Quantum discord and the power of one qubit

Abstract

We use quantum discord to characterize the correlations present in the quantum computational model DQC1, introduced by Knill and Laflamme [Phys. Rev. Lett. 81, 5672 (1998)]. The model involves a collection of qubits in the completely mixed state coupled to a single control qubit that has nonzero purity. The initial state, operations, and measurements in the model all point to a natural bipartite split between the control qubit and the mixed ones. Although there is no entanglement between these two parts, we show that the quantum discord across this split is nonzero for typical instances of the DQC1 ciruit. Nonzero values of discord indicate the presence of nonclassical correlations. We propose quantum discord as figure of merit for characterizing the resources present in this computational model.

4 Pages, 1 Figure

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• Channel-based framework for phase esimation of multiple eigenvalues
• Dephasing effects on quantum correlations and teleportation in presence of state dependent bath
• On the Necessity of Entanglement for the Explanation of Quantum Speedup
• Theoretical investigations of quantum correlations in NMR multiple-pulse spin-locking experiments
• The best approximation of an objective state with a given set of quantum states
• Partitions of Correlated N-Qubit Systems
• Detecting Two Qubit Both-Way Positive Discord States
• Behavior of quantum correlations under nondissipative decoherence by means of the correlation matrix
• Statistics of leading digits leads to unification of quantum correlations
• Quantifying Nonclassicality of Correlations based on the Concept of Nondisruptive Local State Identification
• Quantum Correlations in NMR systems
• Non-commutative measure of quantum correlations under local operations
• On the Physical Explanation for Quantum Computational Speedup
• Hallmarking quantum states: unified framework for coherence and correlations
• Fourier 1-norm and quantum speed-up
• Dynamics of quantum discord in the purification process
• Channel Discord and Distortion
• Resolution to the quantum-classical dilemma in thermal ghost imaging
• Multipartite distribution property of one way discord beyond measurement
• Contextuality, Witness of Quantum Weirdness
• Witness to detect quantum correlation of bipartite states in arbitrary dimension
• Generating quantum dissonance via local operations
• Mathematical framework for detection and quantification of nonclassical correlation
• Global quantum discord and von Neumann entropy in multipartite two-level atomic systems
• Sudden change of interferometric power for X shape states
• Distributing quantum correlations through local operations and classical resources
• Conditional purity and quantum correlation measures in two qubit mixed states
• Limitation for linear maps in a class for detection and quantification of bipartite nonclassical correlation
• Quantum Dynamical Resource Theory under Resource Non-increasing Framework
• Can Quantum discord increase in a quantum communication task?
• Quantum Correlations of Helicity Entangled States in Non-inertial Frames Beyond Single Mode Approximation
• Weak Measurement effects on dynamics of quantum correlations in a Two-atom System in Thermal Reservoirs
• Violation of the "information-disturbance relationship" in finite-time quantum measurements
• Bipartite entanglement in AJL's algorithm for three-strand braids
• Entanglement as the cross-symmetric part of quantum discord
• Non-classical correlation of cascaded photon pairs emitted from quantum dot
• Computable Measure of Total Quantum Correlation of Multipartite Systems
• Freezing and Thawing of Entanglement in Lossless Multiparty Systems
• Quantifying Dynamical Total Coherence in a Resource Non-increasing Framework
• Oracle problems as communication tasks and optimization of quantum algorithms
• Efficient Classical Simulation of the DQC1 Circuit with Zero Discord
• Approximation of the Nearest Classical-Classical State to a Quantum State
• Quantum correlations in composite systems under global unitary operations
• Quantum discord in the central spin model
• Distribution of quantum discord in Heisenberg Antiferromagnets
• Classical State Detection Using Quantum State Tomography
• Universal Optimal Gates Regarding Quantum Entanglement and Discord Generating
• Any Two Qubit State Has Non Zero Quantum Discord Under Global Unitary Operations
• Some aspects of the interplay between bipartite correlations and quantum channels
• Quantum discord: "discord" between the whole and its constituent
• Generation of phonon quantum states and quantum correlations among single photon emitters in hexagonal boron nitride
• Structure-Based Super-Resolution Recovery of Three-Photon Quantum States from Two-Fold Coincidences
• Realizing quantum advantage without entanglement in single-photon states
• Quantum Discord Dynamics for Two-Level Atom Initially in Thermal Equilibrium Interacting with n-Photon State
• Quantum game players can have advantage without discord
• Strategies for entanglement distribution in optical fiber networks
• Basis entropy: A useful physical quantity about projective measurement
• Total quantum coherence and its applications
• Probing the non-locality of Majorana fermions via quantum correlations
• Non-commutativity measure of quantum discord