scholarly journals An Invitation to Quantum Channels

Quanta ◽  
2018 ◽  
Vol 7 (1) ◽  
pp. 54 ◽  
Author(s):  
Vinayak Jagadish ◽  
Francesco Petruccione
Keyword(s):  
Time Evolution ◽  
Open Quantum Systems ◽  
Quantum Systems ◽  
Active Area ◽  
Quantum Channels ◽  
Open Quantum ◽  
Potential Applications

Open quantum systems have become an active area of research, owing to its potential applications in many different fields ranging from computation to biology. Here, we review the formalism of dynamical maps used to represent the time evolution of open quantum systems and discuss the various representations and properties of the same, with many examples.Quanta 2018; 7: 54–67.

scholarly journals Complex Time Evolution of Open Quantum Systems

2011 ◽  
Vol 18 (03) ◽  
pp. 261-288
Author(s):  
C. N. Gagatsos ◽  
A. I. Karanikas ◽  
G. I. Kordas
Keyword(s):  
Time Evolution ◽  
Open Quantum Systems ◽  
Quantum Systems ◽  
Compact Representation ◽  
Complex Time ◽  
Open Quantum ◽  
Time Formalism ◽  
Technical Details ◽  
Set Up ◽  
Reduced Density

We combine, in a single set-up, complex time parametrization in path integration, and closed time formalism of non-equilibrium field theories to produce a compact representation of time evolution of the reduced density matrix. In this framework we introduce a cluster-type expansion that facilitates perturbative and non-petrurbative calculations in the realm of open quantum systems. The technical details of some very simple examples are discussed.

scholarly journals Shortcuts to adiabaticity for open systems in circuit quantum electrodynamics

2022 ◽  
Vol 13 (1) ◽  
Author(s):  
Zelong Yin ◽  
Chunzhen Li ◽  
Jonathan Allcock ◽  
Yicong Zheng ◽  
Xiu Gu ◽  
...  
Keyword(s):  
Quantum Electrodynamics ◽  
Quantum Control ◽  
Open Systems ◽  
Open Quantum Systems ◽  
Quantum Systems ◽  
Circuit Quantum Electrodynamics ◽  
Open Quantum ◽  
Shortcuts To Adiabaticity ◽  
Potential Applications ◽  
Closed Systems

AbstractShortcuts to adiabaticity are powerful quantum control methods, allowing quick evolution into target states of otherwise slow adiabatic dynamics. Such methods have widespread applications in quantum technologies, and various shortcuts to adiabaticity protocols have been demonstrated in closed systems. However, realizing shortcuts to adiabaticity for open quantum systems has presented a challenge due to the complex controls in existing proposals. Here, we present the experimental demonstration of shortcuts to adiabaticity for open quantum systems, using a superconducting circuit quantum electrodynamics system. By applying a counterdiabatic driving pulse, we reduce the adiabatic evolution time of a single lossy mode from 800 ns to 100 ns. In addition, we propose and implement an optimal control protocol to achieve fast and qubit-unconditional equilibrium of multiple lossy modes. Our results pave the way for precise time-domain control of open quantum systems and have potential applications in designing fast open-system protocols of physical and interdisciplinary interest, such as accelerating bioengineering and chemical reaction dynamics.

scholarly journals On non-Markovian Time Evolution in Open Quantum Systems

2007 ◽  
Vol 14 (03) ◽  
pp. 265-274 ◽  
Author(s):  
Andrzej Kossakowski ◽  
Rolando Rebolledo
Keyword(s):  
Time Evolution ◽  
Open System ◽  
Open Quantum Systems ◽  
Vacuum State ◽  
Quantum Systems ◽  
Initial State ◽  
Completely Positive ◽  
Open Quantum

Non-Markovian reduced dynamics of an open system is investigated. In the case when the initial state of the reservoir is the vacuum state, an approximation is introduced which makes it possible to construct a reduced dynamics which is completely positive.

scholarly journals Efficient method to generate time evolution of the Wigner function for open quantum systems

2015 ◽  
Vol 92 (4) ◽  
Author(s):  
Renan Cabrera ◽  
Denys I. Bondar ◽  
Kurt Jacobs ◽  
Herschel A. Rabitz
Keyword(s):  
Time Evolution ◽  
Wigner Function ◽  
Efficient Method ◽  
Open Quantum Systems ◽  
Quantum Systems ◽  
Open Quantum

scholarly journals Relations between entanglement and purity in non-Markovian dynamics

2016 ◽  
Vol 14 (07) ◽  
pp. 1650031 ◽  
Author(s):  
Carlos A. González-Gutiérrez ◽  
Ricardo Román-Ancheyta ◽  
Diego Espitia ◽  
Rosario Lo Franco
Keyword(s):  
Quantum Teleportation ◽  
Open Quantum Systems ◽  
Quantum Systems ◽  
Entangled State ◽  
Quantum Channels ◽  
Open Quantum ◽  
Markovian Dynamics ◽  
Matter Interaction ◽  
Local Quantum

Knowledge of the relationships among different features of quantumness, like entanglement and state purity, is important from both fundamental and practical viewpoints. Yet, this issue remains little explored in dynamical contexts for open quantum systems. We address this problem by studying the dynamics of entanglement and purity for two-qubit systems using paradigmatic models of radiation-matter interaction, with a qubit being isolated from the environment (spectator configuration). We show the effects of the corresponding local quantum channels on an initial two-qubit pure entangled state in the concurrence–purity diagram and find the conditions which enable dynamical closed formulas of concurrence, used to quantify entanglement, as a function of purity. We finally discuss the usefulness of these relations in assessing entanglement and purity thresholds which allow noisy quantum teleportation. Our results provide new insights about how different properties of composite open quantum systems behave and relate each other during quantum evolutions.

Sign in / Sign up

Export Citation Format

Share Document