Total quantum coherence and its applications

@article{Yu2016TotalQC,
  title={Total quantum coherence and its applications},
  author={Chang-shui Yu and Si-ren Yang and Bao-qing Guo},
  journal={Quantum Information Processing},
  year={2016},
  volume={15},
  pages={3773-3784}
}
Quantum coherence is the most fundamental feature of quantum mechanics. The usual understanding of it depends on the choice of the basis, that is, the coherence of the same quantum state is different within different reference framework. To reveal all the potential coherence, we present the total quantum coherence measures in terms of two different methods. One is optimizing maximal basis-dependent coherence with all potential bases considered and the other is quantifying the distance between… Expand
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References

SHOWING 1-10 OF 35 REFERENCES
The classical-quantum boundary for correlations: Discord and related measures
One of the best signatures of nonclassicality in a quantum system is the existence of correlations that have no classical counterpart. Different methods for quantifying the quantum and classicalExpand
Observable measure of quantum coherence in finite dimensional systems.
  • D. Girolami
  • Physics, Medicine
  • Physical review letters
  • 2014
TLDR
An experimental scheme is presented implementable with current technology which evaluates the quantum coherence of an unknown state of a d-dimensional system by performing two programmable measurements on an ancillary qubit, in place of the O(d2) direct measurements required by full state reconstruction. Expand
Quantum correlation via quantum coherence
TLDR
This paper proposes a revised measure for total coherence and finds that this measure can lead to a symmetric version of geometric quantum correlation, which is analytic for two qubits, and can arrive at a monogamy equality on the distribution of quantum coherence. Expand
Bipartite concurrence and localized coherence
Based on a proposed coherence measure, we show that the local coherence of a bipartite quantum pure state (coherence of its reduced density matrix) is exactly the same as the minimal average co-Expand
Characterizing nonclassical correlations via local quantum uncertainty.
TLDR
It is shown that the amount of discord present in a bipartite mixed probe state guarantees a minimum precision, as quantified by the quantum Fisher information, in the optimal phase estimation protocol. Expand
Quantum discord: a measure of the quantumness of correlations.
TLDR
This work shows that absence of entanglement does not imply classicality, and considers the vanishing of discord as a criterion for the preferred effectively classical states of a system, i.e., the pointer states. Expand
Quantum discord and the power of one qubit.
We use quantum discord to characterize the correlations present in the model called deterministic quantum computation with one quantum bit (DQC1), introduced by Knill and Laflamme [Phys. Rev. Lett.Expand
Power of One Bit of Quantum Information
In standard quantum computation, the initial state is pure and the answer is determined by making a measurement of some of the bits in the computational basis. What can be accomplished if the initialExpand
Entangling power in deterministic quantum computation with one qubit
Deterministic quantum computing with one qubit (DQC1) is a mixed-state quantum computation algorithm that evaluates the normalized trace of a unitary matrix and is more powerful than the classicalExpand
Classical correlations and entanglement in quantum measurements.
  • V. Vedral
  • Physics, Medicine
  • Physical review letters
  • 2003
TLDR
This work analyzes a quantum measurement where the apparatus is initially in a mixed state and derives an uncertainty-like expression relating the information gain in the measurement and the initial mixedness of the apparatus. Expand
...
1
2
3
4
...