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.

scholarly journals IBM Q Experience as a versatile experimental testbed for simulating open quantum systems

2020 ◽  
Vol 6 (1) ◽  
Author(s):  
Guillermo García-Pérez ◽  
Matteo A. C. Rossi ◽  
Sabrina Maniscalco
Keyword(s):  
Quantum Electrodynamics ◽  
Quantum Physics ◽  
Open Quantum Systems ◽  
Cavity Quantum Electrodynamics ◽  
Quantum Systems ◽  
Entangled State ◽  
Specific Class ◽  
Linear Optics ◽  
Open Quantum ◽  
State Generation

AbstractThe advent of noisy intermediate-scale quantum (NISQ) technology is changing rapidly the landscape and modality of research in quantum physics. NISQ devices, such as the IBM Q Experience, have very recently proven their capability as experimental platforms accessible to everyone around the globe. Until now, IBM Q Experience processors have mostly been used for quantum computation and simulation of closed systems. Here, we show that these devices are also able to implement a great variety of paradigmatic open quantum systems models, hence providing a robust and flexible testbed for open quantum systems theory. During the last decade an increasing number of experiments have successfully tackled the task of simulating open quantum systems in different platforms, from linear optics to trapped ions, from nuclear magnetic resonance (NMR) to cavity quantum electrodynamics. Generally, each individual experiment demonstrates a specific open quantum system model, or at most a specific class. Our main result is to prove the great versatility of the IBM Q Experience processors. Indeed, we experimentally implement one and two-qubit open quantum systems, both unital and non-unital dynamics, Markovian and non-Markovian evolutions. Moreover, we realise proof-of-principle reservoir engineering for entangled state generation, demonstrate collisional models, and verify revivals of quantum channel capacity and extractable work, caused by memory effects. All these results are obtained using IBM Q Experience processors publicly available and remotely accessible online.

scholarly journals Shortcuts to Adiabaticity in Driven Open Quantum Systems: Balanced Gain and Loss and Non-Markovian Evolution

Quantum ◽  
2020 ◽  
Vol 4 ◽  
pp. 336 ◽  
Author(s):  
Sahar Alipour ◽  
Aurelia Chenu ◽  
Ali T. Rezakhani ◽  
Adolfo del Campo
Keyword(s):  
Open Quantum Systems ◽  
Quantum Systems ◽  
Quantum Oscillator ◽  
Quantum Processes ◽  
Open Quantum ◽  
Markovian Dynamics ◽  
Shortcuts To Adiabaticity ◽  
Speed Up ◽  
Gain And Loss ◽  
Universal Scheme

A universal scheme is introduced to speed up the dynamics of a driven open quantum system along a prescribed trajectory of interest. This framework generalizes counterdiabatic driving to open quantum processes. Shortcuts to adiabaticity designed in this fashion can be implemented in two alternative physical scenarios: one characterized by the presence of balanced gain and loss, the other involves non-Markovian dynamics with time-dependent Lindblad operators. As an illustration, we engineer superadiabatic cooling, heating, and isothermal strokes for a two-level system, and provide a protocol for the fast thermalization of a quantum oscillator.

scholarly journals Colloquium: Non-Markovian dynamics in open quantum systems

2016 ◽  
Vol 88 (2) ◽  
Author(s):  
Heinz-Peter Breuer ◽  
Elsi-Mari Laine ◽  
Jyrki Piilo ◽  
Bassano Vacchini
Keyword(s):  
Open Quantum Systems ◽  
Quantum Systems ◽  
Open Quantum ◽  
Markovian Dynamics

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 Erratum: General Non-Markovian Dynamics of Open Quantum Systems [Phys. Rev. Lett. 109 , 170402 (2012)]

2017 ◽  
Vol 118 (5) ◽  
Author(s):  
Wei-Min Zhang ◽  
Ping-Yuan Lo ◽  
Heng-Na Xiong ◽  
Matisse Wei-Yuan Tu ◽  
Franco Nori
Keyword(s):  
Open Quantum Systems ◽  
Quantum Systems ◽  
Open Quantum ◽  
Markovian Dynamics
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