# 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

#### Figures and Topics from this paper

#### 22 Citations

Operational resource theory of total quantum coherence

- Physics
- 2018

Abstract Quantum coherence is an essential feature of quantum mechanics and is an important physical resource in quantum information. Recently, the resource theory of quantum coherence has been… Expand

The classical correlation limits the ability of the measurement-induced average coherence

- Physics, Medicine
- Scientific reports
- 2017

It is shown that the average coherence is not less than the coherence of its reduced density matrix and the classical correlation of the bipartite state instead of the quantum correlation is neither sufficient nor necessary for the nonzero extra average coherent within a given measurement. Expand

Quantifying quantum coherence and nonclassical correlation based on Hellinger distance

- Physics
- 2018

Quantum coherence and non-classical correlation are key features of quantum world. Quantifying coherence and non-classical correlation are two key tasks in quantum information theory. First, we… Expand

Average versus maximal coherence

- Physics
- Physics Letters A
- 2019

Abstract Coherence is a fundamental feature of quantum mechanics and plays a crucial role in the quantum realm. The issue of quantification of coherence has received considerable interests in recent… Expand

Basis-independent quantum coherence and its distribution

- Physics, Mathematics
- Annals of Physics
- 2019

We analyze a basis-independent definition of quantum coherence. The maximally mixed state is used as the reference state, which allows for a way of defining coherence that is invariant under… Expand

Quantum coherence and geometric quantum discord.

- Computer Science, Physics
- 2017

This aim is to provide a full review about the resource theory of quantum coherence, including its application in many-body systems, and the discordlike quantum correlations which were defined based on the various distance measures of states. Expand

Quantum coherence--incoherent uncertainty tradeoff relations

- Mathematics
- 2018

We derive upper bounds for Hilbert-Schmidt's quantum coherence of general states of a $d$-level quantum system, a qudit, in terms of its incoherent uncertainty, with the latter quantified using the… Expand

Quantum correlations and quantum coherence in open quantum systems

- Physics
- 2018

In this thesis, methods for the study of open quantum systems are developed and different aspects of Markovian and non-Markovian dynamics are analyzed. The first part of the thesis is devoted to the… Expand

Connection of coherence measure and unitary evolutions

- Computer Science, Physics
- Quantum Inf. Process.
- 2019

AbstractWe show that, given a single-qubit state, the maximal possible value of disturbance induced by unitary evolution with respect to time coincides with the $$bona\, fide$$bonafide coherence… Expand

Thermal Nonlocal Advantage of Quantum Coherence in the Two-Site, Triangular, and Tetrahedral Lattices with Heisenberg Interactions

- Physics
- 2021

Quantum correlations are physical resources for quantum information processing. The nonlocal advantage of quantum coherence (NAQC) is a kind of quantum correlation which is stronger than… Expand

#### References

SHOWING 1-10 OF 35 REFERENCES

The classical-quantum boundary for correlations: Discord and related measures

- Physics, Mathematics
- 2012

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 classical… Expand

Observable measure of quantum coherence in finite dimensional systems.

- Physics, Medicine
- Physical review letters
- 2014

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

- Physics, Computer Science
- Quantum Inf. Process.
- 2014

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

- Physics
- 2009

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.

- Mathematics, Physics
- Physical review letters
- 2013

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.

- Mathematics, Medicine
- Physical review letters
- 2002

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.

- Physics, Medicine
- Physical review letters
- 2008

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

- Physics
- 1998

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 initial… Expand

Entangling power in deterministic quantum computation with one qubit

- Physics
- 2013

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 classical… Expand

Classical correlations and entanglement in quantum measurements.

- Physics, Medicine
- Physical review letters
- 2003

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