation Dynamics of Qubit-Qutrit Systems in a Classical Dephasing Environment
• Measuring geometric quantum discord using one bit of quantum information
• Quantum discord in spin-cluster materials
• Geometric measure of quantum discord for a two-parameter class of states in a qubit-qutrit system under various dissipative channels
• Quantum Discord for multiqubit Systems
• Decoherence dynamics of geometric measure of quantum discord and measurement-induced nonlocality for noninertial observers at finite temperature
• Local quantum uncertainty for multipartite quantum systems
• Dynamics of multipartite quantum correlations under decoherence
• Reducing Computational Complexity of Quantum Correlations
• Qubit-Qutrit ($2\otimes 3$) quantum systems: An investigation of some quantum correlations under collective dephasing
• Stable and metastable freezing of classical correlations in qutrits
• Quantum correlations in qutrit-qutrit systems under local quantum noise channels
• Quantum Discord for Generalized Bloch Sphere States
• Investigation of the Quantum Correlations for a S=1/2 Ising- Heisenberg Model on a Symmetrical Diamond Chain
• Analytic Formulas for Quantum Discord of Special Families of N-Qubit States
• Dynamics of local quantum uncertainty among cavity-reservoir qubits
• One-way quantum deficit for $2\otimes d$ systems