arXiv subjects

C. L. Liu

Publications and source records attributed to C. L. Liu.

23 records · Page 2Linked to original sources

arXiv2016

Ordering states with coherence measures

The quantification of quantum coherence has attracted a growing attention, and based on various physical contexts, several coherence measures have been put forward. An interesting question is whether these coherence measures give the same ordering when they are used to quantify the coherence of quantum states. In this paper, we consider the two well-known coherence measures, the $l_1$ norm of coherence and the relative entropy of coherence, to show that there are the states for which the two measures give a different ordering. Our analysis can be extended to other coherence measures, and as an illustration of the extension we further consider the formation of coherence to show that the $l_1$ norm of coherence and the formation of coherence, as well as the relative entropy of coherence and the coherence of formation, do not give the same ordering too.

quant-ph↗

arXiv2016

Measure-Independent Freezing of Quantum Coherence

We find that all measures of coherence are frozen for an initial state in a strictly incoherent channel if and only if the relative entropy of coherence is frozen for the state. Our finding reveals the existence of measure-independent freezing of coherence, and provides an entropy-based dynamical condition in which the coherence of an open quantum system is totally unaffected by noise.

quant-ph↗

arXiv2015

Non-adiabatic Holonomic Gates realized by a single-shot implementation

Non-adiabatic holonomic quantum computation has received increasing attention due to its robustness against control errors. However, all the previous schemes have to use at least two sequentially implemented gates to realize a general one-qubit gate. In this paper, we put forward a novelty scheme by which one can directly realize an arbitrary holonomic one-qubit gate with a single-shot implementation, avoiding the extra work of combining two gates into one. Based on a three-level model driven by laser pulses, we show that any single-qubit holonomic gate can be realized by varying the detuning, amplitude, and phase of lasers. Our scheme is compatible with previously proposed non-adiabatic holonomic two-qubit gates, combining with which the arbitrary holonomic one-qubit gates can play universal non-adiabatic holonomic quantum computation. We also investigate the effects of some unavoidable realistic errors on our scheme.

quant-ph↗

arXiv2012

Electronic and optical properties of Ti_{1-x}Cd_xO2: A first-principles prediction

A first-principles study has been carried out to evaluate the electronic and optical properties of rutile Ti1-xCdxO2 as a possible photocatalytic material. It was found that Cd incorporation lead to the enhancement of p states in the top of valence band and the decrease of band gap. The optical transition between Cd p and O p enhances gradually and shifts to high energy range with increasing Cd concentration. Furthermore, optical absorption of Ti1-xCdxO2 increases in the visible range.

cond-mat.mtrl-sci↗

arXiv2012

First-principles study of electronic and optical properties in wurtzite Zn_{1-x}Cd_xO

A first-principles study has been performed to evaluate the electronic and optical properties of wurtzite Zn1-xCdxO up to x=0.25. We have employed the Perdew-Burke-Ernzerhof (PBE) form of generalized gradient approximation within the framework of density functional theory (DFT). Calculations have been carried out in different configurations. With the increasing Cd concentrations, the band gap of Zn1-xCdxO is decreased due to the increase of s states in conduction band. The results of imaginary part of dielectric function indicate that the optical transition between O 2p states in the highest valence band and Zn 4s states in the lowest conduction band has shifted to low energy range as the Cd concentrations increase. Besides, the optical band gap decreases from 3.2 to 2.84 eV with increasing Cd concentrations from 0 to 0.25. Meanwhile, the bowing parameter b, which has been obtained by fitting the results of optical band gap, is about 1.21 eV. The optical constants of pure ZnO and Zn0.75Cd0.25O, such as optical conductivity, loss function, refractive index and reflectivity, have been discussed.

cond-mat.mtrl-sci↗