Comparison of different measures for quantum discord under non-Markovian noise
arXiv:1010.3521 · doi:10.1088/1751-8113/44/39/395304
Abstract
Two geometric measures for quantum discord were recently proposed by Modi et al. [Phys. Rev. Lett. 104, 080501 (2010)] and Dakic et al. [Phys. Rev. Lett. 105, 190502 (2010)]. We study the similarities and differences for total quantum correlations of Bell-diagonal states using these two geometry-based quantum discord and the original quantum discord. We show that, under non-Markovian dephasing channels, quantum discord and one of the geometric measures stay constant for a finite amount of time, but not the other geometric measure. However, all the three measures share a common sudden change point. Our study on critical point of sudden transition might be useful for keeping long time total quantum correlations under decoherence.
10 pages, 3 figures submitted for publication
References in corpus (14)
- Quantum discord and the power of one qubit
- Necessary and sufficient condition for non-zero quantum discord
- 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
- Quantum correlations in spin chains at finite temperatures and quantum phase transitions
- No-local-broadcasting theorem for quantum correlations
- Quantum discord and quantum phase transition in spin chains
- Vanishing quantum discord is necessary and sufficient for completely positive maps
- Quantum Discord and the Geometry of Bell-Diagonal States
- Kraus representation of quantum evolution and fidelity as manifestations of Markovian and non-Markovian avataras
- Quantum discord and local demons
- Dissipative dynamics of quantum discord under quantum chaotic environment
Cited by in corpus (15)
- The classical-quantum boundary for correlations: discord and related measures
- Quantum discord and its allies: a review
- Comparative investigation of the freezing phenomena for quantum correlations under nondissipative decoherence
- Dynamics of geometric and entropic quantifiers of correlations in open quantum systems
- Necessary and sufficient conditions of freezing phenomena of quantum discord under phase damping
- To freeze or not to: Quantum correlations under local decoherence
- Decoherence dynamics of geometric measure of quantum discord and measurement-induced nonlocality for noninertial observers at finite temperature
- Constructive Feedback of Non-Markovianity on Resources in Random Quantum States
- Dynamics of multipartite quantum correlations under decoherence
- Bell violation versus geometric measure of quantum discord and their dynamical behavior
- Classical memoryless noise-induced maximally discordant mixed separable steady states
- Conditions for the freezing phenomena of geometric measure of quantum discord for arbitrary two-qubit X states under non-dissipative dephasing noises
- Theoretical insights on measuring quantum correlations
- The sudden change phenomenon of quantum discord
- Pairwise quantum discord for a symmetric multi-qubit system in different types of noisy channels